Philip Saffman
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British mathematician
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Philip Saffmanmathematics Degrees
Mathematics
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Mathematics
Why Is Philip Saffman Influential?
(Suggest an Edit or Addition)According to Wikipedia, Philip Geoffrey Saffman FRS was a mathematician and the Theodore von Kármán Professor of Applied Mathematics and Aeronautics at the California Institute of Technology. Education and early life Saffman was born to a Jewish family in Leeds, England, and educated at Roundhay Grammar School and Trinity College, Cambridge which he entered aged 15. He received his Bachelor of Arts degree in 1953, studied for Part III of the Cambridge Mathematical Tripos in 1954 and was awarded his PhD in 1956 for research supervised by George Batchelor.
Philip Saffman'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
- The lift on a small sphere in a slow shear flow (1965) (2790)
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid (1958) (2596)
- Brownian motion in biological membranes. (1975) (1511)
- On the collision of drops in turbulent clouds (1956) (1242)
- On the Boundary Condition at the Surface of a Porous Medium (1971) (1141)
- The structure of intense vorticity in isotropic turbulence (1993) (914)
- On the stability of laminar flow of a dusty gas (1962) (767)
- A theory of dispersion in a porous medium (1959) (451)
- The effect of surface tension on the shape of fingers in a Hele Shaw cell (1981) (334)
- Brownian motion in thin sheets of viscous fluid (1976) (306)
- The Velocity of Viscous Vortex Rings (1970) (304)
- Viscous fingering in Hele-Shaw cells (1986) (288)
- The instability of a straight vortex filament in a strain field (1975) (273)
- The motion of a vortex filament with axial flow (1972) (255)
- A model for inhomogeneous turbulent flow (1970) (252)
- Dispersion due to molecular diffusion and macroscopic mixing in flow through a network of capillaries (1960) (248)
- The large-scale structure of homogeneous turbulence (1967) (223)
- On the rise of small air bubbles in water (1956) (222)
- THE PENETRATION OF A FINGER INTO A VISCOUS FLUID IN A CHANNEL AND TUBE (1985) (221)
- Structure of a Line Vortex in an Imposed Strain (1971) (215)
- The number of waves on unstable vortex rings (1978) (210)
- A NOTE ON THE MOTION OF BUBBLES IN A HELE-SHAW CELL AND POROUS MEDIUM (1959) (197)
- Axial flow in laminar trailing vortices (1973) (196)
- Nonlinear interactions of random waves in a dispersive medium (1966) (195)
- The three‐dimensional instability of strained vortices in a viscous fluid (1987) (195)
- Equilibrium shapes of a pair of equal uniform vortices (1980) (189)
- On the Formation of Vortex Rings (1975) (172)
- On the Spectrum and Decay of Random Two-Dimensional Vorticity Distributions at Large Reynolds Number (1971) (167)
- Laser anemometer measurements of trailing vortices in water (1974) (157)
- Three-Dimensional Instability of Finite-Amplitude Water Waves (1981) (146)
- On the motion of small spheroidal particles in a viscous liquid (1956) (144)
- Flow over a Wing with an Attached Free Vortex (1977) (144)
- The density of organized vortices in a turbulent mixing layer (1975) (138)
- On the effect of the molecular diffusivity in turbulent diffusion (1960) (136)
- Vortex dynamics in turbulence (1998) (135)
- On the Settling Speed of Free and Fixed Suspensions (1973) (132)
- Note on Decay of Homogeneous Turbulence (1967) (130)
- Steady Gravity-Capillary Waves On Deep Water-1. Weakly Nonlinear Waves (1979) (130)
- Stability of water waves (1986) (127)
- The effect of wind shear on horizontal spread from an instantaneous ground source (1962) (122)
- Steady Deep‐Water Waves on a Linear Shear Current (1985) (122)
- Turbulence-Model Predictions for Turbulent Boundary Layers (1974) (121)
- Dynamics of vorticity (1981) (119)
- Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves (1980) (115)
- Flow in a Turbulent Trailing Vortex (1971) (115)
- The structure of free vertical shear layers in a rotating fluid and the motion produced by a slowly rising body (1969) (106)
- On the Lundgren–Townsend model of turbulent fine scales (1993) (104)
- Steady Gravity‐Capillary Waves on Deep Water—II. Numerical Results for Finite Amplitude (1980) (104)
- Lectures on Homogeneous Turbulence (1968) (100)
- Stability of weakly nonlinear deep-water waves in two and three dimensions (1981) (98)
- The approach of a vortex pair to a plane surface in inviscid fluid (1979) (89)
- EXACT SOLUTIONS FOR THE GROWTH OF FINGERS FROM A FLAT INTERFACE BETWEEN TWO FLUIDS IN A POROUS MEDIUM OR HELE-SHAW CELL (1959) (83)
- Extensibility of blood vessels in isolated rabbit lungs (1965) (73)
- The structure of intense vorticity in homogeneous isotropic turbulence (1992) (70)
- The touching pair of equal and opposite uniform vortices (1982) (70)
- The self-propulsion of a deformable body in a perfect fluid (1967) (68)
- The superharmonic instability of finite-amplitude water waves (1985) (67)
- Reynolds stresses and one‐dimensional spectra for a vortex model of homogeneous anisotropic turbulence (1994) (66)
- Inviscid swirling flows and vortex breakdown (1995) (63)
- On the fine-scale structure of vector fields convected by a turbulent fluid (1963) (61)
- Stability of a vortex street of finite vortices (1982) (61)
- Three-dimensional stability of an elliptical vortex in a straining field (1984) (58)
- Application of the Wiener-Hermite Expansion to the Diffusion of a Passive Scalar in a Homogeneous Turbulent Flow (1969) (58)
- Overhanging interfacial gravity waves of large amplitude (1983) (56)
- Three-dimensional stability of vortex arrays (1982) (55)
- Structure of a Linear Array of Uniform Vortices (1981) (54)
- Finite-amplitude interfacial waves in the presence of a current (1982) (54)
- Modulation of radar backscatter from the ocean by a variable surface current (1988) (53)
- An approximate calculation of the (1963) (53)
- The Motion of a Vortex Pair in a Stratified Atmosphere (1972) (53)
- Calculations of laminar viscous flow over a moving wavy surface (1982) (53)
- The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow (1988) (53)
- Propagation of a solitary wave along a magnetic field in a cold collision-free plasma (1961) (50)
- Properties of a Vortex Street of Finite Vortices (1981) (50)
- A new type of three-dimensional deep-water wave of permanent form (1980) (49)
- Structure of turbulent line vortices (1973) (49)
- Stability and structure of stretched vortices (1984) (49)
- The linear two-dimensional stability of inviscid vortex streets of finite-cored vortices (1984) (48)
- On hydromagnetic waves of finite amplitude in a cold plasma (1961) (47)
- An inviscid model for the vortex-street wake (1982) (46)
- A model of vortex reconnection (1990) (46)
- Stability of a plane soliton to infinitesimal two‐dimensional perturbations (1978) (42)
- Two-dimensional superharmonic stability of finite-amplitude waves in plane Poiseuille flow (1988) (41)
- Finite-amplitude steady waves in plane viscous shear flows (1985) (41)
- Difficulties with three‐dimensional weak solutions for inviscid incompressible flow (1986) (40)
- The rise of a body through a rotating fluid in a container of finite length (1968) (39)
- Stability of bubbles in a Hele–Shaw cell (1987) (39)
- Structure of a linear array of hollow vortices of finite cross-section (1976) (39)
- Effect of compliant boundaries on weakly nonlinear shear waves in channel flow (1990) (38)
- Waves generated by shear layer instabilities (1991) (38)
- Instability and confined chaos in a nonlinear dispersive wave system (1982) (37)
- On the spectrum of a stretched spiral vortex (1994) (37)
- Problems and progress in the theory of turbulence (1978) (36)
- Long wavelength bifurcation of gravity waves on deep water (1980) (36)
- MODEL EQUATIONS FOR TURBULENT SHEAR FLOW (1974) (34)
- Dispersion in flow through a network of capillaries (1959) (33)
- Kinetic energy generated by the incompressible Richtmyer–Meshkov instability in a continuously stratified fluid (1989) (33)
- Effect of wind profile on the instability of wind blowing over water (1993) (33)
- Long-time symplectic integration: the example of four-vortex motion (1991) (32)
- Prandtl–Batchelor flow past a flat plate with a forward-facing flap (1984) (32)
- Turbulence model predictions for flows with significant mean streamline curvature (1978) (31)
- Dependence on Reynolds Number of High‐Order Moments of Velocity Derivatives in Isotropic Turbulence (1970) (31)
- Water-wave instability induced by a drift layer (1991) (31)
- Three‐Dimensional Stability and Bifurcation of Capillary and Gravity Waves on Deep Water (1985) (29)
- The drag of a body moving transversely in a confined stratified fluid (1970) (29)
- Calculation of velocity structure functions for vortex models of isotropic turbulence (1996) (29)
- The flow induced by the transverse motion of a thin disk in its own plane through a contained rapidly rotating viscous liquid (1969) (26)
- A note on numerical computations of large amplitude standing waves (1979) (24)
- VORTICES, STABILITY, AND TURBULENCE * (1983) (23)
- Stability of plane wave solutions of the two-space-dimensional nonlinear Schrödinger equation (1980) (23)
- Vortex Dynamics by P. G. Saffman (1993) (22)
- Vortex interactions and coherent structures in turbulence (1981) (22)
- The superharmonic instability of finite-amplitude surface waves on water of finite depth (1986) (20)
- Philip Saffman and viscous flow theory (20)
- Effects of viscosity (1993) (19)
- A note on the stability of a vortex ring of small cross-section (1974) (19)
- Anisotropy of the Lundgren–Townsend model of fine‐scale turbulence (1994) (19)
- A simple model for the effect of water shear on the generation of waves by wind (1992) (18)
- Vortex models of isotropic turbulence (1997) (18)
- Results of a two equation model for turbulent flows and development of a relaxation stress model for application to straining and rotating flows (1977) (18)
- Approach of a vortex pair to a rigid free surface in viscous fluid (1991) (15)
- Fingering in porous media (1982) (15)
- AN APPROXIMATE CALCULATION OF THE LAGRANGIAN AUTO-CORRELATIONCOEFFICIENT FOR STATIONARY HOMOGENEOUS TURBULENCE (1963) (15)
- Coherent structures in turbulent flow (1981) (15)
- Instability and filamentation of finite-amplitude waves on vortex layers of finite thickness (1989) (14)
- Comment on "Growth of a weak magnetic field in a turbulent conducting fluid with large magnetic Prandtl number" (1964) (13)
- Effect of a surface shear layer on gravity and gravity–capillary waves of permanent form (1990) (13)
- The effect of nonzero viscosity ratio on the stability of fingers and bubbles in a Hele-Shaw cell (1988) (11)
- Selection Mechanisms and Stability of Fingers and Babblesin Hele-Shaw Cells (1991) (11)
- Bifurcation and symmetry breaking in nonlinear dispersive waves (1980) (10)
- Finite-amplitude waves in inviscid shear flows (1982) (9)
- The two fluid model of the helium film (1971) (9)
- Vortex Induced Lift on Two Dimensional Low Speed Wings (1984) (8)
- Vortex Dynamics and Turbulence (1991) (8)
- Eddy diffusion in shear zones (1963) (7)
- A Model Equation to Study the Effects of Nonlinearity, Surface Tension and Viscosity in Water Waves (1978) (7)
- The stability of vortex arrays to two- and three-dimensional disturbances (1988) (7)
- Conservation of Circulation Theorem for Superfluids (1968) (7)
- Counter-rotating vortex patches in shear: a model of the effect of wind shear on aircraft trailing vortices (2002) (6)
- A model for inhomnogeneous turbulent flow (1970) (6)
- Thickness of the Flowing Superfluid Film (1970) (6)
- The Flow of a Viscous Compressible Fluid Through a Very Narrow Gap (1967) (6)
- The amplification of a weak magnetic field by turbulent motion of a fluid of large conductivity (1964) (5)
- The theory of nondissipative flow in the helium film (1975) (5)
- The structure of quasi-shocks in a collision-free plasma in a magnetic field (1967) (4)
- Flow of a Dusty Gas between Rotating Cylinders (1962) (4)
- Perspectives of vortex dynamics (1985) (4)
- Reply to Comment by A. J. Chorin (1978) (3)
- SAR imaging of bottom topography in the ocean: Results from an improved model (1986) (3)
- New Results on the Statistical Properties of the Large Eddies in Homogeneous Turbulence (1967) (3)
- Fluid Dynamics for Physicists (T. E. Faber) (1996) (2)
- Bubbles and Fingers in Hele-Shaw Cells (1990) (2)
- The Stability of Inviscid Vortex Streets of Finite Cored Vortices. (1984) (2)
- Vortex models of the fine scales of turbulence (1995) (2)
- Structure and Stability of Streets of Finite Vortices (1982) (2)
- HIGHER ORDER KINETIC THEORY OF EXCITATIONS IN He II AND SPONTANEOUS INSTABILITY IN A COUNTER CURRENT. (1970) (2)
- Waves in Fluids (2007) (1)
- Dependence of effective slip on wall roughness in dilute polymer solutions (1977) (1)
- Axisymmetric vortex rings (1993) (1)
- Model equation calculations of the turbulent flow between rotating cylinders and the structure of a turbulent vortex (1978) (1)
- The structure of a hydromagnetic front in a cold collision-free plasma (1962) (1)
- Vortex Dynamics: Vortex sheets in two dimensions (1993) (1)
- Stability of capillary waves on deep water (1986) (1)
- Application of Hamiltonian Methods to the Structure and Stability of Water Waves of Permanent Form (1988) (1)
- Chemical Reactions in Turbulent Mixing. (1979) (1)
- Low Reynolds Number Hydrodynamics. By J. HAPPEL & HOWARD BRENNER. Prentice-Hall, 1965. 553 pp. £6. (1967) (1)
- Vortex Dynamics: Vortex momentum (1993) (1)
- An example of stability exchange in a Hamiltonian wave system (1986) (1)
- Two-dimensional problems in hydrodynamics and aerodynamics: by L. I. Sedov. Russian translation by Chu et al. 427 pages, diagrams, 6 × 9 in. New York, John Wiley & Sons, Inc., 1965. Price, $16.50 (1966) (1)
- Finite-Amplitude Interfacial Waves (1983) (1)
- Three Dimensional Stability and Bifurcation of Steady Water Waves (1985) (0)
- Interview with Philip G. Saffman (1999) (0)
- Analysis, scientific computing and fundamental studies in fluid mechanics (1991) (0)
- Three-dimensional vortex instability (1993) (0)
- ON THE FINAL STAGE OF DECAY OF A CURRENT BLOB IN A CONDUCTING FLUID IN A UNIFORM MAGNETIC FIELD (1961) (0)
- Analytical and numerical analysis of finite amplitude Rayleigh-Taylor instability (1987) (0)
- Vortex Dynamics: References (1993) (0)
- Vortex models on the fine scales of isotropic turbulence (1996) (0)
- Reply to the comments of M. S. Uberoi (1979) (0)
- Thermodynamics of Superflow in the Helium Film (1974) (0)
- Research in Nonlinear Water Waves (1990) (0)
- Effects of Long Waves on the Generation of Waves by Wind. (1997) (0)
- Dynamics of two-dimensional vortex patches (1993) (0)
- Motion with surfaces (1993) (0)
- Fundamental properties of vorticity (1993) (0)
- Two-Dimensional Problems in Hydrodynamics and Aerodynamics [Book Review] (1966) (0)
- Vortex Dynamics: Dynamics of vortex filaments (1993) (0)
- Vortex Dynamics: Creation of vorticity (1993) (0)
- Vortex Dynamics: Preface (1993) (0)
- Plasma Physics. By J. G. LINHART. Amsterdam: North Holland Publishing Co., 1960. 278 pp. 50s. (1960) (0)
- Lecture IV A phenomenonological theory for the computation of turbulent shear flows (1977) (0)
- Research in Non-Linear Water Waves (1991) (0)
- Effect of wind and water shear on wave instabilities (1993) (0)
- Dynamics of line vortices in two-dimensional flow (1993) (0)
- Singular distributions of vorticity (1993) (0)
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