Walter Alexander Strauss

Walter Alexander Strauss's AcademicInfluence.com Rankings

Mathematics

#2955

World Rank

#4451

Historical Rank

Measure Theory

#756

World Rank

#1014

Historical Rank

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Mathematics

Walter Alexander Strauss's Degrees

PhD Mathematics Princeton University

Why Is Walter Alexander Strauss Influential?

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According to Wikipedia, Walter Alexander Strauss is an American applied mathematician, specializing in partial differential equations and nonlinear waves. His research interests include partial differential equations, mathematical physics, stability theory, solitary waves, kinetic theory of plasmas, scattering theory, water waves, and dispersive waves.

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Walter Alexander Strauss'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

Existence of solitary waves in higher dimensions (1977) (1700)
Stability theory of solitary waves in the presence of symmetry, II☆ (1990) (1339)
Stability of peakons (2000) (899)
Semi-linear second-order elliptic equations in L 1 (1973) (498)
Nonlinear scattering theory at low energy (1981) (483)
Exact steady periodic water waves with vorticity (2004) (420)
Nonlinear Wave Equations (1990) (398)
Stability and instability of solitary waves of Korteweg-de Vries type (1987) (388)
Stability of the Camassa-Holm solitons (2002) (331)
Instability of nonlinear bound states (1985) (322)
Pressure beneath a Stokes wave (2009) (242)
Decay and scattering of solutions of a nonlinear relativistic wave equation (1972) (232)
Some non-linear evolution equations (1965) (213)
The Fourth Turning: An American Prophecy (1997) (209)
Decay and scattering of solutions of a nonlinear Schrödinger equation (1978) (207)
Singularity formation in a collisionless plasma could occur only at high velocities (1986) (206)
Partial Differential Equations: An Introduction (1992) (203)
Decay and asymptotics for □u = F(u)☆ (1968) (196)
Decay of solutions of the wave equation outside nontrapping obstacles (1977) (194)
Numerical solution of a nonlinear Klein-Gordon equation (1978) (192)
On continuity of functions with values in various Banach spaces (1966) (184)
Stability of a class of solitary waves in compressible elastic rods (2000) (182)
Nonlinear instability in an ideal fluid (1997) (173)
Instability of periodic BGK equilibria (1995) (164)
Global bifurcation of steady gravity water waves with critical layers (2014) (150)
Microlocal dispersive smoothing for the Schrödinger equation (1995) (149)
Nonlinear Scattering Theory (1974) (129)
Nonlinear invariant wave equations (1978) (124)
Absence of shocks in an initially dilute collisionless plasma (1987) (120)
Nonlinear scattering theory at low energy: Sequel☆ (1981) (116)
Instability of a class of dispersive solitary waves (1990) (112)
Asymptotic stability of the relativistic Maxwellian (1993) (112)
Nonlinear instability of double-humped equilibria (1995) (109)
Gain of regularity for equations of KdV type (1992) (107)
Periodic Traveling Gravity Water Waves with Discontinuous Vorticity (2011) (102)
Stability of Semiconductor States with Insulating and Contact Boundary Conditions (2006) (101)
Variational formulations for steady water waves with vorticity (2006) (101)
Dispersal of waves vanishing on the boundary of an exterior domain (1975) (86)
Effect of vorticity on steady water waves (2008) (86)
Large-amplitude steady rotational water waves (2008) (84)
Stability properties of steady water waves with vorticity (2007) (83)
Dispersion of low-energy waves for two conservative equations (1974) (78)
Asymptotic stability of the relativistic Maxwellian via fourteen moments (1995) (70)
Lp Estimates for the wave equation with a potential (1993) (70)
Global finite-energy solutions of the Maxwell-Schrödinger system (1995) (69)
Rotational steady water waves near stagnation (2007) (65)
An Inhomogeneous Boundary Value Problem for Nonlinear Schrödinger Equations (2001) (61)
Time decay for the nonlinear beam equation (2000) (50)
On the derivatives of the collision map of relativistic particles (1991) (45)
STABLE AND UNSTABLE IDEAL PLANE FLOWS (2002) (45)
Decay of classical Yang-Mills fields (1979) (45)
On a nonlinear scattering operator (1973) (44)
Instability of steady states for nonlinear wave and heat equations (2006) (44)
For a New Novel (1966) (44)
High velocity particles in a collisionless plasma (1987) (42)
Exact periodic traveling water waves with vorticity (2002) (42)
The energy method in nonlinear partial differential equations (1969) (41)
Scattering of waves by periodically moving bodies (1982) (41)
On a wave equation with a cubic convolution (1982) (41)
Steady water waves (2010) (39)
Existence and blow up of small amplitude nonlinear waves with a negative potential (1997) (38)
Descent and return : the Orphic theme in modern literature (1971) (34)
The Nonlinear Schrödinger Equation (1978) (33)
Decay of a Yang-Mills field coupled to a scalar field (1979) (33)
Mathematical aspects of classical nonlinear field equations (1979) (32)
Unstable BGK Solitary Waves and Collisionless Shocks (1998) (30)
Regular solutions of the Vlasov-Poisson-Fokker-Planck system (2000) (30)
Rapidly Rotating Stars (2018) (28)
Large velocities in the relativistic Vlasov-Maxwell equations (1989) (28)
Linear stability and instability of relativistic Vlasov‐Maxwell systems (2007) (27)
Everywhere Defined Wave Operators (1978) (26)
Nonlinear bound states outside an insulated sphere (1994) (26)
A sharp stability criterion for the Vlasov–Maxwell system (2007) (24)
Perturbation of essential spectra of evolution operators and the Vlasov-Poisson-Boltzmann system (1999) (24)
Global bifurcation theory for periodic traveling interfacial gravity-capillary waves (2014) (23)
Decay of the linearized Boltzmann-Vlasov system (1999) (23)
Numerical computational of the scattering frequencies for acoustic wave equations (1988) (21)
Global magnetic confinement for the 1.5D Vlasov-Maxwell system (2014) (21)
Steady States of Rotating Stars and Galaxies (2017) (20)
Unstable oscillatory-tail waves in collisionles plasmas (1999) (20)
Computation of exponentials in transient data (1989) (19)
Robustness of instability for the two-dimensional Euler equations (1999) (18)
On the scattering frequencies of time-dependent potentials (1986) (18)
Some global solutions of the Yang-Mills equations in Minkowski space (1981) (18)
Bound on the Slope of Steady Water Waves with Favorable Vorticity (2015) (17)
The existence of the scattering operator for moving obstacles (1979) (17)
Nonlinear stability and instability of relativistic Vlasov‐Maxwell systems (2007) (16)
Traveling water waves — the ebb and flow of two centuries (2021) (16)
Approach to Equilibrium of a Body Colliding Specularly and Diffusely with a Sea of Particles (2013) (15)
Magnetically created instability in a collisionless plasma (2000) (15)
Breathers as homoclinic geometric wave maps (1996) (14)
Dante's Belacqua and Beckett's Tramps (1959) (14)
Linear Stability Analysis of a Hot Plasma in a Solid Torus (2013) (13)
The Initial Boundary Problem for the Maxwell Equations in the Presence of a Moving Body (1985) (13)
Boulez and the modern concept (1987) (13)
Existence of localized solutions for certain model field theories (1981) (12)
Scattering for hyperbolic equations (1963) (12)
INSTABILITY OF TRAVELING WAVES OF THE KURAMOTO-SIVASHINSKY EQUATION (2002) (12)
Analyticity properties of the scattering operator in nonlinear relativistic classical and prequantized field theories (1979) (11)
Proof of Modulational Instability of Stokes Waves in Deep Water (2020) (11)
Large-Amplitude Steady Downstream Water Waves (2018) (11)
Scattering for non-linear wave equations. (1963) (11)
Infinite Gain of Regularity for Dispersive Evolution Equations (1991) (9)
The scattering of certain Yang-Mills fields (1983) (9)
Analyticity of the nonlinear scattering operator (2009) (9)
Stability Analysis of Collisionless Plasmas with Specularly Reflecting Boundary (2011) (9)
Stability of Solitary Waves (1990) (9)
Trochoidal Solutions to the Incompressible Two-Dimensional Euler Equations (2010) (8)
Relativistic Unstable Periodic BGK Waves (1999) (8)
The leading singularity of a wave reflected by a moving boundary (1984) (8)
Velocity Reversal Criterion of a Body Immersed in a Sea of Particles (2014) (7)
Erratum to: Global magnetic confinement for the 1.5D Vlasov-Maxwell system (2015) (6)
Proust and literature : the novelist as critic (1957) (6)
Existence of rotating magnetic stars (2019) (6)
Stationary Solutions of the Vlasov–Poisson System with Diffusive Boundary Conditions (2015) (6)
Upper bound on the slope of steady water waves with small adverse vorticity (2018) (5)
On the solutions of abstract nonlinear equations (1967) (5)
A correction to: Decay of solutions of the wave equation outside nontrapping obstacles (1978) (5)
Rapidly rotating white dwarfs (2020) (5)
Time decay estimates for a perturbed wave equation (1991) (4)
Transport of interfaces with surface tension by 2D viscous flows (2010) (4)
Asymptotics of a nonlinear relativistic wave equation (1971) (4)
Frontiers in mathematical analysis and numerical methods (2004) (3)
Time-periodic scattering of symmetric hyperbolic systems (1987) (3)
Albert Camus' Caligula: Ancient Sources and Modern Parallels (1951) (2)
Propagation of the Energy of Yang-Mills Fields (1980) (2)
The Relativistic Boltzmann Equation Near Equilibrium (1994) (2)
The Initial-Value Problem for Certain Non-Linear Evolution Equations (1967) (2)
Convergence to Equilibrium of a Body Moving in a Kinetic Sea (2015) (2)
Local exponential decay of a group of conservative nonlinear operators (1970) (2)
Imaginary poles of radical potentials (1987) (2)
Siren-Language: Kafka and Blanchot (1976) (1)
Jean Cocteau, the mask of Orpheus and Narcissus (1997) (1)
The architecture and music of thinking: Proust and the Stones of Combray (1995) (1)
Large amplitude stationary solutions of the Morrow model of gas ionization (2019) (1)
The Merchant of Venom? T. S.Eliot and Anti-Semitism (1997) (1)
On the Threshold of a New Kabbalah: Kafka's Later Tales (1988) (1)
Application of wave packet transform to Schrodinger equations (Harmonic Analysis and Nonlinear Partial Differential Equations) (2018) (1)
Albert Camus, Stone-Mason (1962) (1)
THE WHEREWITHAL OF WITCHES (1983) (1)
Rapidly Rotating Stars (2019) (1)
Conformal invariance and energy estimates (1977) (1)
Vorticity jumps in steady water waves (2012) (1)
Disjecta membra: Essays in Fragmentation: Samuel Beckett and Jasper Johns (2016) (1)
Global continuation of a Vlasov model of rotating galaxies (2022) (1)
Critical Care of the Lung (2015) (0)
The Undefinable Jew@@@Le Juif imaginaire@@@L'Avenir d'une negation. Reflexions sur la question du genocide (1986) (0)
Toward a Third Testament: Michel Tournier's Attempt to Re-Appropriate the Sacred (1989) (0)
Tutorial : Notes on Nonlinear Stability (2012) (0)
Existence of Rotating Stars with Variable Entropy (2021) (0)
Book Review: Global classical solutions for nonlinear evolution equations (1993) (0)
Review: H. Baumgärtel and M. Wollenberg, Mathematical scattering theory (1985) (0)
NONLINEAR INSTABILITY OF DISPERSIVE WAVES (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics) (2001) (0)
Periodic Water Waves with Vorticity (2003) (0)
The Fictions of Surrealism (1996) (0)
Bound on the Slope of Steady Water Waves with Favorable Vorticity (2016) (0)
V. Rilke: Orpheus and the Double Realm (1971) (0)
Book Review: Mathematical scattering theory (1985) (0)
VI. After Rilke: Orpheus, Paradigm or Paradox? (1971) (0)
III. The Seasoning of Hell: Nerval (1971) (0)
Yang-Mills Equations (1990) (0)
Critic and Creator (1959) (0)
Steady states of gas ionization with secondary emission (2020) (0)
Special Issue Progress in wave-current interactions: vorticity effects in nonlinear water waves Introduction (2009) (0)
Allusion. A Literary Graft (review) (2011) (0)
Magnetic Instability in a Collisionless Plasma (2004) (0)
Linear Stability Analysis of a Hot Plasma in a Solid Torus (2013) (0)
Drugs for the Respiratory System (2015) (0)
Approach to Equilibrium of a Body Colliding Specularly and Diffusely with a Sea of Particles (2013) (0)
A kinetic model of rotating galaxies (2023) (0)
Solutions manual for partial differential equations : an introduction second editon (2008) (0)
Samuel Beckett and Music (review) (2000) (0)
An application of L p estimates to scattering theory (1983) (0)
IV. Proust and His Contemporaries (1957) (0)
Nonlinear wave equations : A Conference in Honor of Walter A. Strauss on the Occasion of His Sixtieth Birthday May 2-3, 1998 Brown University (2000) (0)
Solutions of Small Amplitude (1990) (0)
III. Proust as a Critic of the Nineteenth Century (1957) (0)
ON THE SOLUTIONS OF ABSTRACT NONLINEAR EQUATIONS1 (2010) (0)
Dynamical Systems and Nonlinear Partial Differential Equations (1993) (0)
Erratum to “Steady Water Waves” (2011) (0)
Title pages for Harvard Library Bulletin, Volume VII.2 (1948) (0)
Continua of steadily rotating stars (2022) (0)
Wandering and Home: Beckett's Metaphysical Narrative@@@Arts of Impoverishment: Beckett, Rothko, Resnais (1997) (0)
Irving Segal's Work in Partial Differential Equations (2002) (0)
Vlasov-Maxwell Equations (1990) (0)
Stationary Solutions of the Vlasov–Poisson System with Diffusive Boundary Conditions (2015) (0)
Velocity Reversal Criterion of a Body Immersed in a Sea of Particles (2015) (0)
Book Review: Invariant manifolds and dispersive Hamiltonian evolution equations (2012) (0)
Dynamical Systems & Nonlinear Partial Differential Equations. (1996) (0)
Smoothing of dispersive waves (1993) (0)
II. Proust and the Seventeenth Century (1957) (0)
ROBUSTNESS OF INSTABILITY FOR THE TWO-DIMENSIONAL (1999) (0)
I. Introduction: The Metamorphosis of Orpheus (1971) (0)
IV. Mallarmé: Orpheus and the Néant (1971) (0)

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Walter Alexander Strauss's Academic­Influence.com Rankings