Joel Smoller | Academic Influence

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Joel Smoller

Mathematics

#2351

World Rank

#3653

Historical Rank

#935

USA Rank

Measure Theory

#947

World Rank

#1234

Historical Rank

#354

USA Rank

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Mathematics

Joel Smoller's Degrees

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

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Why Is Joel Smoller Influential?

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According to Wikipedia, Joel Alan Smoller was an American mathematician. Joel Smoller was born in Brooklyn on 2 January 1936 to parents Benjamin, a taxicab driver, and Olga, who died when he was young. Smoller attended New York University, and completed his doctoral work at Purdue University in 1963, after which he taught at the University of Michigan. In 1970, he was appointed a full professor, and assumed the Lamberto Cesari Collegiate Professorship of Mathematics in 1998. He was editor of Transactions of the American Mathematical Society from 1981 to 1985, and later the Journal for Applicable Analysis. Smoller was award a Guggenheim Fellowship in 1979, the George David Birkhoff Prize in 2009, and elected to fellowship of the American Mathematical Society in 2013, a member of its inaugural class of fellows. Smoller retired in June 2017, and died, aged 81, on 27 September 2017. Following his death, the Joel Smoller Graduate Fellowship was established.

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Joel Smoller'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

Shock Waves and Reaction-Diffusion Equations (1983) (4169)
LARGE TIME BEHAVIOR OF SOLUTIONS OF SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS* (1978) (294)
Global Bifurcation of Steady-State Solutions (1981) (262)
Global solutions of the relativistic Euler equations (1993) (194)
Solutions in the large for some nonlinear hyperbolic conservation laws (1973) (175)
Smooth static solutions of the Einstein/Yang-Mills equations (1991) (133)
Decay of Solutions of the Wave Equation in the Kerr Geometry (2005) (129)
Qualitative theory of the FitzHugh-Nagumo equations (1978) (126)
On the vacuum state for the isentropic gas dynamics equations (1980) (113)
Advances in the Theory of Shock Waves (2001) (105)
Global analysis of a system of predator-prey equations (1986) (102)
Non-Formation of Vacuum States for Compressible Navier–Stokes Equations (2001) (102)
Shock Waves and Reaction-Diffusion Equations. (1986) (95)
Existence of black hole solutions for the Einstein-Yang/Mills equations (1993) (93)
The Conley Index (1983) (93)
Bifurcation and symmetry-breaking (1990) (91)
Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations (1993) (85)
Existence and Non-linear Stability of Rotating Star Solutions of the Compressible Euler–Poisson Equations (2007) (82)
The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry (2000) (81)
Solutions in the large for certain nonlinear parabolic systems (1985) (80)
Particlelike solutions of the Einstein-Dirac equations (1998) (78)
On the Structure of Magnetohydrodynamic Shock Waves. (1974) (74)
Diffusion and the Predator-Prey Interaction (1977) (72)
Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background (1998) (72)
Shock-wave solutions of the einstein equations: The Oppenheimer-Snyder model of gravitational collapse extended to the case of non-zero pressure (1994) (72)
Viscosity matrices for two-dimensional nonlinear hyperbolic systems (1970) (72)
Shock-wave cosmology inside a black hole (2002) (64)
Mixed Problems for Nonlinear Conservation Laws (1977) (62)
Nonexistence of time‐periodic solutions of the Dirac equation in an axisymmetric black hole geometry (1999) (60)
Decay Rates and Probability Estimates¶for Massive Dirac Particles¶in the Kerr–Newman Black Hole Geometry (2001) (58)
A comparison technique for systems of reaction-diffusion equations (1977) (57)
Rotating Fluids with Self-Gravitation in Bounded Domains (2004) (57)
Existence of positive solutions for semilinear elliptic equations in general domains (1987) (54)
Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions (1986) (52)
Symmetry-breaking for positive solutions of semilinear elliptic equations (1986) (52)
Shock waves as limits of progressive wave solutions of higher order equations, II (1971) (50)
Nonlinear Dynamical Stability of Newtonian Rotating and Non-rotating White Dwarfs and Rotating Supermassive Stars (2007) (47)
Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations (1998) (47)
Blowup of Smooth Solutions for Relativistic Euler Equations (2005) (47)
Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations (1984) (47)
The Existence of Periodic Travelling Waves for Singularly Perturbed Predator-Prey Equations via the Conley Index (1983) (45)
The Existence of Periodic Travelling Waves for Singularly Perturbed Predator-Prey Equations via the Conley Index (1983) (45)
Non-Existence of Black Hole Solutions¶for a Spherically Symmetric, Static Einstein–Dirac–Maxwell System (1998) (41)
Regular solutions of the Einstein–Yang–Mills equations (1995) (38)
Stability and bifurcation of steady-state solutions for predator-prey equations (1982) (38)
Global existence for systems of parabolic conservation laws in several space variables (1987) (37)
On the existence of radial solutions of quasilinear elliptic equations (1990) (33)
An Integral Spectral Representation of the Propagator for the Wave Equation in the Kerr Geometry (2003) (30)
Cosmology with a Shock-Wave (1998) (29)
NON-DEGENERATE SOLUTIONS OF BOUNDARY-VALUE PROBLEMS (1980) (29)
On the Oppenheimer‐Volkoff Equations in General Relativity (1998) (28)
Existence of Magnetic Compressible Fluid Stars (2014) (28)
Erratum: Decay of solutions of the wave equation in the kerr geometry (Communications in Mathematical Physics (2006) 264 (465-503 ) doi:10.1007/s00220-006-1525-8) (2008) (27)
Generic Bifurcation of Steady-State Solutions (1984) (27)
Linear Stability of the Non-Extreme Kerr Black Hole (2016) (24)
Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry (2006) (24)
Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables (2010) (23)
Linear waves in the Kerr geometry: A mathematical voyage to black hole physics (2008) (23)
A uniqueness theorem for Riemann problems (1969) (23)
Shock Wave Interactions in General Relativity (2007) (22)
Cosmology, Black Holes and Shock Waves Beyond the Hubble Length (2003) (22)
An existence theorem for positive solutions of semilinear elliptic equations (1986) (22)
Reissner–Nordström-like solutions of the SU(2) Einstein–Yang/Mills equations (1997) (21)
Conformal metrics with prescribed Gaussian curvature on S2 (1993) (21)
Topological techniques in reaction-diffusion equations (1980) (21)
The interaction of Dirac particles with non-abelian gauge fields and gravity – bound states (2000) (21)
Stable equilibria with variable diffusion (1982) (20)
An investigation of the limiting behavior of particle-like solutions to the Einstein-Yang/Mills equations and a new black hole solution (1994) (20)
General Relativistic Shock Waves that Extend the Oppenheimer-Snyder Model (1997) (19)
Geometrical optics and the corner problem (1974) (19)
Expanding wave solutions of the Einstein equations that induce an anomalous acceleration into the Standard Model of Cosmology (2009) (18)
The interaction of Dirac particles with non-abelian gauge fields and gravity---black holes. (1999) (17)
A Time Independent Energy Estimate for Outgoing Scalar Waves in the Kerr Geometry (2007) (17)
Extendability of Solutions of the Einstein–Yang/Mills Equations (1997) (17)
Solutions of the Oppenheimer--Volkoff Equations Inside 9/8$^{ths}$ of the Schwarzschild Radius (1997) (16)
Shock-Wave Solutions in Closed Form and the Oppenheimer-Snyder Limit in General Reality (1998) (16)
Algebraic and Topological Invariants for Reaction-Diffusion Equations (1983) (15)
Error bounds for Glimm difference approximations for scalar conservation laws (1985) (15)
A class of convergent finite difference schemes for certain nonlinear parabolic systems (1983) (15)
The Coupling of Gravity to Spin and Electromagnetism (1999) (15)
Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells (2000) (15)
Elementary interactions in quasi-linear hyperbolic systems (1970) (14)
Shock waves near the Schwarzschild radius and stability limits for stars (1997) (14)
Instability of rarefaction shocks in systems of conservation laws (1990) (13)
Bifurcation and Stability of Stationary Solutions of the Fitz-Hugh-Nagumo Equations (1986) (13)
Error bounds for finite-difference approximations for a class of nonlinear parabolic systems (1985) (13)
Singular perturbations of Cauchy's problem (1965) (13)
Singular perturbations and a theorem of Kisyński (1965) (12)
On the monotonicity of the time-map (1989) (11)
Shock Wave Solutions of the Einstein Equations: A General Theory with Examples (2001) (11)
General Relativistic Self-Similar Waves That Induce an Anomalous Acceleration into the Standard Model of Cosmology (2010) (11)
Viscosity Matrices for Two-Dimensional Non-Linear Hyperbolic Systems, II (1972) (11)
Contact discontinuities in quasi‐linear hyperbolic systems (1970) (11)
Limiting masses of solutions of the Einstein-Yang/Mills equations (1994) (11)
Uniqueness of zero surface gravity SU(2) Einstein-Yang/ Mills black holes (1996) (10)
Remarks on the Stability of Steady-State Solutions of Reaction-Diffusion Equations (1980) (10)
Uniqueness and stability theorem for the generalized solution of the initial-value problem for a class of quasi-linear equations in several space variables (1967) (10)
The existence of heteroclinic orbits, and applications (1975) (10)
EINSTEIN/YANG-MILLS EQUATIONS* (1993) (9)
Isolated invariant sets of parameterized systems of differential equations (1978) (9)
Asymptotic Behavior of Massless Dirac Waves in Schwarzschild Geometry (2011) (8)
Global solutions of hyperbolic systems of conservation laws in two dependent variables (1968) (7)
Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking (1990) (7)
A Spectral Representation for Spin-Weighted Spheroidal Wave Operators with Complex Aspherical Parameter (2015) (7)
Absence of zeros and asymptotic error estimates for airy and parabolic cylinder functions (2012) (6)
Error Estimates for Approximate Solutions of the Riccati Equation with Real or Complex Potentials (2008) (6)
Decay of Solutions of the Wave Equation in the Kerr Geometry (2008) (6)
Systems of Reaction—Diffusion Equations (1983) (6)
Remarks on traveling wave solutions of non-linear diffusion equations (1976) (6)
Global Solutions for Certain Systems of Quasi-Linear Hyperbolic Equations (1967) (6)
Wave front sets and the viscosity method (1973) (5)
Bifurcation from Symmetry (1988) (5)
Linear stability of the Schwarzschild black hole under electromagnetic and gravitational perturbations (2006) (5)
Shocks violating Lax’s condition are unstable (1973) (5)
Applications to Gas Dynamics (1983) (4)
Non-Existence of Black Hole Solutions to Static, Spherically Symmetric Einstein-Dirac Systems - a Critical Discussion (2002) (4)
Shock Wave Interactions in General Relativity: A Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes (2006) (4)
Dispersion and shock-wave structure (1982) (4)
An instability of the standard model of cosmology creates the anomalous acceleration without dark energy (2017) (4)
Corrections to the standard model of cosmology (2013) (4)
Refined error estimates for the Riccati equation with applications to the angular Teukolsky equation (2013) (4)
Nonlinear partial differential equations (1983) (4)
Discontinuous Solutions of Conservation Laws (1983) (4)
Linear Stability of Rotating Black Holes: Outline of the Proof (2016) (3)
Some recent progress in classical general relativity (2000) (3)
Global solutions of certain hyperbolic systems of quasi-linear equations (1967) (3)
Cosmology with a ShockWave (2000) (3)
Symmetry-breaking for semilinear elliptic equations (1985) (3)
Answers to Questions Posed by Reporters: Temple-Smoller GR Expanding Waves (2010) (3)
The Interaction of Gravity with Other Fields (2002) (2)
An investigation of the limiting behavior of particle-like solutions to the Einstein-Yang/Mills equations and a new black hole solution (1995) (2)
Chapter 11 Solving the Einstein Equations by Lipschitz Continuous Metrics: Shock Waves in General Relativity (2003) (2)
Second-Order Linear Parabolic Equations (1983) (2)
On The Euler-Poisson Equations of Self-Gravitating Compressible Fluids (2011) (2)
Phragmen–lindelöf principle for weak subsolutions and cooperative reaction–diffusion systems (1994) (2)
Applications of Shock-Waves in General Relativity (1999) (2)
The One-Dimensional Wave Equation (1983) (1)
An Instability of the Standard Model Creates the Anomalous Acceleration Without Dark Energy (2014) (1)
The Complete Solution Space for a System of Reaction-Diffusion Equations (1984) (1)
The M.H.D. version of a theorem of H. Weyl (1974) (1)
An alternative proposal for the anomalous acceleration (2015) (1)
Symmetry-breaking under small perturbations (1989) (1)
Translation-invariant functionals on functions defined in euclidean spaces (1965) (1)
The Einstein-Dirac-Maxwell Equations - Black Hole Solutions (1999) (1)
OM-LIKE SOLUTIONS OF THE SU(2) EINSTEIN-YANG/MILLS EQUATIONS (1997) (1)
Comparison Theorems and Monotonicity Methods (1983) (1)
Nemytskii operator on generalized bounded variation space (2014) (1)
Analytical and Topological Methods for Reaction-Diffusion Equations (1984) (1)
Symmetry-breaking for systems of nonlinear elliptic equations (1989) (1)
Existence of particle-like solutions of the Einstein-Yang/Mills equations (1992) (1)
Positive Solutions of Semilinear Elliptic Equations on General Domains (1988) (1)
Theory of a cosmic shock-wave (2001) (0)
Uniqueness and Energy Integrals (1983) (0)
TRANSLATION-INVARIANT FUNCTIONALS. (1963) (0)
Shock-Wave Cosmology Inside a Black Hole September 20 , 2002 (0)
THEORY OF A COSMIC SHOCKWAVE (2016) (0)
Existence and structure of magnetohydrodynamic shock waves (1973) (0)
A Uniqueness Theorem f o r R i e m a n n Problems (2004) (0)
NUMERICAL INTEGRATION OF BLACK HOLE SOLUTIONS TO THE EINSTEIN/YANG-MILLS EQUATIONS (2011) (0)
Ill-Posed Problems (1983) (0)
Prescribing Gaussian Curvature on S$^2$(Solutions for Nonlinear Elliptic Equations) (1989) (0)
Semilinear Elliptic Equations in General Domains (0)
A SHOCK WAVE REFINEMENT of the FRIEDMANN-ROBERTSON-WALKER METRIC November 28 , 2003 (2003) (0)
A Survey of Hyperbolic Systems of Conservation Laws in Two Dependent Variables (1970) (0)
The Single Conservation Law (1983) (0)
ASYMMETRIC SOLUTIONS OF PROBLEMS WITH SYMMETRY (1988) (0)
Holmgren’s uniqueness theorem (2018) (0)
Quasi-Linear Parabolic Systems (1983) (0)
SHOCK-WAVE EXPLOSIONS IN GENERAL RELATIVITY 6-30-95 (2018) (0)
Existence and Consistency for the Initial Value Problem (2007) (0)
Dirac Fields in Gravitation and Nonabelian Gauge Theory (2006) (0)
Stellar Structure, Dynamics and Stability (2012) (0)
Structure of magnetohydrodynamic shock waves. Technical summary report (1974) (0)
Approximate solutions of the incompressible Eulerequations with no concentrationsMilton (1998) (0)
SHOCK WAVE COSMOLOGY INSIDE A BLACK HOLE: THE CASE OF NON-CRITICAL EXPANSION (2004) (0)
The Glimm Difference Scheme (1994) (0)
An Initial-Value Problem for a Hyperbolic Equation (1983) (0)
Shock Waves and Cosmology (0)
Characteristics and Initial-Value Problems (1983) (0)
Erratum: Decay of solutions of the teukolsky equation for higher spin in the schwarzschild geometry [Class. Quantum Grav. 33 (2016), 085010]DOI:10.4310/ATMP.2009.v13.n1.a3 (2016) (0)
Aerodynamic and Electromagnetic Properties of Plasmas. (1981) (0)
Mathematik Linear stability of the non-extreme Kerr black hole (2016) (0)
VI. FURTHER MATHEMATICAL APPROACHES AND TECHNIQUES (1980) (0)
Final Report for Contract N00014-88-K-0082 (Michigan University). (1990) (0)
Asymptotic Behavior of Massless Dirac Waves in Schwarzschild Geometry (2011) (0)
Absence of Zeros and WKB Error Estimates for Airy and Parabolic Cylinder Functions (2012) (0)
Existence of Magnetic Compressible Fluid Stars (2014) (0)
Shock-Wave C osmology (2001) (0)
The Analysis of Linear Partial Differential Operators, I (Lars Hörmander) (1991) (0)
The Initial Value Problem in Special Relativity (2007) (0)
Second-Order Linear Elliptic Equations (1983) (0)
How Inflationary Spacetimes Might Evolve into Spacetimes of Finite Total Mass (2005) (0)
The Riemann Problem for Systems of Conservation Laws (1983) (0)
Black Holes and Shock Waves Beyond the Hubble Length December 18 , 2002 (2022) (0)
Applications of Mathematics E. G. Ladopoulos; V. A. Zisis Existence and uniqueness for non-linear singular integral equations used in fluid mechanics (2020) (0)
Remarks on the uniqueness of radial solutions (1989) (0)
Index Pairs and the Continuation Theorem (1983) (0)
A One Parameter Family of Expanding Wave Solutions of the Einstein Equations that induces An Anomalous Acceleration into the Standard Model of Cosmology (2009) (0)
O ct 2 00 0 Absence of Static , Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang / Mills Equations with Angular Momentum of the Fermions (2000) (0)
HOW INFLATION IS USED TO RESOLVE THE FLATNESS PROBLEM (2006) (0)
An Alternative Proposal for the Anomalous Acceleration July 29 , 2015 (2015) (0)
Riemann Invariants, Entropy, and Uniqueness (1983) (0)
Solutions in the large for certain nonlinear hyperbolic systems arising in shock-wave theory (1976) (0)
Shock waves and general relativity (1994) (0)
Conformal Metrics on S2 with Prescribed Scalar Curvature (1992) (0)

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