## Smoller, Joel Alan

Compute Distance To:
 Author ID: smoller.joel-a Published as: Smoller, Joel; Smoller, J. A.; Smoller, J.; Smoller, Joel A.; Smoller, Joël more...less External Links: MGP · Wikidata · dblp · GND · IdRef
 Documents Indexed: 176 Publications since 1965, including 4 Books 1 Contribution as Editor Reviewing Activity: 2 Reviews Co-Authors: 30 Co-Authors with 151 Joint Publications 1,059 Co-Co-Authors
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### Co-Authors

 17 single-authored 34 Wasserman, Arthur G. 26 Temple, Blake 25 Finster, Felix 19 Conley, Charles Cameron 19 Yau, Shing-Tung 9 Conway, Edward Daire 7 Hoff, David 6 Kamran, Niky 6 Luo, Tao 6 Nishida, Takaaki 4 Cheng, Kuo-Shung 4 Temple, J. Blake 3 Vogler, Zeke 2 Bardos, Claude Williams 2 Gardner, Robert 2 Kichenassamy, Satyanad 2 Liu, Tai-Ping 2 McLeod, John Bryce 1 Chueh, Kai-Nan 1 Federbush, Paul G. 1 Groah, Jeff 1 Groah, Jeffrey M. 1 Matano, Hiroshi 1 Moler, Cleve B. 1 Pan, Ronghua 1 Rauch, Jeffrey B. 1 Taylor, Michael Eugene 1 Tromba, Anthony Joseph 1 Xie, Chunjing 1 Xin, Zhouping
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### Serials

 20 Communications in Mathematical Physics 18 Archive for Rational Mechanics and Analysis 13 Communications on Pure and Applied Mathematics 10 Journal of Differential Equations 6 Methods and Applications of Analysis 5 Journal of Mathematical Physics 4 SIAM Journal on Applied Mathematics 4 Advances in Theoretical and Mathematical Physics 3 Transactions of the American Mathematical Society 3 Journal of Hyperbolic Differential Equations 3 Bulletin of the American Mathematical Society 2 Michigan Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Advances in Applied Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin of the American Mathematical Society. New Series 2 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Grundlehren der Mathematischen Wissenschaften 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Nuclear Physics. B 1 Physics Letters. A 1 Mathematics of Computation 1 Advances in Mathematics 1 American Journal of Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Partial Differential Equations 1 Annales Henri Poincaré 1 Communications in Information and Systems 1 Communications in Mathematical Sciences 1 Journal of Mathematics and Mechanics 1 Contemporary Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Springer Monographs in Mathematics
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### Fields

 102 Partial differential equations (35-XX) 70 Relativity and gravitational theory (83-XX) 35 Fluid mechanics (76-XX) 19 Differential geometry (53-XX) 18 Ordinary differential equations (34-XX) 17 Quantum theory (81-XX) 15 Global analysis, analysis on manifolds (58-XX) 9 Astronomy and astrophysics (85-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Biology and other natural sciences (92-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

125 Publications have been cited 3,806 times in 2,955 Documents Cited by Year
Shock waves and reaction-diffusion equations. Zbl 0508.35002
Smoller, Joel
1983
Shock waves and reaction-diffusion equations. 2nd ed. Zbl 0807.35002
Smoller, Joel
1994
Positively invariant regions for systems of nonlinear diffusion equations. Zbl 0368.35040
Chueh, K. N.; Conley, C. C.; Smoller, J. A.
1977
Large time behavior of solutions of systems of nonlinear reaction- diffusion equations. Zbl 0383.35035
Conway, Edward; Hoff, David; Smoller, Joel
1978
Global bifurcation of steady-state solutions. Zbl 0425.34028
Smoller, J.; Wasserman, A.
1981
Solutions in the large for some nonlinear hyperbolic conservation laws. Zbl 0267.35058
Nishida, Takaaki; Smoller, Joel A.
1973
Global solutions of the relativistic Euler equations. Zbl 0780.76085
Smoller, Joel; Temple, Blake
1993
On the vacuum state for the isentropic gas dynamics equations. Zbl 0461.76055
Liu, T.-P.; Smoller, J. A.
1980
Qualitative theory of the Fitz Hugh-Nagumo equations. Zbl 0379.92002
Rauch, Jeffrey; Smoller, Joel
1978
Global solutions of the Cauchy problem for quasi-linear first-order equations in several space variables. Zbl 0138.34701
Conway, Edward; Smoller, Joel
1966
Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2006
Global analysis of a system of predator-prey equations. Zbl 0608.92016
Conway, E. D.; Smoller, J. A.
1986
Non-formation of vacuum states for compressible Navier-Stokes equations. Zbl 0988.76081
Hoff, David; Smoller, Joel
2001
Global solutions for an extended class of hyperbolic systems of conservation laws. Zbl 0167.10204
Smoller, J. A.; Johnson, J. L.
1969
Solutions in the large for certain nonlinear parabolic systems. Zbl 0578.35044
Hoff, David; Smoller, Joel
1985
On the solution of the Riemann problem with general step data for an extended class of hyperbolic systems. Zbl 0185.34501
Smoller, J. A.
1969
Bifurcation and symmetry-breaking. Zbl 0721.58011
Smoller, J.; Wasserman, Arthur G.
1990
Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations. Zbl 1163.85001
Luo, Tao; Smoller, Joel
2009
Smooth static solutions of the Einstein/Yang-Mills equations. Zbl 0755.53061
Smoller, Joel A.; Wassermann, Arthur G.; Yau, S.-T.; McLeod, J. B.
1991
Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations. Zbl 0582.35046
Smoller, Joel A.; Wasserman, Arthur G.
1984
Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions. Zbl 0608.35004
Smoller, Joel A.; Wasserman, Arthur G.
1986
Mixed problems for nonlinear conservation laws. Zbl 0303.35052
Nishida, Takaahr; Smoller, Joel
1977
Stability and bifurcation of steady-state solutions for predator-prey equations. Zbl 0505.35047
Conway, E.; Gardner, R.; Smoller, J.
1982
Existence of positive solutions for semilinear elliptic equations in general domains. Zbl 0664.35029
Smoller, Joel; Wasserman, Arthur
1987
Rotating fluids with self-gravitation in bounded domains. Zbl 1060.76125
Luo, Tao; Smoller, Joel
2004
A comparison technique for systems of reaction-diffusion equations. Zbl 0386.35003
Conway, E. D.; Smoller, J. A.
1977
Symmetry-breaking for positive solutions of semilinear elliptic equations. Zbl 0629.35040
Smoller, Joel; Wasserman, Arthur
1986
Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations. Zbl 0778.53026
Smoller, J. A.; Wasserman, A. G.
1993
Diffusion and the predator-prey interaction. Zbl 0368.35021
Conway, Edward D.; Smoller, Joel A.
1977
Blowup of smooth solutions for relativistic Euler equations. Zbl 1106.35118
Pan, Ronghua; Smoller, Joel A.
2006
Global existence for systems of parabolic conservation laws in several space variables. Zbl 0624.35044
Hoff, David; Smoller, Joel
1987
Existence of black hole solutions for the Einstein-Yang/Mills equations. Zbl 0779.53056
Smoller, J. A.; Wasserman, A. G.; Yau, S.-T.
1993
Nonlinear dynamical stability of Newtonian rotating and non-rotating white dwarfs and rotating supermassive stars. Zbl 1166.35031
Luo, Tao; Smoller, Joel
2008
Shock waves as limits of progressive wave solutions of higher order equations. II. Zbl 0225.35067
Smoller, J.; Conley, C.
1972
Non-degenerate solutions of boundary-value problems. Zbl 0429.34024
Smoller, J.; Tromba, A.; Wasserman, A.
1980
Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry. Zbl 1026.83029
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2002
The existence of periodic travelling waves for singularly perturbed predator prey equations via the Conley index. Zbl 0464.34031
Gardner, R.; Smoller, J.
1983
Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry. Zbl 1049.83014
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
2000
Shock waves as limits of progressive wave solutions of higher order equations. Zbl 0233.35063
Conley, Charles C.; Smoller, Joel A.
1971
On the structure of magnetohydrodynamic shock waves. Zbl 0284.76080
Conley, Charles C.; Smoller, Joel A.
1974
Viscosity matrices for two-dimensional nonlinear hyperbolic systems. Zbl 0204.11303
Conley, Charles C.; Smoller, Joel A.
1970
On the existence of radial solutions of quasi-linear elliptic equations. Zbl 0719.35027
Kichenassamy, Satyanad; Smoller, Joel
1990
Non-existence of time-periodic solutions of the Dirac equation in a Reissner- Nordström black hole background. Zbl 0983.83021
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
2000
Erratum: Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83014
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2008
An integral spectral representation of the propagator for the wave equation in the Kerr geometry. Zbl 1089.83017
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2005
Viscosity matrices for two-dimensional nonlinear hyperbolic systems. Zbl 0201.43301
Conley, Ch. C.; Smoller, J. A.
1970
A class of convergent finite difference schemes for certain nonlinear parabolic systems. Zbl 0535.65063
Nishida, Takaaki; Smoller, Joel
1983
Particle-like solutions of the Einstein-Dirac-Maxwell equations. Zbl 0936.83008
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
1999
Shock-wave cosmology inside a black hole. Zbl 1064.83041
Smoller, Joel; Temple, Blake
2003
Generic bifurcation of steady-state solutions. Zbl 0488.58015
Smoller, J.; Wasserman, A.
1984
Global solutions for certain systems of quasi-linear hyperbolic equations. Zbl 0165.11402
Johnson, J. L.; Smoller, J. A.
1967
An existence theorem for positive solutions of semilinear elliptic equations. Zbl 0624.35034
Smoller, Joel; Wasserman, Arthur
1986
A rigorous treatment of energy extraction from a rotating black hole. Zbl 1200.83068
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2009
Existence of magnetic compressible fluid stars. Zbl 1308.35206
Federbush, Paul; Luo, Tao; Smoller, Joel
2015
Predator-prey equations with diffusion. Zbl 0507.35042
Smoller, Joel
1982
Shock-wave solutions of the Einstein equations: The Oppenheimer-Snyder model of gravitational collapse extended to the case of non-zero pressure. Zbl 0824.53080
Smoller, Joel; Temple, Blake
1994
Regular solutions of the Einstein-Yang-Mills equations. Zbl 0847.35140
Smoller, J. A.; Wasserman, A. G.
1995
Linear stability of the non-extreme Kerr black hole. Zbl 1387.83045
Finster, Felix; Smoller, Joel
2018
Singular perturbations of Cauchy’s problem. Zbl 0151.20302
Smoller, J. A.
1965
Remarks on the stability of steady-state solutions of reaction-diffusion equations. Zbl 0458.76078
Conley, C.; Smoller, J.
1980
Elementary interactions in quasi-linear hyperbolic systems. Zbl 0192.44901
Moler, C.; Smoller, J.
1970
Conformal metrics with prescribed Gaussian curvature on $$S^ 2$$. Zbl 0783.53010
Cheng, Kuo-Shung; Smoller, Joel A.
1993
Topological techniques in reaction-diffusion equations. Zbl 0444.35005
Conley, Charles; Smoller, Joel
1980
On the structure of magnetohydrodynamic shock waves. II. Zbl 0292.76045
Conley, Charles C.; Smoller, Joel A.
1976
On the monotonicity of the time-map. Zbl 0673.34008
Smoller, J.; Wasserman, A.
1989
Error bounds for finite-difference approximations for a class of nonlinear parabolic systems. Zbl 0613.65096
Hoff, David; Smoller, Joel
1985
Viscosity matrices for two-dimensional non-linear hyperbolic systems. II. Zbl 0247.35081
Smoller, Joel A.; Conley, Charles C.
1972
Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking. Zbl 0702.35016
Smoller, Joel; Wasserman, Arthur
1990
Global solutions of hyperbolic systems of conservation laws in two dependent variables. Zbl 0164.12102
Johnson, J. L.; Smoller, J. A.
1968
Diffusion and the classical ecological interactions: asymptotics. Zbl 0359.35040
Conway, E. D.; Smoller, J. A.
1977
Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. Zbl 1178.81205
Finster, Felix; Smoller, Joel
2009
Geometrical optics and the corner problem. Zbl 0296.35053
Sarason, L.; Smoller, J. A.
1974
Bifurcation and stability of stationary solutions of the Fitz-Hugh-Nagumo equations. Zbl 0605.58031
Conley, C.; Smoller, J.
1986
A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. Zbl 1180.35524
Finster, Felix; Smoller, Joel
2008
An investigation of the limiting behaviour of particle-like solutions to the Einstein-Yang/Mills equations and a new black hole solution. Zbl 0809.53079
Smoller, J. A.; Wasserman, A. G.
1994
Singular perturbations and a theorem of Kisynski. Zbl 0135.17502
Smoller, J. A.
1965
A uniqueness theorem for Riemann problems. Zbl 0176.09402
Smoller, J. A.
1969
Contact discontinuities in quasi-linear hyperbolic systems. Zbl 0195.39201
Smoller, J. A.
1970
Expanding wave solutions of the Einstein equations that induce an anomalous acceleration into the standard model of cosmology. Zbl 1203.83004
Temple, Blake; Smoller, Joel
2009
Erratum: ”Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry”. Zbl 1049.83015
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
2000
Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system. Zbl 0939.83037
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
1999
Instability of rarefaction shocks in systems of conservation laws. Zbl 0724.76039
Smoller, J. A.; Temple, J. B.; Xin, Z. P.
1990
Uniqueness and stability theorem for the generalized solution of the initial-value problem for a class of quasi-linear equations in several space variables. Zbl 0157.16701
Conway, E.; Smoller, J.
1967
Shock wave interactions in general relativity. A locally inertial Glimm scheme for spherically symmetric spacetimes. Zbl 1113.83002
Groah, Jeffrey; Smoller, Joel; Temple, Blake
2007
On the Oppenheimer-Volkoff equations in general relativity. Zbl 0906.35108
Smoller, Joel; Temple, Blake
1998
Error bounds for Glimm difference approximations for scalar conservation laws. Zbl 0579.65096
Hoff, David; Smoller, Joel
1985
Linear waves in the Kerr geometry: a mathematical voyage to black hole physics. Zbl 1177.83082
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
2009
Bifurcation from symmetry. Zbl 0666.35008
Smoller, J.; Wasserman, A. G.
1988
The complete solution space for a system of reaction-diffusion equations. Zbl 0561.35041
Smoller, Joel A.
1984
Cosmology with a shock-wave. Zbl 1009.83067
Smoller, Joel; Temple, Blake
2000
Asymptotic behavior of massless Dirac waves in Schwarzschild geometry. Zbl 1357.58034
Smoller, Joel; Xie, Chunjing
2012
Wave front sets and the viscosity method. Zbl 0256.35010
Smoller, Joel A.; Taylor, Michael E.
1973
Extendability of solutions of the Einstein-Yang/Mills equations. Zbl 0915.53037
Smoller, J. A.; Wasserman, A. G.
1998
Two lectures on nonlinear parabolic systems. Zbl 0568.35048
Smoller, J.
1984
Cosmology, black holes and shock waves beyond the Hubble length. Zbl 1088.83025
Smoller, Joel; Temple, Blake
2004
Dispersion and shock-wave structure. Zbl 0486.35052
Smoller, J. A.; Shapiro, R.
1982
Limiting masses of solutions of the Einstein-Yang/Mills equations. Zbl 0886.53056
Smoller, J. A.; Wasserman, A. G.
1996
General relativistic shock waves that extend the Oppenheimer-Snyder model. Zbl 0888.76096
Smoller, Joel; Temple, Blake
1997
Reissner-Norström-like solutions of the $$SU(2)$$ Einstein-Yang/Mills equations. Zbl 0895.53061
Smoller, J. A.; Wasserman, A. G.
1997
Shock-wave solutions in closed form and the Oppenheimer-Snyder limit in general relativity. Zbl 0945.76099
Smoller, Joel; Temple, Blake
1998
Linear stability of the non-extreme Kerr black hole. Zbl 1387.83045
Finster, Felix; Smoller, Joel
2018
Existence of magnetic compressible fluid stars. Zbl 1308.35206
Federbush, Paul; Luo, Tao; Smoller, Joel
2015
Absence of zeros and asymptotic error estimates for Airy and parabolic cylinder functions. Zbl 1293.33005
Finster, Felix; Smoller, Joel
2014
Corrections to the standard model of cosmology. Zbl 1305.83066
Smoller, Joel; Temple, Blake; Vogler, Zeke
2013
Asymptotic behavior of massless Dirac waves in Schwarzschild geometry. Zbl 1357.58034
Smoller, Joel; Xie, Chunjing
2012
On the Euler-Poisson equations of self-gravitating compressible fluids. Zbl 1252.35230
Luo, Tao; Smoller, Joel
2011
Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations. Zbl 1163.85001
Luo, Tao; Smoller, Joel
2009
A rigorous treatment of energy extraction from a rotating black hole. Zbl 1200.83068
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2009
Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. Zbl 1178.81205
Finster, Felix; Smoller, Joel
2009
Expanding wave solutions of the Einstein equations that induce an anomalous acceleration into the standard model of cosmology. Zbl 1203.83004
Temple, Blake; Smoller, Joel
2009
Linear waves in the Kerr geometry: a mathematical voyage to black hole physics. Zbl 1177.83082
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
2009
Nonlinear dynamical stability of Newtonian rotating and non-rotating white dwarfs and rotating supermassive stars. Zbl 1166.35031
Luo, Tao; Smoller, Joel
2008
Erratum: Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83014
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2008
A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. Zbl 1180.35524
Finster, Felix; Smoller, Joel
2008
Shock wave interactions in general relativity. A locally inertial Glimm scheme for spherically symmetric spacetimes. Zbl 1113.83002
Groah, Jeffrey; Smoller, Joel; Temple, Blake
2007
Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2006
Blowup of smooth solutions for relativistic Euler equations. Zbl 1106.35118
Pan, Ronghua; Smoller, Joel A.
2006
An integral spectral representation of the propagator for the wave equation in the Kerr geometry. Zbl 1089.83017
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2005
Rotating fluids with self-gravitation in bounded domains. Zbl 1060.76125
Luo, Tao; Smoller, Joel
2004
Cosmology, black holes and shock waves beyond the Hubble length. Zbl 1088.83025
Smoller, Joel; Temple, Blake
2004
Shock-wave cosmology inside a black hole. Zbl 1064.83041
Smoller, Joel; Temple, Blake
2003
Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry. Zbl 1026.83029
Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T.
2002
Non-formation of vacuum states for compressible Navier-Stokes equations. Zbl 0988.76081
Hoff, David; Smoller, Joel
2001
Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry. Zbl 1049.83014
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
2000
Non-existence of time-periodic solutions of the Dirac equation in a Reissner- Nordström black hole background. Zbl 0983.83021
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
2000
Erratum: ”Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry”. Zbl 1049.83015
Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung
2000
Cosmology with a shock-wave. Zbl 1009.83067
Smoller, Joel; Temple, Blake
2000
Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells. Zbl 1016.83027
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
2000
The interaction of Dirac particles with non-abelian gauge fields and gravity – black holes. Zbl 0971.83037
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
2000
The interaction of Dirac particles with non-abelian gauge fields and gravity-bound states. Zbl 0984.81079
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
2000
Some recent progress in classical general relativity. Zbl 0984.83003
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
2000
Particle-like solutions of the Einstein-Dirac-Maxwell equations. Zbl 0936.83008
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
1999
Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system. Zbl 0939.83037
Finster, Felix; Smoller, Joel; Yau, Shing-Tung
1999
On the Oppenheimer-Volkoff equations in general relativity. Zbl 0906.35108
Smoller, Joel; Temple, Blake
1998
Extendability of solutions of the Einstein-Yang/Mills equations. Zbl 0915.53037
Smoller, J. A.; Wasserman, A. G.
1998
Shock-wave solutions in closed form and the Oppenheimer-Snyder limit in general relativity. Zbl 0945.76099
Smoller, Joel; Temple, Blake
1998
General relativistic shock waves that extend the Oppenheimer-Snyder model. Zbl 0888.76096
Smoller, Joel; Temple, Blake
1997
Reissner-Norström-like solutions of the $$SU(2)$$ Einstein-Yang/Mills equations. Zbl 0895.53061
Smoller, J. A.; Wasserman, A. G.
1997
Solutions of the Oppenheimer-Volkoff equations inside $$9/8^{ths}$$ of the Schwarzschild radius. Zbl 0872.58082
Smoller, Joel; Temple, Blake
1997
Multi-dimensional shock-waves for relativistic fluids. Zbl 0883.35078
Smoller, Joel; Temple, Blake
1997
Limiting masses of solutions of the Einstein-Yang/Mills equations. Zbl 0886.53056
Smoller, J. A.; Wasserman, A. G.
1996
Uniqueness of zero surface gravity $$SU(2)$$ Einstein-Yang/Mills black holes. Zbl 0861.53085
Smoller, J. A.; Wasserman, A. G.
1996
Regular solutions of the Einstein-Yang-Mills equations. Zbl 0847.35140
Smoller, J. A.; Wasserman, A. G.
1995
Shock waves and reaction-diffusion equations. 2nd ed. Zbl 0807.35002
Smoller, Joel
1994
Shock-wave solutions of the Einstein equations: The Oppenheimer-Snyder model of gravitational collapse extended to the case of non-zero pressure. Zbl 0824.53080
Smoller, Joel; Temple, Blake
1994
An investigation of the limiting behaviour of particle-like solutions to the Einstein-Yang/Mills equations and a new black hole solution. Zbl 0809.53079
Smoller, J. A.; Wasserman, A. G.
1994
Global solutions of the relativistic Euler equations. Zbl 0780.76085
Smoller, Joel; Temple, Blake
1993
Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations. Zbl 0778.53026
Smoller, J. A.; Wasserman, A. G.
1993
Existence of black hole solutions for the Einstein-Yang/Mills equations. Zbl 0779.53056
Smoller, J. A.; Wasserman, A. G.; Yau, S.-T.
1993
Conformal metrics with prescribed Gaussian curvature on $$S^ 2$$. Zbl 0783.53010
Cheng, Kuo-Shung; Smoller, Joel A.
1993
Smooth static solutions of the Einstein-Yang/Mills equation. Zbl 0763.35097
Smoller, J.; Wasserman, A.; Yau, S. T.; McLeod, B.
1992
Smooth static solutions of the Einstein/Yang-Mills equations. Zbl 0755.53061
Smoller, Joel A.; Wassermann, Arthur G.; Yau, S.-T.; McLeod, J. B.
1991
Symmetry-breaking bifurcations. Zbl 0768.35008
Smoller, J.; Wasserman, A.
1991
Bifurcation and symmetry-breaking. Zbl 0721.58011
Smoller, J.; Wasserman, Arthur G.
1990
On the existence of radial solutions of quasi-linear elliptic equations. Zbl 0719.35027
Kichenassamy, Satyanad; Smoller, Joel
1990
Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking. Zbl 0702.35016
Smoller, Joel; Wasserman, Arthur
1990
Instability of rarefaction shocks in systems of conservation laws. Zbl 0724.76039
Smoller, J. A.; Temple, J. B.; Xin, Z. P.
1990
On the monotonicity of the time-map. Zbl 0673.34008
Smoller, J.; Wasserman, A.
1989
Symmetry-breaking under small perturbations. Zbl 0692.35009
Cheng, K.-S.; Smoller, J. A.
1989
Symmetry-breaking for systems of nonlinear elliptic equations. Zbl 0834.35043
Cheng, K.-S.; Smoller, J. A.
1989
Bifurcation from symmetry. Zbl 0666.35008
Smoller, J.; Wasserman, A. G.
1988
Existence of positive solutions for semilinear elliptic equations in general domains. Zbl 0664.35029
Smoller, Joel; Wasserman, Arthur
1987
Global existence for systems of parabolic conservation laws in several space variables. Zbl 0624.35044
Hoff, David; Smoller, Joel
1987
Global analysis of a system of predator-prey equations. Zbl 0608.92016
Conway, E. D.; Smoller, J. A.
1986
Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions. Zbl 0608.35004
Smoller, Joel A.; Wasserman, Arthur G.
1986
Symmetry-breaking for positive solutions of semilinear elliptic equations. Zbl 0629.35040
Smoller, Joel; Wasserman, Arthur
1986
An existence theorem for positive solutions of semilinear elliptic equations. Zbl 0624.35034
Smoller, Joel; Wasserman, Arthur
1986
Bifurcation and stability of stationary solutions of the Fitz-Hugh-Nagumo equations. Zbl 0605.58031
Conley, C.; Smoller, J.
1986
Solutions in the large for certain nonlinear parabolic systems. Zbl 0578.35044
Hoff, David; Smoller, Joel
1985
Error bounds for finite-difference approximations for a class of nonlinear parabolic systems. Zbl 0613.65096
Hoff, David; Smoller, Joel
1985
Error bounds for Glimm difference approximations for scalar conservation laws. Zbl 0579.65096
Hoff, David; Smoller, Joel
1985
Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations. Zbl 0582.35046
Smoller, Joel A.; Wasserman, Arthur G.
1984
Generic bifurcation of steady-state solutions. Zbl 0488.58015
Smoller, J.; Wasserman, A.
1984
The complete solution space for a system of reaction-diffusion equations. Zbl 0561.35041
Smoller, Joel A.
1984
Two lectures on nonlinear parabolic systems. Zbl 0568.35048
Smoller, J.
1984
Shock waves and reaction-diffusion equations. Zbl 0508.35002
Smoller, Joel
1983
The existence of periodic travelling waves for singularly perturbed predator prey equations via the Conley index. Zbl 0464.34031
Gardner, R.; Smoller, J.
1983
A class of convergent finite difference schemes for certain nonlinear parabolic systems. Zbl 0535.65063
Nishida, Takaaki; Smoller, Joel
1983
Algebraic and topological invariants for reaction-diffusion equations. Zbl 0533.35050
Conley, Charles C.; Smoller, Joel A.
1983
Stability and bifurcation of steady-state solutions for predator-prey equations. Zbl 0505.35047
Conway, E.; Gardner, R.; Smoller, J.
1982
Predator-prey equations with diffusion. Zbl 0507.35042
Smoller, Joel
1982
Dispersion and shock-wave structure. Zbl 0486.35052
Smoller, J. A.; Shapiro, R.
1982
Global bifurcation of steady-state solutions. Zbl 0425.34028
Smoller, J.; Wasserman, A.
1981
On the vacuum state for the isentropic gas dynamics equations. Zbl 0461.76055
Liu, T.-P.; Smoller, J. A.
1980
Non-degenerate solutions of boundary-value problems. Zbl 0429.34024
Smoller, J.; Tromba, A.; Wasserman, A.
1980
Remarks on the stability of steady-state solutions of reaction-diffusion equations. Zbl 0458.76078
Conley, C.; Smoller, J.
1980
Topological techniques in reaction-diffusion equations. Zbl 0444.35005
Conley, Charles; Smoller, Joel
1980
Large time behavior of solutions of systems of nonlinear reaction- diffusion equations. Zbl 0383.35035
Conway, Edward; Hoff, David; Smoller, Joel
1978
Qualitative theory of the Fitz Hugh-Nagumo equations. Zbl 0379.92002
Rauch, Jeffrey; Smoller, Joel
1978
Isolated invariant sets of parameterized systems of differential equations. Zbl 0388.58014
Conley, C.; Smoller, Joel
1978
Positively invariant regions for systems of nonlinear diffusion equations. Zbl 0368.35040
Chueh, K. N.; Conley, C. C.; Smoller, J. A.
1977
Mixed problems for nonlinear conservation laws. Zbl 0303.35052
Nishida, Takaahr; Smoller, Joel
1977
A comparison technique for systems of reaction-diffusion equations. Zbl 0386.35003
Conway, E. D.; Smoller, J. A.
1977
Diffusion and the predator-prey interaction. Zbl 0368.35021
Conway, Edward D.; Smoller, Joel A.
1977
Diffusion and the classical ecological interactions: asymptotics. Zbl 0359.35040
Conway, E. D.; Smoller, J. A.
1977
Instabilite des solutions stationaires pour des systèmes de reaction- diffusion. Zbl 0363.35018
Bardos, Claude; Smoller, Joel
1977
On the structure of magnetohydrodynamic shock waves. II. Zbl 0292.76045
Conley, Charles C.; Smoller, Joel A.
1976
Remarks on traveling wave solutions of non-linear diffusion equations. Zbl 0341.35048
Conley, C.; Smoller, Joel
1976
The existence of heteroclinic orbits, and applications. Zbl 0314.34051
Conley, Charles C.; Smoller, Joel A.
1975
On the structure of magnetohydrodynamic shock waves. Zbl 0284.76080
Conley, Charles C.; Smoller, Joel A.
1974
...and 25 more Documents
all top 5

### Cited by 3,046 Authors

 63 Smoller, Joel Alan 33 Xin, Zhouping 27 Chen, Gui-Qiang G. 25 Zhao, Huijiang 24 Zumbrun, Kevin R. 23 Huang, Feimin 22 Yang, Tong 22 Zhu, Changjiang 19 Chen, Shuxing 19 Lu, Yunguang 19 Wang, Yi 19 Wasserman, Arthur G. 18 Finster, Felix 18 LeFloch, Philippe Gerard 17 Bressan, Alberto 17 Lin, Guo 17 Liu, Tai-Ping 16 Luo, Tao 16 Shen, Chun 15 Frid, Hermano 15 Temple, Blake 15 Wu, Jianhua 14 Ding, Min 14 Feireisl, Eduard 14 Ko, Wonlyul 14 Shao, Zhiqiang 13 Ackleh, Azmy S. 13 Corli, Andrea 13 Shi, Junping 13 Zhang, Yongqian 12 Chen, Geng 12 Colombo, Rinaldo M. 12 Fiedler, Bernold 12 Hérard, Jean-Marc 12 Marchesin, Dan 12 Mischaikow, Konstantin 12 Risebro, Nils Henrik 12 Sun, Meina 12 Wang, Shin-Hwa 12 Yau, Shing-Tung 11 Asakura, Fumioki 11 Hong, John Meng-Kai 11 Marcati, Pierangelo 11 Sekhar, T. Raja 10 Aniţa, Sebastian 10 Fitzgibbon, William Edward 10 Guo, Zongming 10 Li, Dening 10 Li, Hailiang 10 Li, Yachun 10 Marciniak-Czochra, Anna K. 10 Nie, Hua 10 Popov, Boyan 10 Rocha, Carlos 10 Sheng, Wancheng 9 Ahn, Inkyung 9 Capasso, Vincenzo 9 Freistühler, Heinrich 9 Guermond, Jean-Luc 9 Hoff, David 9 Li, Wan-Tong 9 Lin, Song-Sun 9 Morgan, Jeff J. 9 Qu, Aifang 9 Shivaji, Ratnasingham 9 Tadmor, Eitan 9 Yin, Gan 9 Yin, Haiyan 9 Zheng, Sining 8 Amadori, Debora 8 Cosner, Chris 8 DiPerna, Ronald J. 8 Gladiali, Francesca 8 Jang, Juhi 8 Jenssen, Helge Kristian 8 Liu, Hailiang 8 Mimura, Masayasu 8 Natalini, Roberto 8 Pan, Ronghua 8 Wang, Zhian 8 Wei, Junjie 8 Yoshida, Natsumi 8 Zeng, Huihui 7 Chen, Chaonien 7 Duan, Renjun 7 Fellner, Klemens 7 Karafyllis, Iasson 7 Krstić, Miroslav 7 Li, Jiequan 7 Li, Lige 7 Nolasco de Carvalho, Alexandre 7 Parshad, Rana D. 7 Rojas-Palma, Alejandro 7 Rothe, Franz 7 Rybicki, Sławomir Maciej 7 Saldanha da Gama, Rogério Martins 7 Serre, Denis 7 Shen, Wen 7 Villadelprat, Jordi 7 Wang, Jinfeng ...and 2,946 more Authors
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### Cited in 348 Serials

 312 Journal of Differential Equations 203 Journal of Mathematical Analysis and Applications 137 Archive for Rational Mechanics and Analysis 91 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 89 Nonlinear Analysis. Theory, Methods & Applications 68 Communications in Mathematical Physics 65 Transactions of the American Mathematical Society 59 Nonlinear Analysis. Real World Applications 52 Journal of Mathematical Physics 49 Communications in Partial Differential Equations 49 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 44 Journal of Computational Physics 42 Journal of Mathematical Biology 42 Mathematical Methods in the Applied Sciences 38 ZAMP. Zeitschrift für angewandte Mathematik und Physik 36 Physica D 34 Applied Mathematics and Computation 34 SIAM Journal on Mathematical Analysis 32 Applicable Analysis 30 Discrete and Continuous Dynamical Systems. Series B 29 Proceedings of the American Mathematical Society 28 Journal of Computational and Applied Mathematics 28 Applied Mathematics Letters 26 Journal of Dynamics and Differential Equations 25 Computers & Mathematics with Applications 25 Mathematical Biosciences 25 Journal of Hyperbolic Differential Equations 22 Mathematics of Computation 22 Quarterly of Applied Mathematics 22 Communications on Pure and Applied Analysis 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Studies in Applied Mathematics 20 Acta Applicandae Mathematicae 19 Communications on Pure and Applied Mathematics 19 Discrete and Continuous Dynamical Systems 17 Japan Journal of Industrial and Applied Mathematics 17 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 16 Advances in Mathematics 16 Annales Henri Poincaré 15 Acta Mathematicae Applicatae Sinica. English Series 14 Calculus of Variations and Partial Differential Equations 13 Chinese Annals of Mathematics. Series B 13 Mathematical and Computer Modelling 12 Nonlinearity 12 Bulletin of Mathematical Biology 12 Numerical Methods for Partial Differential Equations 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Boundary Value Problems 12 Science China. Mathematics 11 General Relativity and Gravitation 11 Rocky Mountain Journal of Mathematics 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Advances in Difference Equations 10 Chaos, Solitons and Fractals 10 Abstract and Applied Analysis 10 Mathematical Biosciences and Engineering 9 Computers and Fluids 9 Journal of Geometry and Physics 9 Numerische Mathematik 9 RAIRO. Modélisation Mathématique et Analyse Numérique 9 Journal of Nonlinear Science 8 International Journal of Engineering Science 8 Journal of Statistical Physics 8 Journal of Functional Analysis 8 Applied Mathematical Modelling 8 Discrete Dynamics in Nature and Society 8 Journal of Mathematical Fluid Mechanics 7 Bulletin of the Australian Mathematical Society 7 Classical and Quantum Gravity 7 Computer Methods in Applied Mechanics and Engineering 7 Automatica 7 Calcolo 7 Ricerche di Matematica 7 Applied Numerical Mathematics 7 Journal of Scientific Computing 7 SIAM Journal on Applied Mathematics 7 Stochastic Processes and their Applications 7 Living Reviews in Relativity 7 Acta Mathematica Scientia. Series B. (English Edition) 7 Journal of Applied Mathematics and Computing 7 Journal of Biological Dynamics 7 Discrete and Continuous Dynamical Systems. Series S 7 Annals of PDE 7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Indian Journal of Pure & Applied Mathematics 6 Journal of Engineering Mathematics 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Applied Mathematics and Optimization 6 Inventiones Mathematicae 6 Memoirs of the American Mathematical Society 6 Stochastic Analysis and Applications 6 European Journal of Applied Mathematics 6 Applications of Mathematics 6 Bulletin of the American Mathematical Society. New Series 6 SIAM Journal on Scientific Computing 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Communications in Nonlinear Science and Numerical Simulation 6 Journal of High Energy Physics 6 Journal of Evolution Equations ...and 248 more Serials
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### Cited in 54 Fields

 2,230 Partial differential equations (35-XX) 766 Fluid mechanics (76-XX) 516 Biology and other natural sciences (92-XX) 298 Ordinary differential equations (34-XX) 298 Numerical analysis (65-XX) 216 Relativity and gravitational theory (83-XX) 180 Dynamical systems and ergodic theory (37-XX) 97 Global analysis, analysis on manifolds (58-XX) 85 Operator theory (47-XX) 80 Mechanics of deformable solids (74-XX) 80 Statistical mechanics, structure of matter (82-XX) 77 Classical thermodynamics, heat transfer (80-XX) 76 Differential geometry (53-XX) 73 Quantum theory (81-XX) 65 Probability theory and stochastic processes (60-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 51 Systems theory; control (93-XX) 44 Astronomy and astrophysics (85-XX) 41 Integral equations (45-XX) 28 Optics, electromagnetic theory (78-XX) 23 Mechanics of particles and systems (70-XX) 19 Operations research, mathematical programming (90-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Functional analysis (46-XX) 15 General topology (54-XX) 12 Geophysics (86-XX) 10 Real functions (26-XX) 9 Difference and functional equations (39-XX) 9 Manifolds and cell complexes (57-XX) 8 Algebraic topology (55-XX) 7 Measure and integration (28-XX) 7 Computer science (68-XX) 6 History and biography (01-XX) 5 Special functions (33-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX)

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