Joseph Keller | Academic Influence

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Joseph Keller

Mathematics

#615

World Rank

#1147

Historical Rank

#270

USA Rank

Measure Theory

#49

World Rank

#83

Historical Rank

#26

USA Rank

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Mathematics

Joseph Keller's Degrees

PhD Mathematics University of Chicago
Bachelors Mathematics University of Chicago

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According to Wikipedia, Joseph Bishop Keller was an American mathematician who specialized in applied mathematics. He was best known for his work on the "geometrical theory of diffraction" . Early life and education Born in Paterson, New Jersey on July 31, 1923, Keller attended Eastside High School, where he was a member of the math team. After earning his undergraduate degree in 1943 at New York University, Keller obtained his PhD in 1948 from NYU under the supervision of Richard Courant. He was a professor of mathematics in the Courant Institute at New York University until 1979. Then he was Professor of Mathematics and Mechanical Engineering at Stanford University until 1993, when he became professor emeritus.

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Joseph Keller's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Geometrical theory of diffraction. (1962) (2919)
Bubble Oscillations of Large Amplitude (1980) (963)
The transverse force on a spinning sphere moving in a viscous fluid (1961) (872)
On solutions of δu=f(u) (1957) (694)
Ocular dominance column development: analysis and simulation. (1989) (658)
Exact non-reflecting boundary conditions (1989) (622)
Transport equations for elastic and other waves in random media (1996) (534)
Corrected bohr-sommerfeld quantum conditions for nonseparable systems (1958) (489)
Poroelasticity equations derived from microstructure (1981) (467)
A Theorem on the Conductivity of a Composite Medium (1964) (453)
Diffraction by an Aperture (1957) (382)
Asymptotic solution of neutron transport problems for small mean free paths (1974) (380)
Damping of Underwater Explosion Bubble Oscillations (1956) (368)
Traveling wave solutions of a nerve conduction equation. (1973) (358)
Fast reaction, slow diffusion, and curve shortening (1989) (338)
Impact With Friction (1986) (325)
Asymptotic solution of eigenvalue problems (1960) (322)
Elastic, Electromagnetic, and Other Waves in a Random Medium (1964) (316)
On nonreflecting boundary conditions (1995) (284)
Slender-body theory for slow viscous flow (1976) (281)
The shape of the strongest column (1960) (279)
Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting Cylinders (1963) (267)
Spatial instability of a jet (1973) (259)
Exact Nonreflecting Boundary Conditions for the Time Dependent Wave Equation (1995) (252)
Elastic Wave Propagation in Homogeneous and Inhomogeneous Media (1959) (250)
Strongest Columns and Isoperimetric Inequalities for Eigenvalues (1962) (249)
Surface Tension Driven Flows (1983) (239)
Wave propagation and underwater acoustics (1977) (228)
Standing surface waves of finite amplitude (1960) (222)
Non-reflecting boundary conditions for elastic waves (1990) (218)
A finite element method for large domains (1989) (208)
Strong Localized Perturbations of Eigenvalue Problems (1993) (194)
Complex Rays with an Application to Gaussian Beams (1971) (191)
Post Buckling Behavior of Elastic Tubes and Rings with Opposite Sides in Contact (1972) (191)
Bifurcation theory and nonlinear eigenvalue problems, 1967 (1968) (180)
Periodic oscillations in a model of thermal convection (1966) (175)
Nonreflecting Boundary Conditions for Time-Dependent Scattering (1996) (172)
Accuracy and Validity of the Born and Rytov Approximations (1969) (167)
Diffraction and reflection of pulses by wedges and corners (1951) (167)
Weakly nonlinear high frequency waves (1983) (167)
Boundary layer problems in diffraction theory (1960) (164)
The Probability of Heads (1986) (164)
Diffraction of a convex cylinder (1956) (161)
Stochastic equations and wave propagation in random media (1964) (153)
Surface tension force on a partly submerged body (1998) (151)
Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue Problems (1993) (143)
ASYMPTOTIC METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS: THE REDUCED WAVE EQUATION AND MAXWELL'S EQUATION (1995) (142)
Surface waves on water of non-uniform depth (1958) (136)
Ray Theory of Reflection from the Open End of a Waveguide (1968) (132)
Rays, waves and asymptotics (1978) (127)
THE SOLITARY WAVE AND PERIODIC WAVES IN SHALLOW WATER (1948) (126)
Optimal exercise boundary for an American put option (1998) (126)
A theory of competitive running (1973) (125)
Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals (1964) (123)
Periodic vibrations of systems governed by nonlinear partial differential equations (1966) (118)
Swimming of flagellated microorganisms. (1976) (114)
Effective viscosity of a periodic suspension (1984) (110)
Gravity waves on ice‐covered water (1998) (107)
Effective elasticity tensor of a periodic composite (1984) (107)
Extremum principles for slow viscous flows with applications to suspensions (1967) (106)
Stochastic Differential Equations with Applications to Random Harmonic Oscillators and Wave Propagation in Random Media (1971) (105)
Homogenization of Rough Boundaries and Interfaces (1997) (103)
Asymptotic Solution of the Dirac Equation (1963) (102)
Reflection of water waves from floating ice in water of finite depth (1950) (101)
Optimal Velocity in a Race (1974) (100)
Low‐Energy Expansion of Scattering Phase Shifts for Long‐Range Potentials (1963) (100)
Exact and asymptotic representations of the sound field in a stratified ocean (1977) (99)
Instability and transition in curved channel flow (1988) (98)
WAVE PROPAGATION IN RANDOM MEDIA (1960) (98)
Darcy's Law for Flow in Porous Media and the Two-Space Method, (1980) (97)
Geometrical Theory of Diffraction in Inhomogeneous Media (1959) (95)
Depolarization and blurring of optical images by biological tissue. (2001) (94)
Light propagation in biological tissue (2003) (94)
Viscous flow through a grating or lattice of cylinders (1964) (89)
Effective Behavior of Heterogeneous Media (1977) (87)
Range of the first two eigenvalues of the laplacian (1994) (87)
Nonreflecting Boundary Conditions for Maxwell's Equations (1998) (86)
Recurrent precipitation and Liesegang rings (1981) (86)
Slender jets and thin sheets with surface tension (1990) (85)
Perturbation Theory of Nonlinear Boundary-Value Problems (1969) (85)
The Tallest Column (1966) (83)
Synchronization of periodical cicada emergences. (1976) (82)
Flow of a viscous fluid through an elastic tube with applications to blood flow. (1972) (81)
Temperature of a nonlinearly radiating semi-infinite solid (1972) (79)
Free surface flow due to a sink (1987) (76)
Breaking of liquid films and threads (1983) (76)
Axially symmetric potential flow around a slender body (1967) (75)
Axisymmetric bubble or drop in a uniform flow (1981) (73)
Internal Wave Wakes of a Body Moving in a Stratified Fluid (1970) (72)
A hybrid numerical asymptotic method for scattering problems (2001) (72)
Peeling, Slipping and Cracking—Some One-Dimensional Free-Boundary Problems in Mechanics (1978) (72)
Exact Nonreflecting Boundary Condition For Elastic Waves (2000) (72)
Surface Wave Excitation and Propagation (1960) (71)
Stresses in Narrow Regions (1993) (70)
Instability intervals of Hill's equation (1963) (69)
Optimum Checking Schedules for Systems Subject to Random Failure (1974) (69)
High-order boundary conditions and finite elements for infinite domains (1997) (67)
Reaction-diffusion processes and evolution to harmonic maps (1989) (67)
Cavity ripples observed during the impact of solid objects into liquids. (2007) (67)
Asymptotic Solutions of Initial Value Problems for Nonlinear Partial Differential Equations (1970) (67)
Reaction Kinetics of a Long Chain Molecule (1962) (65)
Three-dimensional water waves (1996) (65)
Coiling of flexible ropes (1996) (64)
WATER WAVE RUN-UP ON A BEACH (1964) (64)
Uniform asymptotic solutions of second order linear ordinary differential equations with turning points (1970) (62)
Geometrical Theory of Elastic Surface‐Wave Excitation and Propagation (1964) (61)
Diffraction Coefficients for Higher Order Edges and Vertices (1972) (61)
Backscattering from a finite cone (1960) (61)
The high‐frequency asymptotic field of a point source in an inhomogeneous medium (1963) (61)
Zeros of Hankel Functions and Poles of Scattering Amplitudes (1963) (60)
Reaction Kinetics of a Long‐Chain Molecule. II. Arends' Solution (1963) (60)
Electrohydrodynamics I. the Equilibrium of a Charged Gas in a Container (2013) (58)
Closest Unitary, Orthogonal and Hermitian Operators to a Given Operator (1975) (58)
Spectra of Water Waves in Channels and around Islands (1968) (57)
Lower Bounds and Isoperimetric Inequalities for Eigenvalues of the Schrödinger Equation (1961) (57)
Factorization of matrices by least-squares (1962) (56)
Asymptotic behavior of stability regions for Hill's equation (1987) (55)
Exponential-Like Solutions of Systems of Linear Ordinary Differential Equations (1962) (55)
Macroscopic Modelling of Turbulent Flows (1985) (55)
Effective Dielectric Constant, Permeability, and Conductivity of a Random Medium and the Velocity and Attenuation Coefficient of Coherent Waves (1966) (54)
Effective conductivity of periodic composites composed of two very unequal conductors (1987) (54)
Shallow-water theory for arbitrary slopes of the bottom (2003) (54)
Asymptotic expansions of solutions of (▽2+k2)u=0 (1955) (54)
Transport theory for acoustic waves with reflection and transmission at interfaces (1999) (53)
Asymptotic Theory of Diffraction in Inhomogeneous Media (1959) (52)
Dipole Moments in Rayleigh Scattering (1972) (52)
Rough surface scattering via the smoothing method (1983) (52)
Stability of the P-to-S energy ratio in the diffusive regime (1996) (51)
Determination of Intermolecular Potentials from Thermodynamic Data and the Law of Corresponding States (1959) (50)
Caustics of nonlinear waves (1987) (50)
Spherical, cylindrical and one-dimensional gas flows (1956) (49)
the Value of π in (2009) (48)
The shape of a Möbius band (1993) (46)
Probability of Winning at Tennis I. Theory and Data (2005) (45)
Wave Propagation in a Fluid‐Filled Tube (1971) (45)
Weak shock diffraction (1984) (44)
A finite element method for domains with corners (1992) (43)
Bohm's Interpretation of the Quantum Theory in Terms of (1953) (43)
Elastic behavior of composite media (1973) (43)
Hill's equation with a large potential (1985) (42)
The inverse scattering problem in geometrical optics and the design of reflectors (1959) (42)
The Feynman integral (1975) (42)
Rate of Convergence to a Stable Law (2001) (41)
Diffusion at finite speed and random walks. (2004) (41)
Determination of the Potential from Scattering Data (1956) (41)
Crawling of worms (1983) (41)
Special finite elements for use with high-order boundary conditions (1994) (41)
Three‐Dimensional Standing Surface Waves of Finite Amplitude (1962) (39)
Wave propagation in a viscoelastic tube containing a viscous fluid (1978) (39)
One hundred years of diffraction theory (1985) (38)
Expansion and Contraction of Planar, Cylindrical, and Spherical Underwater Gas Bubbles (1972) (37)
Reflection and Transmission by a Random Medium (1969) (36)
Contact Problems Involving a Buckled Elastica (1973) (35)
Mean power transmission through a slab of random medium (1971) (35)
Ropes in equilibrium (1987) (35)
Flexural rigidity of a liquid surface (1991) (35)
On the solution of the Boltzmann equation for rarefied gases (1948) (35)
Internal wave propagation in an inhomogeneous fluid of non-uniform depth (1969) (34)
Buckled states of circular plates (1962) (34)
Flows of thin streams with free boundaries (1973) (34)
TIME-DEPENDENT QUEUES* (1982) (33)
Discrete Dirichlet-to-Neumann maps for unbounded domains (1998) (33)
Current on and input impedance of a cylindrical antenna (1962) (32)
Progress and Prospects in the Theory of Linear Wave Propagation (1979) (32)
Water Waves Produced by Explosions (2015) (32)
Periodic Folding of Thin Sheets (1995) (32)
Transient Behavior of Unstable Nonlinear Systems with Applications to the Bénard and Taylor Problems (1971) (32)
Asymptotics beyond all orders for a low Reynolds number flow (1996) (31)
A new family of capillary waves (1980) (31)
Partition asymptotics from recursion equations (1990) (31)
Reflection and transmission coefficients for waves entering or leaving an icefield (1953) (31)
Reciprocal relations for effective conductivities of anisotropic media (1985) (30)
Asymptotic analysis of stochastic models in population genetics (1975) (30)
Jets rising and falling under gravity (1982) (30)
Conductivity Tensor and Dispersion Equation for a Plasma (1962) (30)
Flows over rectangular weirs (1988) (30)
Geometrical Acoustics. II. Diffraction, Reflection, and Refraction of a Weak Spherical or Cylindrical Shock at a Plane Interface (1955) (29)
Reflection, scattering, and absorption of acoustic waves by rough surfaces (1983) (29)
A Characterization of the Poisson Distribution and the Probability of Winning a Game (1994) (29)
Decay exponents and diffraction coefficients for surface waves on surfaces of nonconstant curvature (1959) (29)
Uniform Ray Theory of Surface, Internal and Acoustic Wave Propagation in a Rotating Ocean or Atmosphere (1975) (29)
Pouring flows with separation (1989) (28)
Surfing on solitary waves (1989) (28)
Front Interaction and Nonhomogeneous Equilibria for Tristable Reaction-Diffusion Equations (1993) (28)
Diffraction by a Smooth Object (2015) (28)
A Hybrid Asymptotic-Numerical Method for Low Reynolds Number Flows Past a Cylindrical Body (1995) (28)
Large Amplitude Motion of a String (1959) (28)
Loss of boundary conditions in the asymptotic solution of linear ordinary differential equations, II boundary value problems (1968) (27)
Quantum-Mechanical Second Virial Coefficient of a Hard-Sphere Gas at High Temperature (1966) (26)
Merging and wetting driven by surface tension (2000) (26)
The Minimum Ratio of Two Eigenvalues (1976) (26)
Irreversibility and nonrecurrence (1986) (26)
Plate Failure under Pressure (1980) (26)
The ray theory of ship waves and the class of streamlined ships (1979) (26)
Inner and Outer Iterations for the Chebyshev Algorithm (1998) (25)
Bowing of violin strings (1953) (25)
Shift of the Shadow Boundary and Scattering Cross Section of an Opaque Object (1961) (24)
The stability of growing or evaporating crystals (1993) (24)
Flow in Random Porous Media (2001) (24)
Quantization of the Fluxoid in Superconductivity (1961) (24)
Inverse elastic scattering in three dimensions (1986) (23)
Instability of Liquid Surfaces and the Formation of Drops (2015) (23)
Ray method for nonlinear wave propagation in a rotating fluid of variable depth (1973) (23)
How Dark is the Shadow of a Round‐Ended Screen? (1959) (23)
Quench front propagation (1981) (23)
Heat conduction in a one‐dimensional random medium (1978) (23)
Geometrical Acoustics I: The Theory of Weak Shock Waves (2011) (22)
Particle distribution functions in suspensions (1989) (22)
Diffraction by a Curved Wire (1970) (22)
Nonlinear hyperbolic waves (1988) (22)
UNIFORM ASYMPTOTIC SOLUTIONS FOR POTENTIAL FLOW AROUND A THIN AIRFOIL AND THE ELECTROSTATIC POTENTIAL ABOUT A THIN CONDUCTOR (1968) (22)
Finite‐Amplitude Sound‐Wave Propagation in a Waveguide (1971) (21)
Stability of periodic plane waves (1987) (21)
Fair dice (1989) (21)
Propagation of Acoustic Waves in a Turbulent Medium (1971) (21)
Nonlinear Eigenvalue Problems under Strong Localized Perturbations with Applications to Chemical Reactors (1991) (20)
Asymptotic analysis of a viscous cochlear model. (1985) (20)
High-frequency asymptotics for the numerical solution of the Helmholtz equation (2005) (20)
Refractive Index, Attenuation, Dielectric Constant, and Permeability for Waves in a Polarizable Medium (1967) (19)
Asymptotic Theory of Nonlinear Wave Propagation (1973) (19)
Propagation of a magnetic field into a superconductor (1958) (18)
Acoustoelastic effect and wave propagation in heterogeneous weakly anisotropic materials (1985) (18)
Optical polarization imaging in biological tissue (2001) (18)
Reflection and Transmission of Sound by a Moving Medium (1955) (18)
Sound waves in a periodic medium containing rigid spheres (1987) (18)
Deformation of a bubble or drop in a uniform flow (1980) (17)
Eulerian number asymptotics (1994) (17)
The Electrostatic Field Around a Slender Conducting Body of Revolution (1967) (17)
Planing of a flat plate at high Froude number (1974) (17)
Capillary-gravity wave drag (2001) (17)
An axisymmetric free surface with a 120 degree angle along a circle (1997) (17)
Biot's poroelasticity equations by homogenization (1982) (17)
Sedimentation of a dilute suspension (1989) (17)
Asymptotic theory of propagation in curved and nonuniform waveguides (1974) (16)
Short time asymptotic expansions of solutions of parabolic equations (1972) (16)
Determination of reflected and transmitted fields by geometrical optics (2011) (15)
On Solutions of Nonlinear Wave Equations (2017) (15)
Upward ‘falling’ jets and surface tension (1957) (15)
Surveys in Applied Mathematics (2014) (15)
Bounds on Elastic Moduli of Composite Media (1969) (15)
Stirling number asymptotics from recursion equations using the ray method (1991) (15)
Short acoustic, electromagnetic, and elastic waves in random media (1995) (15)
Shape of a sail in a flow (1981) (15)
Diffraction of a Shock or an Electromagnetic Pulse by a Right‐Angled Wedge (1952) (15)
Perturbation Theory of Nonlinear Electromagnetic Wave Propagation (1969) (15)
The stability of rapidly growing or evaporating crystals (1993) (14)
An Asymptotically Derived Boundary Element Method for the Helmholtz Equation (2004) (14)
Backscattering from a finite cone--Comparison of theory and experiment (1961) (14)
Asymptotic solution of eigenvalue problems for second-order ordinary differential equations (1975) (14)
Lower bounds on permeability (1987) (14)
Oblique Derivative Boundary Conditions and the Image Method (1981) (14)
Diffraction by Edges and Vertices of Interfaces (1975) (14)
Rossby waves in the presence of random currents (1969) (14)
Water wave reflection due to surface tension and floating ice (1953) (14)
Stability of plane wave solutions of nonlinear systems (1988) (14)
Stability of rotating shear flows in shallow water (1992) (14)
Unitary Correlations and the Fejér Kernel (2001) (14)
Asymptotic Solution of Some Diffraction Problems (2018) (13)
Singularities and Rayleigh's hypothesis for diffraction gratings. (2000) (13)
Asymptotic properties of eigenvalues of integral equations (1991) (13)
Reflection and Transmission of Sound by Thin Curved Shells (1947) (13)
Diffraction of Sound around a Circular Disk (1947) (13)
Melting and freezing at constant speed (1986) (12)
Asymptotic Analysis of Diffusion Equations in Population Genetics (1978) (12)
A Tri-Allelic Diffusion Model with Selection (1978) (12)
Advection diffusion past a strip. I. Normal incidence (1997) (12)
Extremum Principles for Irreversible Processes (1970) (12)
Wave propagation in elastic rods of arbitrary cross section (1974) (11)
Simple proofs of the theorems of J. S. Lomont and H. E. Moses on the decomposition and representation of vector fields (1961) (11)
Wave propagation in nonuniform elastic rods (1975) (11)
Diffraction by an Aperture. II (2011) (11)
Soliton generation and nonlinear wave propagation (1985) (10)
Singularities at the tip of a plane angular sector (1999) (10)
Removing Small Features from Computational Domains (1994) (10)
Resonantly interacting water waves (1988) (10)
Discriminant, transmission coefficient, and stability bands of Hill’s equation (1984) (10)
Stability of linear shear flows in shallow water (1995) (10)
Internal and surface wave production in a stratified fluid (1981) (10)
Effect of viscosity on swimming velocity of bacteria. (1974) (10)
Bubble or Drop Distortion in a Straining Flow in Two Dimensions (1980) (10)
Breaking and merging of liquid sheets and filaments (2002) (9)
Iterative solution of elliptic problems by approximate factorization (1997) (9)
Finite Amplitude Sound Waves (1953) (9)
Ponytail Motion (2010) (9)
Uniform Asymptotic Solution of Eigenvalue Problems for Convex Plane Domains (1973) (9)
Advection–diffusion past a strip. II. Oblique incidence (1997) (9)
Asymptotic and Numerical Results for Blowing-Up Solutions to Semilinear Heat Equations (1993) (8)
Large deviation theory for stochastic difference equations (1997) (8)
Optimal pricing, use and exploration of uncertain natural resources (1994) (8)
Stability of crystals that grow or evaporate by step propagation (1990) (8)
Laboratory observations and simple models of slow oscillations in cooled salt-stratified bodies (2005) (8)
The Scope of the Image Method (2018) (8)
Boundary and initial boundary-value problems for separable backward–forward parabolic problems (1997) (8)
Radiation from the open end of a cylindrical or conical pipe and scattering from the end of a rod or slab. [acoustic radiation] (1977) (8)
Optimal Catalyst Distribution in a Membrane (1984) (8)
The Stefan Problem for a Nonlinear Equation (1960) (8)
Quantum mechanical states as attractors for Nelson processes (7)
Ray solution of a backward–forward parabolic problem for data-handling systems (2000) (7)
Capillary waves on a vertical jet (1983) (7)
Approximate Equations for Large Scale Atmospheric Motions (2006) (7)
Stochastic differential equations (1973) (7)
WAVE RESISTANCE AND WAVE PATTERNS OF THIN SHIPS (1976) (7)
Nonlinear forced and free vibrations in acoustic waveguides (1974) (7)
Changes in adiabatic invariants (1991) (7)
A hyperbolic equation for turbulent diffusion (2000) (7)
Asymptotic behavior of high‐order differences of the partition function (1991) (7)
SMALL VIBRATION OF A SLIGHTLY STIFF PENDULUM (1962) (7)
Uniform solutions for scattering by a potential barrier and bound states of a potential well (1986) (6)
Survey of wave propagation and underwater acoustics (1977) (6)
Genetic variability due to geographical inhomogeneity (1984) (6)
Finite Amplitude Sound Produced by a Piston in a Closed Tube (1954) (6)
Elastic Waves Produced by Surface Displacements (1974) (6)
Acoustic Torques and Forces on Disks (2011) (6)
Quantum Mechanical Cross Sections for Small Wavelengths (1972) (6)
πp, the Value of π in ℓp (2009) (6)
Weak Diffracted shocks near singular rays (2000) (5)
Statistical Mechanics of the Moment Stress Tensor (1966) (5)
Probability of a Shutout in Racquetball (1984) (5)
Geometrical methods and asymptotic expansions in wave propagation (1963) (5)
Reflection and Transmission of Electromagnetic Waves by Thin Curved Shells (2010) (5)
How Many Shuffles to Mix a Deck? (1995) (5)
On unsymmetrically impinging jets (1990) (5)
Kelvin Wave Production (1981) (5)
Some Bubble and Contact Problems (1980) (5)
The Field of an Antenna Near the Center of a Large Circular Disk (1963) (5)
Perturbation Theory of Nonlinear Wave Propagation (1973) (4)
Contact of Inflated Membranes With Rigid Surfaces (1974) (4)
Singularities on Free Surfaces of Fluid Flows (1998) (4)
Asymptotic Evaluation of the Field at a Caustic (2015) (4)
Precipitation pattern formation (1988) (4)
SOLUTION OF THE FUNCTIONAL DIFFERENTIAL EQUATION FOR THE STATISTICAL EQUILIBRIUM OF A CRYSTAL (1961) (4)
Advection–diffusion around a curved obstacle (1998) (4)
Asymptotic solution of higher‐order differential equations with several turning points, and application to wave propagation in slowly varying waveguides (2010) (4)
WAVE PATTERNS OF NON-THIN OR FULL-BODIED SHIPS (1976) (4)
Newton’s second law (1987) (4)
Statistical Mechanics of a Fluid in an External Potential (1966) (4)
Optimal Shape of a Planing Surface at High Froude Number (1977) (4)
Impact With an Impulsive Frictional Moment (1987) (3)
Collapse of wavefunctions and probability densities (1990) (3)
Eigenvalues of slender cavities and waves in slender tubes (1983) (3)
Liesegang Rings and a Theory of Fast Reaction and Slow Diffusion (1980) (3)
Extremal Convex Planar Sets (2005) (3)
Force on a Rigid Sphere in an Incompressible Inviscid Fluid (1971) (3)
Classical and Quantum Mechanical Correlation Functions of Fields in Thermal Equilibrium (1970) (3)
Nonlinear wave motion in a strong potential (1991) (3)
Reflection and Transmission of Sound by a Spherical Shell (1948) (3)
Temperley’s model of gas condensation (1981) (3)
Electromagnetic Diffraction and Propagation Problems (V. A. Fock) (1967) (3)
Modification of bubble oscillations by nearby objects (1978) (3)
The field of a pulsed dipole in an interface (1959) (3)
Reflection of Elastic Waves from Cylindrical Surfaces (1969) (3)
A Celebration of Mathematical Modeling: The Joseph B. Keller Anniversary Volume (2010) (3)
Scattering by a slender body (1986) (3)
Equation of state and phase transition of the spherical lattice gas (2010) (3)
Periodically Generated Propagating Pulses (2005) (3)
Lowest eigenvalues of nearly circular regions (1954) (3)
Minimum dissipation rate flow with given flux (2003) (3)
Asymptotic evaluation of oscillatory sums (1993) (3)
Determination of a Potential from its Energy Levels and Undetectability of Quantization at High Energy (1962) (3)
Backscattering from a circular loop of wire (1972) (3)
Progressing Waves Diffracted by Smooth Surfaces (1969) (3)
Singularities of semilinear waves (1993) (3)
Errata: Diffraction by an Aperture (1958) (3)
Finite Elastic Deformation Governed by Linear Equations (1986) (3)
Drop evaporation through a thin membrane (1993) (2)
Stirling's formula derived simply (2007) (2)
Power laws for turbulent boundary layer flow (2002) (2)
Network model of ocular dominance column formation: Analytical results (1988) (2)
The Admittance of a Parallel-Plate Waveguide Aperture Illuminating A Metal Sheet (1968) (2)
Underwater explosion bubbles II, the effect of gravity and the change of shape (2011) (2)
Models of Ocular Dominance Column Formation: Analytical and Computational Results (1988) (2)
Effective Conductivities of Reciprocal Media (1987) (2)
Bounds on phase shifts (1957) (2)
Impedance between Perfect Conductors in a Finitely Conducting Medium with Application to Composite Media (1963) (2)
Planing of a long plate (2014) (1)
Underwater Explosion Bubbles. I: The Effect of Compressibility of the Water (2015) (1)
U.S.A. National Assembly, Committee Report, Fifteenth URSI General Munich, September 1966: Commission 6, Radio Waves and Transmission OF Information; Progress. in Radio Waves and Transmission of (1966) (1)
Decay of Spherical Sound Pulses Due to Viscosity and Heat Conduction (1954) (1)
Multiple Shock Reflection in Corners (1954) (1)
High‐Intensity Sound and Shock Waves (1956) (1)
PARABOLIC APPROXIMATIONS FOR SHIP WAVES AND WAVE RESISTANCE (1981) (1)
Probability of Brownian Motion Hitting an Obstacle (1999) (1)
Reflection and transmission of electromagnetic waves by a spherical shell (2010) (1)
Short Note: Artificial boundary conditions for axisymmetric slow viscous flow (2005) (1)
Diffraction by a Spheroid (2011) (1)
Beam propagation in multiple scattering media (2003) (1)
Accurate Procedures for Approximate Bayesian and Conditional Inference Without the Need for Orthogonal Parameters (1992) (1)
Nonlinear Phenomena in Electromagnetic Theory and Acoustics. (1978) (1)
Charge density on a slender axially symmetric conducting body (2003) (1)
Water wave production by oscillating bodies (2013) (1)
Optimal Running Strategy to Escape from Pursuers (2000) (1)
Diffraction by a semi-infinite screen with a rounded end (2011) (1)
On the Transveres Diffusion of Short Waves Diffracted by a Convex Cylinder (1963) (1)
Parallel reflection of light by plane mirrors (1953) (1)
A recursion equation for prime numbers (2007) (1)
Network model of ocular dominance column formation: Computational results (1988) (1)
Propagation of electromagnetic pulses around the earth (2011) (1)
Free Boundary Problems in Mechanics (1984) (0)
The Physical Optics of Focused Scatterers Using (1974) (0)
Diffusively Coupled Dynamical Systems (1991) (0)
The eigenvalues and eigenfunctions of the elliptical membrane (1968) (0)
Generation and Airborne Detection of Internal Waves from an Object Moving through a Stratified Ocean. Volume 2: Supporing Analyses (1969) (0)
[Bogomoletz serum; theoretical basis, practical use and report on experience]. (1954) (0)
Expansion of an Underwater Cylinderical Gas Bubble (1968) (0)
IMM-HIU 185 September 1952 CL-CZ \ CO SPHERICAL , CYLINDRICAL AND ONE-DIMENSIONAL PLOWS OF COMPRESSIBLE FLUIDS by Joseph 3 (2009) (0)
Irreversibility and Nonreeurrenee (1986) (0)
Techniques and Applications of Path Integration (Lawrence S. Schulman) (1984) (0)
Shallow-water theory for arbitrary slopes of the bottom (2004) (0)
Theoretical Study of a Cylindrical Antenna with a Hemispherical Cap (1969) (0)
Diffraction in Inhomogeneous Media (2015) (0)
Free Boundary Problems ill Mechanics (1984) (0)
Statistical laws of motion of relaxation-systems (1969) (0)
Weak shock diffraction and singular rays (1998) (0)
Piecewise Linear Phase Transitions (2007) (0)
On the approximation of Markov-Chains of high order by Markov-Chains of low order (1968) (0)
Erratum: Diffraction by an Aperture. II (1968) (0)
A MECHANISM OF PRECURSOR FORMATION (1954) (0)
COMPUTERS AND CHAOS IN MECHANICS (1985) (0)
Mathematical problems of nonlinear wave propagation and of waves in heterogeneous media (1986) (0)
Progress Report, Grant AFOSR-79-0134, January 1, 1983 - September 30, 1983, (1983) (0)
Reaction kinetics on a lattice (1986) (0)
Erratum: Temperley’s model of gas condensation [J. Chem. Phys. 74, 4203 (1981)] (1982) (0)
Asymptotic Solution of Systems of Linear Ordinary Differential Equations With Discontinuous Coefficients (2018) (0)
Misuse of game theory. (1987) (0)
Lecture 4 : Geometrical Theory of Diffraction ( continued ) and the Shallow Water Theory (2006) (0)
Variability of effective parameters of random media (1999) (0)
Bernard A. Lippman (1989) (0)
RAYS, WAVES AND ASYMPTOTICS 1 (2007) (0)
Comment on Diamond's response (1987) (0)
Nonlinear and Random Phenomena in Electromagnetic and Acoustic Wave Propagation. (1987) (0)
Progress Report, Grant AFOSR-79-0134, September 1, 1981 - August 31, 1982, (1982) (0)
Nonlinear phenomena in electromagnetic and acoustic wave propagation (1984) (0)
HOMOGENEOUS BRANCHED-CHAIN EXPLOSIONS ∗ (2008) (0)
Motion of Underwater One‐Dimensional Gas Bubbles (1969) (0)
Spherical, Cylindrical and One-Dimensional Flows of Compressible Fluids (2011) (0)
Homogeneous Branched-Chain Explosions (2007) (0)
Addendum: asymptotic theory of nonlinear waye propagation (1987) (0)
Sound Waves in a Medium Containing Rigid Spheres (1986) (0)
The Feynman Lntegral (2008) (0)
4. Foundations of Modern Diffraction Theory (2016) (0)
Erratum: Ray method for nonlinear wave propagation in a rotating fluid of variable depth[ Phys. Fluids 16, 1565 (1973)] (1981) (0)
Appearing or Submitted in 1986-89 " Ropes in Equilibrium " ( with (0)
OF THE AMERICAN MATHEMATICAL SOCIETY Volume 84 , Number 5 , September 1978 RAYS , WAVES AND ASYMPTOTICS (2007) (0)
Probability distribution of the resistance of a random network (2008) (0)
Mortality rate versus age. (2004) (0)
Heat transport into a shear flow at high Peclet number (1990) (0)
2005 Program of Study: Fast Times and Fine Scales (2006) (0)
Lecture 3 : Asymptotic Methods for the Reduced Wave Equation (2006) (0)
Stochastic Wave Propagation (Kazimierz Sobczyk) (1986) (0)
Progress Report, Grant AFOSR-79-0134, September 1, 1982 - April 30, 1983, (1983) (0)
Instability intervals and growth rates for Hill’s equation (2007) (0)
Diffraction. Waves in random media (1975) (0)

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