Stuart S. Antman | Academic Influence

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Stuart S. Antman

Mathematics

#2216

World Rank

#3460

Historical Rank

#885

USA Rank

Measure Theory

#1372

World Rank

#1722

Historical Rank

#478

USA Rank

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Mathematics

Stuart S. Antman's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Stuart S. Antman Influential?

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According to Wikipedia, Stuart Sheldon Antman is an American mathematician. He is Distinguished University Research Professor at the University of Maryland. His research involves continuum mechanics, elasticity, and nonlinear partial differential equations.

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Stuart S. Antman'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

Nonlinear problems of elasticity (1994) (2028)
The Theory of Rods (1973) (306)
Bifurcation theory and nonlinear eigenvalue problems, 1967 (1968) (180)
Kirchhoff’s problem for nonlinearly elastic rods (1974) (165)
Ordinary differential equations of non-linear elasticity I: Foundations of the theories of non-linearly elastic rods and shells (1976) (137)
The Equations for Large Vibrations of Strings (1980) (107)
Material constraints, lagrange multipliers, and compatibility. Applications to rod and shell theories (1991) (85)
Large buckled states of nonlinearly elastic rods under torsion, thrust, and gravity (1981) (82)
The principle of virtual work and integral laws of motion (1979) (78)
Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems (1981) (74)
The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies (1987) (70)
Metastability and incompletely posed problems (1987) (62)
Nonuniqueness of equilibrium states for bars in tension (1973) (61)
Ordinary differential equations of non-linear elasticity II: Existence and regularity theory for conservative boundary value problems (1976) (57)
Global Behavior of Buckled States of Nonlinearly Elastic Rods (1978) (54)
Dynamical theory of hyperelastic rods (1966) (53)
Shear and necking instabilities in nonlinear elasticity (1977) (53)
The influence of elasticity on analysis: Modern developments (1983) (50)
Physically unacceptable viscous stresses (1998) (48)
Quasilinear Hyperbolic–Parabolic Equations of One-Dimensional Viscoelasticity (1996) (47)
5.—Qualitative Aspects of the Spatial Deformation of Non-linearly Elastic Rods. (1975) (46)
The ambiguous twist of Love (1982) (43)
General solutions for plane extensible elasticae having nonlinear stress-strain laws (1968) (43)
Regular and singular problems for large elastic deformations of tubes, wedges, and cylinders (1983) (42)
Travelling waves in hyperelastic rods (1979) (39)
The eversion of thick spherical shells (1979) (37)
Addendum: Existence and Nonuniqueness of Axisymmetric Equilibrium States of Nonlinearly Elastic Shells (1971) (33)
Forced Radial Motions of Nonlinearly Viscoelastic Shells (2009) (33)
II – Qualitative Theory of the Ordinary Differential Equations of Nonlinear Elasticity (1974) (32)
Multiple Equilibrium States of Nonlinearly Elastic Strings (1979) (31)
Buckled states of nonlinearly elastic plates (1978) (30)
Existence of Solutions of the Equilibrium Equations for Nonlinearly Elastic Rings and Arches (1970) (27)
The Parabolic-Hyperbolic System Governing the Spatial Motion of Nonlinearly Viscoelastic Rods (2005) (27)
Dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods (1996) (25)
The ripening and storage quality of nectarine fruits in response to preharvest application of gibberellic acid (1997) (24)
Large buckled states of rotating rods (1980) (24)
Parametric instabilities of the radial motions of non-linearly viscoelastic shells under pulsating pressures (2012) (23)
The intricate global structure of buckled states of compressible columns (1990) (22)
Large thermal buckling of nonuniform beams and plates (1984) (22)
INCOMPRESSIBILITY IN ROD AND SHELL THEORIES (1999) (21)
The shape of buckled nonlinearly elastic rings (1970) (21)
Large shearing oscillations of incompressible nonlinearly elastic bodies (1984) (20)
Slumping instabilities of elastic membranes holding liquids and gases (2005) (19)
Microflows and Nanoflows (2005) (19)
FUNDAMENTAL MATHEMATICAL PROBLEMS IN THE THEORY OF NONLINEAR ELASTICITY (1976) (19)
The complicated dynamics of heavy rigid bodies attached to deformable rods (1998) (18)
Flexural vibrations of nonlinearly elastic circular rings (2015) (18)
The large deformation of nonlinearly elastic tubes in two-dimensional flows (1991) (17)
Invariant Dissipative Mechanisms for the Spatial Motion of Rods Suggested by Artificial Viscosity (2003) (16)
Global properties of buckled states of plates that can suffer thickness changes (1990) (16)
Qualitative behavior of buckled nonlinearly elastic arches (1980) (16)
New phenomena in the buckling of arches described by refined theories (1993) (15)
The paradoxical asymptotic status of massless springs (1987) (15)
Large lateral buckling of nonlinearly elastic beams (1984) (15)
Monotonicity and Invertibility Conditions in One-Dimensional Nonlinear Elasticity (1973) (15)
The Simple Pendulum is not so Simple (1998) (14)
The Critical Role of the Base Curve for the Qualitative Behavior of Shearable Rods (2003) (14)
A Family of Semi-Inverse Problems of Nonlinear Elasticity (1978) (14)
Travelling waves in nonlinearly viscoelastic media and shock structure in elastic media (1988) (14)
The shirink-fit problem for aeolotropic nonlinearly elastic bodies (1994) (14)
Parametric resonances of nonlinearly viscoelastic rings subject to a pulsating pressure (2007) (13)
Simple Fluids in Nanochannels (2005) (13)
A note on a paper of Tadjbakhsh and Odeh (1968) (13)
Singular global bifurcation problems for the buckling of anisotropic plates (1990) (13)
Stability and Hopf Bifurcation for Fully Nonlinear Parabolic-Hyperbolic Equations (2000) (13)
Peculiar instabilities due to the clamping of shearable rods (1997) (13)
The motion of a particle on a light viscoelastic bar: asymptotic analysis of its quasilinear parabolic-hyperbolic equation (2002) (12)
Equilibrium states of nonlinearly elastic rods (1968) (11)
Transcritical buckling of columns (1992) (11)
Qualitative properties of large buckled states of spherical shells (1986) (11)
Global attractors for degenerate partial differential equations from nonlinear viscoelasticity (2001) (11)
The drawing and whirling of strings: singular global multiparameter bifurcation problems (1987) (11)
Linear theories of elasticity and thermoelasticity ; Linear and nonlinear theories of rods, plates, and shells (1984) (10)
Asymptotic shapes of inflated noncircular elastic rings (1985) (10)
The asymptotic problem for the springlike motion of a heavy piston in a viscous gas (2007) (10)
Nonlinear eigenvalue problems for the whirling of heavy elastic strings (1980) (10)
Governing Equations and Slip Models (2005) (9)
WHAT IS A PARAMETRIC EXCITATION IN STRUCTURAL DYNAMICS (2008) (9)
Steady-state problems of nonlinear electro-magneto-thermo-elasticity (1986) (8)
Breathing Oscillations of Rotating Nonlinearly Elastic and Viscoelastic Rings (2001) (8)
Existence and nonuniqueness of axisymmetric equilibrium states of nonlinearly elastic shells (1971) (8)
Radially Symmetric Steady States of Nonlinearly Elastic Plates and Shells (2016) (8)
Asymptotic Analysis of the Eversion of Nonlinearly Elastic Shells (1998) (8)
Corrections and Additions: Global Behavior of Buckled States of Nonlinearly Elastic Rods (1980) (8)
Analysis and Continuum Mechanics: A Collection of Papers Dedicated to J. Serrin on His Sixtieth Birthday (1989) (7)
Convergence properties of hierarchies of dynamical theories of rods and shells (1997) (7)
Dynamic Stability of Circular Rods (1965) (7)
The Special Cosserat Theory of Rods (1995) (7)
Relaxation Oscillations In A Class Of Predator-prey Systems (2015) (7)
Design of Material Properties That Yield a Prescribed Global Buckling Response (1987) (6)
Asymptotic Analysis of the Eversion of Nonlinearly Elastic Shells II. Incompressible Shells (2001) (6)
Global attractors for quasilinear parabolic-hyperbolic equations governing longitudinal motions of nonlinearly viscoelastic rods (2015) (6)
Self-Sustained Oscillations of Nonlinearly Viscoelastic Layers (2000) (6)
The large deformation of nonlinearly elastic shells in axisymmetric flows (1992) (6)
Synthesis of Nonlinear Constitutive Functions, Applications to the Electromagnetic Control of Snapping (1999) (6)
Angular Velocity and Moment Potential for a Right Body (James G. Simmonds) (1972) (6)
The asymptotics of heavily burdened viscoelastic rods (2012) (5)
Analysis and Continuum Mechanics (1989) (5)
Nonlinear, Nonlocal Problems of Fluid-Solid Interactions (1993) (5)
Rotational symmetry vs. axisymmetry in shell theory (2010) (4)
Optimal control of a nonlinearly viscoelastic rod (2001) (4)
Basic Concepts and Technologies (2005) (4)
Radially Symmetric Motions of Nonlinearly Viscoelastic Bodies Under Live Loads (2017) (4)
Geometrical and Analytical Questions In Nonlinear Elasticity (1984) (3)
A non-self-adjoint quadratic eigenvalue problem describing a fluid-solid interaction Part I : formulation, analysis, and computations (2008) (3)
Cavitational flow past a nonlinearly elastic panel (1990) (3)
Coercivity Conditions in Nonlinear Elasticity (1983) (3)
The Tragicomical History of Thermodynamics 1822–1854. By C. Truesdell (1983) (3)
Asymptotic shapes of inflated spheroidal nonlinearly elastic shells (1985) (3)
A zero-dimensional shock (1988) (3)
Continuation methods in nonlinear elasticity (1996) (3)
Blowup of solutions for the planar motions of rotating nonlinearly elastic rods (2017) (3)
Coexistent phases in nonlinear thermoelasticity: Radially symmetric equilibrium states of aeolotropic bodies (1995) (3)
Anisotropy Consistent with Spherical Symmetry in Continuum Mechanics (2001) (3)
Feedback Linearization and Semilinearization for Smart Elastic Structures (2000) (2)
Multiple Equilibria of Elastic Strings under Central Forces: Highly Singular Nonlinear Boundary Value Problems of the Bernoullis (1983) (2)
Nonlinear Continuum Physics (2001) (2)
Nonlinear Flexural Vibrations of Unshearable Elastic Rings (2013) (2)
Regularity properties of planar motions of incompressible rods (2003) (2)
Pressure-Driven Flows (2005) (2)
Extensions of monotone mappings (1996) (2)
The Many Roles of Viscosity in Solid Mechanics (2000) (2)
Shear-Driven Flows (2005) (2)
Review: J. Carr, Applications of centre manifold theory, and B. D. Hassard and N. D. Kazarinoff and Y.-H. Wan, Theory and applications of Hopf bifurcation, and Gerard Iooss and Daniel D. Joseph, Elementary stability and bifurcation theory (1983) (2)
Numerical Methods for Continuum Simulation (2005) (2)
The quasilinear wave equation for antiplane shearing of nonlinearly elastic bodies (2001) (2)
Geometric aspects of global bifurcation in nonlinear elasticity (1980) (2)
A PRIORI BOUNDS ON SPATIAL MOTIONS OF INCOMPRESSIBLE NONLINEARLY ELASTIC RODS (2006) (1)
An Introduction to Continuum Mechanics (Morton E. Gurtin) (1983) (1)
Electroosmotic Flow in Nanochannels (2005) (1)
Basic Themes and Pretty Problems of Nonlinear Solid Mechanics (2007) (1)
A Convergence of Lives--Sophia Kovalevskaia: Scientist, Writer, Revolutionary. (1986) (1)
Asymptotics and Attractors for Quasilinear Parabolic-Hyperbolic Systems Governing the Motions of Heavily Burdened Deformable Bodies (2016) (1)
Bifurcation problems associated with nonlinear wave propagation (1985) (1)
Nonlinear eigenvalue problems for the whirling of heavy elastic strings, II: new methods of global bifurcation theory (1983) (1)
Bifurcation Problems in Nonlinear Elasticity (R. W. Dickey) (1978) (1)
Water in Nanochannels (2005) (1)
Metastability and incompletely posed problems (Minneapolis Minn., 1985) (1987) (1)
Mixers and Chaotic Advection (2005) (1)
Static and dynamic bifurcations in magnetoelastic ribbons (abstract) (1987) (1)
Mechanics: From Newton's Laws to Deterministic Chaos (Florian Scheck) (1992) (1)
The Equations of Motion for Extensible Strings (1995) (1)
Introduction to Partial Differential Equations and Hilbert Space Methods (Karl E. Gustafson) (1982) (1)
Reduced-Order Modeling (2005) (0)
Convergence of Lives—Sophia Kovalevskaia: Scientist, Writer, Revolutionary. By Ann Hibner Koblitz (1986) (0)
Introduction to Bifurcation Theory and its Applications to Elasticity (1995) (0)
Appendix. Topics in Linear Analysis (1995) (0)
Planar Travelling Waves in Incompressible Elastic Rods (2004) (0)
General Theories of Rods and Shells (1995) (0)
Radially Symmetric Steady States of Nonlinearly Elastic Plates and Shells (2016) (0)
ANNOTATED BIBLIOGRAPHY ON ELASTIC WAVES (1963) (0)
REDUCING LABOR COSTS OF HAND THINNING FOR 'AKKO 1' USING AN ORGANOSILICONE SURFACTANT (2015) (0)
Three-Dimensional Continuum Mechanics (1995) (0)
The Equations for Large Vibrations of Strings Author ( s ) : (2010) (0)
Surface Tension-Driven Flows (2005) (0)
Appendix. Degree Theory (1995) (0)
Forced sloshing of inviscid fluids (1970) (0)
Bulletin ( New Series ) of the American Mathematical Society (1996) (0)
Continuum mechanics versus the mathematical analysis of its differential equations: In Memoriam Tony Spencer (2022) (0)
Asymptotics and Attractors for Quasilinear Parabolic-Hyperbolic Systems Governing the Motions of Heavily Burdened Deformable Bodies (2015) (0)
Rotationally Symmetric Motions and Their Blowup for Incompressible Nonlinearly Elastic and Viscoelastic Annuli (2019) (0)
QUASILINEAR HYPERBOLIC { PARABOLIC EQUATIONSOF ONE { DIMENSIONAL VISCOELASTICITYSTUART (1996) (0)
Quasilinear Equations for Viscoelasticity of Strain-Rate Type Brian Tvedt (0)
Thermal Effects in Microscales (2005) (0)
Book review (1986) (0)
The Shuddering Pendulum (2011) (0)
Multiscale Modeling of Gas Flows (2005) (0)
Global Bifurcation Problems for Strings and Rods (1995) (0)
Functional Fluids and Functionalized Nanotubes (2005) (0)
J.L. Ericksen’s Work on Cosserat Theories of Rods and Shells (2022) (0)
Flexural vibrations of nonlinearly elastic circular rings (2014) (0)
Dynamics of Multibody Systems (R. E. Roberson and R. Schwertassek) (1990) (0)
Rotationally Symmetric Motions and Their Blowup for Incompressible Nonlinearly Elastic and Viscoelastic Annuli (2019) (0)
Reduced-Order Simulation (2005) (0)
Appendix. Local Nonlinear Analysis (1995) (0)
Proceedings of the Brown University Conference on Nonlinear Wave Equations in Honor of Walter A. Strauss on His 70th Birthday : May 8 - 11, 2008 (2010) (0)
Radially Symmetric Motions of Nonlinearly Viscoelastic Bodies Under Live Loads (2017) (0)
Elementary Problems for Elastic Strings (1995) (0)
Axisymmetric Equilibria of Cosserat Shells (1995) (0)
Steady Bifurcating Solutions of the Couette–Taylor Problem for Flow in a Deformable Cylinder (2014) (0)
Local Bifurcation and Symmetry (A. Vanderbauwhede) (1986) (0)
Conference on Hyperbolic Conservation Laws and Continuum Mechanics (2011) (0)
Transcritical buckinjg of columns (1994) (0)
On parametric instabilities in nonlinear structural dynamics (2007) (0)
Increasing productivity and yields in nectarine orchard by tuff filled trenches - Shomera 98/99. (2000) (0)
Steady Bifurcating Solutions of the Couette–Taylor Problem for Flow in a Deformable Cylinder (2015) (0)
Prototype Applications of Gas Flows (2005) (0)
Book Review: Applications of centre manifold theory (1983) (0)
Multiscale Modeling of Liquid Flows (2005) (0)
Planar Equilibrium Problems for Elastic Rods (1995) (0)
Corrigendum — Corrections to: Asymptotic Analysis of the Eversion of Nonlinearly Elastic Shells (1998) (0)
Local invertibility conditions for geometrically exact nonlinear rod and shell theories (1976) (0)
Spatial Problems for Cosserat Rods (1995) (0)
Weighted Energy Methods in Fluid Dynamics and Elasticity (Giovanni P. Galdi and Salvatore Rionero) (1987) (0)

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