Edit Profile (opens in new tab) Smoller, Joel Alan (b. 1935 d. 2017) Co-Author Distance 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: 179 Publications since 1965, including 4 Books and 3 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 2 Reviews Co-Authors: 30 Co-Authors with 156 Joint Publications 1,224 Co-Co-Authors all top 5 Co-Authors 17 single-authored 34 Temple, Blake 34 Wasserman, Arthur G. 26 Finster, Felix 20 Yau, Shing-Tung 19 Conley, Charles Cameron 9 Conway, Edward Daire 9 Kamran, Niky 7 Hoff, David 6 Luo, Tao 6 Nishida, Takaaki 4 Cheng, Kuo-Shung 4 Vogler, Zeke 2 Bardos, Claude Williams 2 Gardner, Robert 2 Kichenassamy, Satyanad 2 Liu, Tai-Ping 2 McLeod, John Bryce 1 Alexander, Christopher 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 all top 5 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 all top 5 Fields 103 Partial differential equations (35-XX) 71 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 4,583 times in 3,562 Documents Cited by ▼ Year ▼ Shock waves and reaction-diffusion equations. Zbl 0508.35002 Smoller, Joel 1,132 1983 Shock waves and reaction-diffusion equations. 2nd ed. Zbl 0807.35002 Smoller, Joel 914 1994 Positively invariant regions for systems of nonlinear diffusion equations. Zbl 0368.35040 Chueh, K. N.; Conley, C. C.; Smoller, J. A. 245 1977 Large time behavior of solutions of systems of nonlinear reaction- diffusion equations. Zbl 0383.35035 Conway, Edward; Hoff, David; Smoller, Joel 170 1978 Global bifurcation of steady-state solutions. Zbl 0425.34028 Smoller, J.; Wasserman, A. 138 1981 Solutions in the large for some nonlinear hyperbolic conservation laws. Zbl 0267.35058 Nishida, Takaaki; Smoller, Joel A. 101 1973 On the vacuum state for the isentropic gas dynamics equations. Zbl 0461.76055 Liu, T.-P.; Smoller, J. A. 101 1980 Global solutions of the relativistic Euler equations. Zbl 0780.76085 Smoller, Joel; Temple, Blake 99 1993 Qualitative theory of the Fitz Hugh-Nagumo equations. Zbl 0379.92002 Rauch, Jeffrey; Smoller, Joel 64 1978 Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 60 2006 Global analysis of a system of predator-prey equations. Zbl 0608.92016 Conway, E. D.; Smoller, J. A. 58 1986 Global solutions of the Cauchy problem for quasi-linear first-order equations in several space variables. Zbl 0138.34701 Conway, Edward; Smoller, Joel 55 1966 Non-formation of vacuum states for compressible Navier-Stokes equations. Zbl 0988.76081 Hoff, David; Smoller, Joel 54 2001 Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations. Zbl 1163.85001 Luo, Tao; Smoller, Joel 52 2009 Global solutions for an extended class of hyperbolic systems of conservation laws. Zbl 0167.10204 Smoller, J. A.; Johnson, J. L. 46 1969 Solutions in the large for certain nonlinear parabolic systems. Zbl 0578.35044 Hoff, David; Smoller, Joel 43 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. 42 1969 Bifurcation and symmetry-breaking. Zbl 0721.58011 Smoller, J.; Wasserman, Arthur G. 42 1990 Smooth static solutions of the Einstein/Yang-Mills equations. Zbl 0755.53061 Smoller, Joel A.; Wassermann, Arthur G.; Yau, S.-T.; McLeod, J. B. 42 1991 Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations. Zbl 0582.35046 Smoller, Joel A.; Wasserman, Arthur G. 35 1984 Mixed problems for nonlinear conservation laws. Zbl 0303.35052 Nishida, Takaaki; Smoller, Joel 34 1977 Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions. Zbl 0608.35004 Smoller, Joel A.; Wasserman, Arthur G. 33 1986 Stability and bifurcation of steady-state solutions for predator-prey equations. Zbl 0505.35047 Conway, E.; Gardner, R.; Smoller, J. 32 1982 Rotating fluids with self-gravitation in bounded domains. Zbl 1060.76125 Luo, Tao; Smoller, Joel 31 2004 Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations. Zbl 0778.53026 Smoller, J. A.; Wasserman, A. G. 31 1993 Existence of black hole solutions for the Einstein-Yang/Mills equations. Zbl 0779.53056 Smoller, J. A.; Wasserman, A. G.; Yau, S.-T. 30 1993 Nonlinear dynamical stability of Newtonian rotating and non-rotating white dwarfs and rotating supermassive stars. Zbl 1166.35031 Luo, Tao; Smoller, Joel 30 2008 Blowup of smooth solutions for relativistic Euler equations. Zbl 1106.35118 Pan, Ronghua; Smoller, Joel A. 30 2006 Existence of positive solutions for semilinear elliptic equations in general domains. Zbl 0664.35029 Smoller, Joel; Wasserman, Arthur 29 1987 A comparison technique for systems of reaction-diffusion equations. Zbl 0386.35003 Conway, E. D.; Smoller, J. A. 28 1977 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 27 2000 Diffusion and the predator-prey interaction. Zbl 0368.35021 Conway, Edward D.; Smoller, Joel A. 26 1977 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. 25 2002 Particle-like solutions of the Einstein-Dirac-Maxwell equations. Zbl 0936.83008 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 25 1999 The existence of periodic travelling waves for singularly perturbed predator prey equations via the Conley index. Zbl 0464.34031 Gardner, R.; Smoller, J. 24 1983 Symmetry-breaking for positive solutions of semilinear elliptic equations. Zbl 0629.35040 Smoller, Joel; Wasserman, Arthur 24 1986 Shock waves as limits of progressive wave solutions of higher order equations. II. Zbl 0225.35067 Smoller, J.; Conley, C. 22 1972 Global existence for systems of parabolic conservation laws in several space variables. Zbl 0624.35044 Hoff, David; Smoller, Joel 21 1987 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 20 2000 Non-degenerate solutions of boundary-value problems. Zbl 0429.34024 Smoller, J.; Tromba, A.; Wasserman, A. 20 1980 On the structure of magnetohydrodynamic shock waves. Zbl 0284.76080 Conley, Charles C.; Smoller, Joel A. 18 1974 Shock waves as limits of progressive wave solutions of higher order equations. Zbl 0233.35063 Conley, Charles C.; Smoller, Joel A. 18 1971 Viscosity matrices for two-dimensional nonlinear hyperbolic systems. Zbl 0204.11303 Conley, Charles C.; Smoller, Joel A. 17 1970 On the existence of radial solutions of quasi-linear elliptic equations. Zbl 0719.35027 Kichenassamy, Satyanad; Smoller, Joel 17 1990 Viscosity matrices for two-dimensional nonlinear hyperbolic systems. Zbl 0201.43301 Conley, Ch. C.; Smoller, J. A. 16 1970 Erratum: Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83014 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 16 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. 14 2005 Existence of magnetic compressible fluid stars. Zbl 1308.35206 Federbush, Paul; Luo, Tao; Smoller, Joel 13 2015 A class of convergent finite difference schemes for certain nonlinear parabolic systems. Zbl 0535.65063 Nishida, Takaaki; Smoller, Joel 13 1983 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 12 1999 Global solutions for certain systems of quasi-linear hyperbolic equations. Zbl 0165.11402 Johnson, J. L.; Smoller, J. A. 12 1967 Topological techniques in reaction-diffusion equations. Zbl 0444.35005 Conley, Charles; Smoller, Joel 12 1980 A rigorous treatment of energy extraction from a rotating black hole. Zbl 1200.83068 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 12 2009 Generic bifurcation of steady-state solutions. Zbl 0488.58015 Smoller, J.; Wasserman, A. 12 1984 Linear stability of the non-extreme Kerr black hole. Zbl 1387.83045 Finster, Felix; Smoller, Joel 11 2018 Shock-wave cosmology inside a black hole. Zbl 1064.83041 Smoller, Joel; Temple, Blake 11 2003 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 11 1994 An existence theorem for positive solutions of semilinear elliptic equations. Zbl 0624.35034 Smoller, Joel; Wasserman, Arthur 11 1986 Elementary interactions in quasi-linear hyperbolic systems. Zbl 0192.44901 Moler, C.; Smoller, J. 10 1970 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. 9 1967 Singular perturbations of Cauchy’s problem. Zbl 0151.20302 Smoller, J. A. 9 1965 Regular solutions of the Einstein-Yang-Mills equations. Zbl 0847.35140 Smoller, J. A.; Wasserman, A. G. 9 1995 Conformal metrics with prescribed Gaussian curvature on \(S^ 2\). Zbl 0783.53010 Cheng, Kuo-Shung; Smoller, Joel A. 9 1993 Diffusion and the classical ecological interactions: asymptotics. Zbl 0359.35040 Conway, E. D.; Smoller, J. A. 9 1977 Predator-prey equations with diffusion. Zbl 0507.35042 Smoller, Joel 9 1982 Remarks on the stability of steady-state solutions of reaction-diffusion equations. Zbl 0458.76078 Conley, C.; Smoller, J. 9 1980 Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking. Zbl 0702.35016 Smoller, Joel; Wasserman, Arthur 8 1990 On the structure of magnetohydrodynamic shock waves. II. Zbl 0292.76045 Conley, Charles C.; Smoller, Joel A. 8 1976 Geometrical optics and the corner problem. Zbl 0296.35053 Sarason, L.; Smoller, J. A. 8 1974 Error bounds for finite-difference approximations for a class of nonlinear parabolic systems. Zbl 0613.65096 Hoff, David; Smoller, Joel 8 1985 Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. Zbl 1178.81205 Finster, Felix; Smoller, Joel 8 2009 On the monotonicity of the time-map. Zbl 0673.34008 Smoller, J.; Wasserman, A. 7 1989 Global solutions of hyperbolic systems of conservation laws in two dependent variables. Zbl 0164.12102 Johnson, J. L.; Smoller, J. A. 7 1968 Contact discontinuities in quasi-linear hyperbolic systems. Zbl 0195.39201 Smoller, J. A. 7 1970 Viscosity matrices for two-dimensional non-linear hyperbolic systems. II. Zbl 0247.35081 Smoller, Joel A.; Conley, Charles C. 7 1972 A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. Zbl 1180.35524 Finster, Felix; Smoller, Joel 7 2008 Singular perturbations and a theorem of Kisynski. Zbl 0135.17502 Smoller, J. A. 6 1965 A uniqueness theorem for Riemann problems. Zbl 0176.09402 Smoller, J. A. 6 1969 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 6 2009 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. 6 1994 The existence of heteroclinic orbits, and applications. Zbl 0314.34051 Conley, Charles C.; Smoller, Joel A. 6 1975 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 6 2000 Shock wave interactions in general relativity. A locally inertial Glimm scheme for spherically symmetric spacetimes. Zbl 1113.83002 Groah, Jeffrey; Smoller, Joel; Temple, Blake 6 2007 Bifurcation and stability of stationary solutions of the Fitz-Hugh-Nagumo equations. Zbl 0605.58031 Conley, C.; Smoller, J. 6 1986 Asymptotic behavior of massless Dirac waves in Schwarzschild geometry. Zbl 1357.58034 Smoller, Joel; Xie, Chunjing 5 2012 Instability of rarefaction shocks in systems of conservation laws. Zbl 0724.76039 Smoller, J. A.; Temple, J. B.; Xin, Z. P. 5 1990 Isolated invariant sets of parameterized systems of differential equations. Zbl 0388.58014 Conley, C.; Smoller, Joel 5 1978 Reissner-Norström-like solutions of the \(SU(2)\) Einstein-Yang/Mills equations. Zbl 0895.53061 Smoller, J. A.; Wasserman, A. G. 5 1997 On the Oppenheimer-Volkoff equations in general relativity. Zbl 0906.35108 Smoller, Joel; Temple, Blake 5 1998 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 4 2000 Topological methods in the theory of shock waves. Zbl 0267.35059 Conley, Charles C.; Smoller, Joel A. 4 1973 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 4 2009 Error bounds for Glimm difference approximations for scalar conservation laws. Zbl 0579.65096 Hoff, David; Smoller, Joel 4 1985 Extendability of solutions of the Einstein-Yang/Mills equations. Zbl 0915.53037 Smoller, J. A.; Wasserman, A. G. 4 1998 Cosmology with a shock-wave. Zbl 1009.83067 Smoller, Joel; Temple, Blake 3 2000 On the Euler-Poisson equations of self-gravitating compressible fluids. Zbl 1252.35230 Luo, Tao; Smoller, Joel 3 2011 Wave front sets and the viscosity method. Zbl 0256.35010 Smoller, Joel A.; Taylor, Michael E. 3 1973 Algebraic and topological invariants for reaction-diffusion equations. Zbl 0533.35050 Conley, Charles C.; Smoller, Joel A. 3 1983 Bifurcation from symmetry. Zbl 0666.35008 Smoller, J.; Wasserman, A. G. 3 1988 The complete solution space for a system of reaction-diffusion equations. Zbl 0561.35041 Smoller, Joel A. 3 1984 Linear stability of the non-extreme Kerr black hole. Zbl 1387.83045 Finster, Felix; Smoller, Joel 11 2018 Existence of magnetic compressible fluid stars. Zbl 1308.35206 Federbush, Paul; Luo, Tao; Smoller, Joel 13 2015 Absence of zeros and asymptotic error estimates for Airy and parabolic cylinder functions. Zbl 1293.33005 Finster, Felix; Smoller, Joel 1 2014 Corrections to the standard model of cosmology. Zbl 1305.83066 Smoller, Joel; Temple, Blake; Vogler, Zeke 1 2013 Asymptotic behavior of massless Dirac waves in Schwarzschild geometry. Zbl 1357.58034 Smoller, Joel; Xie, Chunjing 5 2012 On the Euler-Poisson equations of self-gravitating compressible fluids. Zbl 1252.35230 Luo, Tao; Smoller, Joel 3 2011 Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations. Zbl 1163.85001 Luo, Tao; Smoller, Joel 52 2009 A rigorous treatment of energy extraction from a rotating black hole. Zbl 1200.83068 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 12 2009 Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. Zbl 1178.81205 Finster, Felix; Smoller, Joel 8 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 6 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 4 2009 Nonlinear dynamical stability of Newtonian rotating and non-rotating white dwarfs and rotating supermassive stars. Zbl 1166.35031 Luo, Tao; Smoller, Joel 30 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. 16 2008 A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. Zbl 1180.35524 Finster, Felix; Smoller, Joel 7 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 6 2007 Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 60 2006 Blowup of smooth solutions for relativistic Euler equations. Zbl 1106.35118 Pan, Ronghua; Smoller, Joel A. 30 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. 14 2005 Rotating fluids with self-gravitation in bounded domains. Zbl 1060.76125 Luo, Tao; Smoller, Joel 31 2004 Cosmology, black holes and shock waves beyond the Hubble length. Zbl 1088.83025 Smoller, Joel; Temple, Blake 2 2004 Shock-wave cosmology inside a black hole. Zbl 1064.83041 Smoller, Joel; Temple, Blake 11 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. 25 2002 Non-formation of vacuum states for compressible Navier-Stokes equations. Zbl 0988.76081 Hoff, David; Smoller, Joel 54 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 27 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 20 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 6 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 4 2000 Cosmology with a shock-wave. Zbl 1009.83067 Smoller, Joel; Temple, Blake 3 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 3 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 2 2000 Some recent progress in classical general relativity. Zbl 0984.83003 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 1 2000 Particle-like solutions of the Einstein-Dirac-Maxwell equations. Zbl 0936.83008 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 25 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 12 1999 On the Oppenheimer-Volkoff equations in general relativity. Zbl 0906.35108 Smoller, Joel; Temple, Blake 5 1998 Extendability of solutions of the Einstein-Yang/Mills equations. Zbl 0915.53037 Smoller, J. A.; Wasserman, A. G. 4 1998 Shock-wave solutions in closed form and the Oppenheimer-Snyder limit in general relativity. Zbl 0945.76099 Smoller, Joel; Temple, Blake 2 1998 Reissner-Norström-like solutions of the \(SU(2)\) Einstein-Yang/Mills equations. Zbl 0895.53061 Smoller, J. A.; Wasserman, A. G. 5 1997 General relativistic shock waves that extend the Oppenheimer-Snyder model. Zbl 0888.76096 Smoller, Joel; Temple, Blake 2 1997 Solutions of the Oppenheimer-Volkoff equations inside \(9/8^{ths}\) of the Schwarzschild radius. Zbl 0872.58082 Smoller, Joel; Temple, Blake 1 1997 Multi-dimensional shock-waves for relativistic fluids. Zbl 0883.35078 Smoller, Joel; Temple, Blake 1 1997 Limiting masses of solutions of the Einstein-Yang/Mills equations. Zbl 0886.53056 Smoller, J. A.; Wasserman, A. G. 2 1996 Uniqueness of zero surface gravity \(SU(2)\) Einstein-Yang/Mills black holes. Zbl 0861.53085 Smoller, J. A.; Wasserman, A. G. 1 1996 Regular solutions of the Einstein-Yang-Mills equations. Zbl 0847.35140 Smoller, J. A.; Wasserman, A. G. 9 1995 Shock waves and reaction-diffusion equations. 2nd ed. Zbl 0807.35002 Smoller, Joel 914 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 11 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. 6 1994 Global solutions of the relativistic Euler equations. Zbl 0780.76085 Smoller, Joel; Temple, Blake 99 1993 Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations. Zbl 0778.53026 Smoller, J. A.; Wasserman, A. G. 31 1993 Existence of black hole solutions for the Einstein-Yang/Mills equations. Zbl 0779.53056 Smoller, J. A.; Wasserman, A. G.; Yau, S.-T. 30 1993 Conformal metrics with prescribed Gaussian curvature on \(S^ 2\). Zbl 0783.53010 Cheng, Kuo-Shung; Smoller, Joel A. 9 1993 Smooth static solutions of the Einstein-Yang/Mills equation. Zbl 0763.35097 Smoller, J.; Wasserman, A.; Yau, S. T.; McLeod, B. 2 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. 42 1991 Symmetry-breaking bifurcations. Zbl 0768.35008 Smoller, J.; Wasserman, A. 2 1991 Bifurcation and symmetry-breaking. Zbl 0721.58011 Smoller, J.; Wasserman, Arthur G. 42 1990 On the existence of radial solutions of quasi-linear elliptic equations. Zbl 0719.35027 Kichenassamy, Satyanad; Smoller, Joel 17 1990 Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking. Zbl 0702.35016 Smoller, Joel; Wasserman, Arthur 8 1990 Instability of rarefaction shocks in systems of conservation laws. Zbl 0724.76039 Smoller, J. A.; Temple, J. B.; Xin, Z. P. 5 1990 On the monotonicity of the time-map. Zbl 0673.34008 Smoller, J.; Wasserman, A. 7 1989 Symmetry-breaking under small perturbations. Zbl 0692.35009 Cheng, K.-S.; Smoller, J. A. 1 1989 Symmetry-breaking for systems of nonlinear elliptic equations. Zbl 0834.35043 Cheng, K.-S.; Smoller, J. A. 1 1989 Bifurcation from symmetry. Zbl 0666.35008 Smoller, J.; Wasserman, A. G. 3 1988 Existence of positive solutions for semilinear elliptic equations in general domains. Zbl 0664.35029 Smoller, Joel; Wasserman, Arthur 29 1987 Global existence for systems of parabolic conservation laws in several space variables. Zbl 0624.35044 Hoff, David; Smoller, Joel 21 1987 Global analysis of a system of predator-prey equations. Zbl 0608.92016 Conway, E. D.; Smoller, J. A. 58 1986 Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions. Zbl 0608.35004 Smoller, Joel A.; Wasserman, Arthur G. 33 1986 Symmetry-breaking for positive solutions of semilinear elliptic equations. Zbl 0629.35040 Smoller, Joel; Wasserman, Arthur 24 1986 An existence theorem for positive solutions of semilinear elliptic equations. Zbl 0624.35034 Smoller, Joel; Wasserman, Arthur 11 1986 Bifurcation and stability of stationary solutions of the Fitz-Hugh-Nagumo equations. Zbl 0605.58031 Conley, C.; Smoller, J. 6 1986 Symmetry breaking and nondegenerate solutions of semilinear elliptic equations. Zbl 0606.35006 Smoller, Joel A.; Wasserman, Arthur G. 1 1986 Solutions in the large for certain nonlinear parabolic systems. Zbl 0578.35044 Hoff, David; Smoller, Joel 43 1985 Error bounds for finite-difference approximations for a class of nonlinear parabolic systems. Zbl 0613.65096 Hoff, David; Smoller, Joel 8 1985 Error bounds for Glimm difference approximations for scalar conservation laws. Zbl 0579.65096 Hoff, David; Smoller, Joel 4 1985 Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations. Zbl 0582.35046 Smoller, Joel A.; Wasserman, Arthur G. 35 1984 Generic bifurcation of steady-state solutions. Zbl 0488.58015 Smoller, J.; Wasserman, A. 12 1984 The complete solution space for a system of reaction-diffusion equations. Zbl 0561.35041 Smoller, Joel A. 3 1984 Two lectures on nonlinear parabolic systems. Zbl 0568.35048 Smoller, J. 2 1984 Shock waves and reaction-diffusion equations. Zbl 0508.35002 Smoller, Joel 1,132 1983 The existence of periodic travelling waves for singularly perturbed predator prey equations via the Conley index. Zbl 0464.34031 Gardner, R.; Smoller, J. 24 1983 A class of convergent finite difference schemes for certain nonlinear parabolic systems. Zbl 0535.65063 Nishida, Takaaki; Smoller, Joel 13 1983 Algebraic and topological invariants for reaction-diffusion equations. Zbl 0533.35050 Conley, Charles C.; Smoller, Joel A. 3 1983 Nonlinear partial differential equations. (Proceedings of a Conference held at the University of New Hampshire, Durham/ New Hampshire, June 20- 26, 1982, sponsored by the American Mathematical Society). Zbl 0508.00005 2 1983 Stability and bifurcation of steady-state solutions for predator-prey equations. Zbl 0505.35047 Conway, E.; Gardner, R.; Smoller, J. 32 1982 Predator-prey equations with diffusion. Zbl 0507.35042 Smoller, Joel 9 1982 Dispersion and shock-wave structure. Zbl 0486.35052 Smoller, J. A.; Shapiro, R. 2 1982 Le problème du vide pour les équations de la dynamique des gaz isentropiques. Zbl 0487.35060 Liu, T. P.; Smoller, J. A. 1 1982 Global bifurcation of steady-state solutions. Zbl 0425.34028 Smoller, J.; Wasserman, A. 138 1981 On the vacuum state for the isentropic gas dynamics equations. Zbl 0461.76055 Liu, T.-P.; Smoller, J. A. 101 1980 Non-degenerate solutions of boundary-value problems. Zbl 0429.34024 Smoller, J.; Tromba, A.; Wasserman, A. 20 1980 Topological techniques in reaction-diffusion equations. Zbl 0444.35005 Conley, Charles; Smoller, Joel 12 1980 Remarks on the stability of steady-state solutions of reaction-diffusion equations. Zbl 0458.76078 Conley, C.; Smoller, J. 9 1980 Large time behavior of solutions of systems of nonlinear reaction- diffusion equations. Zbl 0383.35035 Conway, Edward; Hoff, David; Smoller, Joel 170 1978 Qualitative theory of the Fitz Hugh-Nagumo equations. Zbl 0379.92002 Rauch, Jeffrey; Smoller, Joel 64 1978 Isolated invariant sets of parameterized systems of differential equations. Zbl 0388.58014 Conley, C.; Smoller, Joel 5 1978 Positively invariant regions for systems of nonlinear diffusion equations. Zbl 0368.35040 Chueh, K. N.; Conley, C. C.; Smoller, J. A. 245 1977 Mixed problems for nonlinear conservation laws. Zbl 0303.35052 Nishida, Takaaki; Smoller, Joel 34 1977 A comparison technique for systems of reaction-diffusion equations. Zbl 0386.35003 Conway, E. D.; Smoller, J. A. 28 1977 Diffusion and the predator-prey interaction. Zbl 0368.35021 Conway, Edward D.; Smoller, Joel A. 26 1977 Diffusion and the classical ecological interactions: asymptotics. Zbl 0359.35040 Conway, E. D.; Smoller, J. A. 9 1977 Instabilite des solutions stationaires pour des systèmes de reaction- diffusion. Zbl 0363.35018 Bardos, Claude; Smoller, Joel 1 1977 On the structure of magnetohydrodynamic shock waves. II. Zbl 0292.76045 Conley, Charles C.; Smoller, Joel A. 8 1976 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,729 Authors 64 Smoller, Joel Alan 36 Xin, Zhouping 33 Chen, Gui-Qiang G. 28 Huang, Feimin 28 Zhao, Huijiang 27 Zhu, Changjiang 26 Zumbrun, Kevin R. 24 Lu, Yunguang 23 Yang, Tong 21 Wang, Yi 20 Lin, Guo 20 Temple, Blake 19 Bressan, Alberto 19 Chen, Shuxing 19 LeFloch, Philippe Gerard 19 Wasserman, Arthur G. 18 Finster, Felix 18 Shen, Chun 17 Ding, Min 17 Ko, Wonlyul 17 Liu, Tai-Ping 17 Sun, Meina 17 Zhang, Yongqian 16 Ackleh, Azmy S. 16 Ahn, Inkyung 16 Frid, Hermano 16 Hérard, Jean-Marc 16 Luo, Tao 16 Sekhar, T. 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