Edit Profile Smoller, Joel Alan Compute Distance To: Compute Author ID: smoller.joel-a Published as: Smoller, J.; Smoller, J. A.; Smoller, Joel; Smoller, Joel A.; Smoller, Joël External Links: MGP · Wikidata · dblp · GND Documents Indexed: 177 Publications since 1965, including 5 Books Reviewing Activity: 2 Reviews all top 5 Co-Authors 17 single-authored 34 Wasserman, Arthur G. 28 Temple, Blake 25 Finster, Felix 19 Conley, Charles Cameron 19 Yau, Shing-Tung 9 Conway, Edward Daire 8 Kamran, Niky 7 Hoff, David 6 Luo, Tao 6 Nishida, Takaaki 4 Cheng, Kuo-Shung 4 Johnson, Julie L. 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 Johnson, John L. 1 Matano, Hiroshi 1 Moler, Cleve B. 1 Pan, Ronghua 1 Rauch, Jeffrey B. 1 Sarason, Leonard 1 Shapiro, Ralph 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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 3,827 times in 2,926 Documents Cited by ▼ Year ▼ Shock waves and reaction-diffusion equations. Zbl 0508.35002Smoller, Joel 1,007 1983 Shock waves and reaction-diffusion equations. 2nd ed. Zbl 0807.35002Smoller, Joel 622 1994 Positively invariant regions for systems of nonlinear diffusion equations. Zbl 0368.35040Chueh, K. N.; Conley, C. C.; Smoller, J. A. 228 1977 Large time behavior of solutions of systems of nonlinear reaction- diffusion equations. Zbl 0383.35035Conway, Edward; Hoff, David; Smoller, Joel 150 1978 Global bifurcation of steady-state solutions. Zbl 0425.34028Smoller, J.; Wasserman, A. 126 1981 Solutions in the large for some nonlinear hyperbolic conservation laws. Zbl 0267.35058Nishida, Takaaki; Smoller, Joel A. 84 1973 Global solutions of the relativistic Euler equations. Zbl 0780.76085Smoller, Joel; Temple, Blake 76 1993 On the vacuum state for the isentropic gas dynamics equations. Zbl 0461.76055Liu, T.-P.; Smoller, J. A. 75 1980 Predator-prey equations with diffusion. Zbl 0507.35042Smoller, Joel 51 1982 Qualitative theory of the Fitz Hugh-Nagumo equations. Zbl 0379.92002Rauch, Jeffrey; Smoller, Joel 49 1978 Global solutions of the Cauchy problem for quasi-linear first-order equations in several space variables. Zbl 0138.34701Conway, Edward; Smoller, Joel 46 1966 Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 45 2006 Non-formation of vacuum states for compressible Navier-Stokes equations. Zbl 0988.76081Hoff, David; Smoller, Joel 42 2001 Global analysis of a system of predator-prey equations. Zbl 0608.92016Conway, E. D.; Smoller, J. A. 42 1986 Global solutions for an extended class of hyperbolic systems of conservation laws. Zbl 0167.10204Smoller, J. A.; Johnson, J. L. 41 1969 Solutions in the large for certain nonlinear parabolic systems. Zbl 0578.35044Hoff, David; Smoller, Joel 40 1985 On the solution of the Riemann problem with general step data for an extended class of hyperbolic systems. Zbl 0185.34501Smoller, J. A. 39 1969 Smooth static solutions of the Einstein/Yang-Mills equations. Zbl 0755.53061Smoller, Joel A.; Wassermann, Arthur G.; Yau, S.-T.; McLeod, J. B. 35 1991 Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations. Zbl 1163.85001Luo, Tao; Smoller, Joel 34 2009 Bifurcation and symmetry-breaking. Zbl 0721.58011Smoller, J.; Wasserman, Arthur G. 34 1990 Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations. Zbl 0582.35046Smoller, Joel A.; Wasserman, Arthur G. 34 1984 Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions. Zbl 0608.35004Smoller, Joel A.; Wasserman, Arthur G. 33 1986 Mixed problems for nonlinear conservation laws. Zbl 0303.35052Nishida, Takaahr; Smoller, Joel 33 1977 Stability and bifurcation of steady-state solutions for predator-prey equations. Zbl 0505.35047Conway, E.; Gardner, R.; Smoller, J. 30 1982 Existence of positive solutions for semilinear elliptic equations in general domains. Zbl 0664.35029Smoller, Joel; Wasserman, Arthur 26 1987 Rotating fluids with self-gravitation in bounded domains. Zbl 1060.76125Luo, Tao; Smoller, Joel 24 2004 Symmetry-breaking for positive solutions of semilinear elliptic equations. Zbl 0629.35040Smoller, Joel; Wasserman, Arthur 24 1986 Topological techniques in reaction-diffusion equations. Zbl 0444.35005Conley, Charles; Smoller, Joel 24 1980 A comparison technique for systems of reaction-diffusion equations. Zbl 0386.35003Conway, E. D.; Smoller, J. A. 24 1977 Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations. Zbl 0778.53026Smoller, J. A.; Wasserman, A. G. 23 1993 Diffusion and the predator-prey interaction. Zbl 0368.35021Conway, Edward D.; Smoller, Joel A. 22 1977 Blowup of smooth solutions for relativistic Euler equations. Zbl 1106.35118Pan, Ronghua; Smoller, Joel A. 21 2006 Existence of black hole solutions for the Einstein-Yang/Mills equations. Zbl 0779.53056Smoller, J. A.; Wasserman, A. G.; Yau, S.-T. 21 1993 Global existence for systems of parabolic conservation laws in several space variables. Zbl 0624.35044Hoff, David; Smoller, Joel 21 1987 Viscosity matrices for two-dimensional nonlinear hyperbolic systems. Zbl 0201.43301Conley, Ch. C.; Smoller, J. A. 21 1970 Nonlinear dynamical stability of Newtonian rotating and non-rotating white dwarfs and rotating supermassive stars. Zbl 1166.35031Luo, Tao; Smoller, Joel 20 2008 Non-degenerate solutions of boundary-value problems. Zbl 0429.34024Smoller, J.; Tromba, A.; Wasserman, A. 20 1980 Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry. Zbl 1026.83029Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 19 2002 Shock waves as limits of progressive wave solutions of higher order equations. II. Zbl 0225.35067Smoller, J.; Conley, C. 19 1972 On the structure of magnetohydrodynamic shock waves. Zbl 0284.76080Conley, Charles C.; Smoller, Joel A. 18 1974 Shock waves as limits of progressive wave solutions of higher order equations. Zbl 0233.35063Conley, Charles C.; Smoller, Joel A. 18 1971 Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry. Zbl 1049.83014Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 17 2000 On the existence of radial solutions of quasi-linear elliptic equations. Zbl 0719.35027Kichenassamy, Satyanad; Smoller, Joel 17 1990 Viscosity matrices for two-dimensional nonlinear hyperbolic systems. Zbl 0204.11303Conley, Charles C.; Smoller, Joel A. 17 1970 An integral spectral representation of the propagator for the wave equation in the Kerr geometry. Zbl 1089.83017Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 14 2005 The existence of periodic travelling waves for singularly perturbed predator prey equations via the Conley index. Zbl 0464.34031Gardner, R.; Smoller, J. 14 1983 Erratum: Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83014Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 13 2008 Non-existence of time-periodic solutions of the Dirac equation in a Reissner- Nordström black hole background. Zbl 0983.83021Finster, Felix; Smoller, Joel; Yau, Shing-Tung 13 2000 Particle-like solutions of the Einstein-Dirac-Maxwell equations. Zbl 0936.83008Finster, Felix; Smoller, Joel; Yau, Shing-Tung 13 1999 A class of convergent finite difference schemes for certain nonlinear parabolic systems. Zbl 0535.65063Nishida, Takaaki; Smoller, Joel 13 1983 Generic bifurcation of steady-state solutions. Zbl 0488.58015Smoller, J.; Wasserman, A. 12 1984 Global solutions for certain systems of quasi-linear hyperbolic equations. Zbl 0165.11402Johnson, J. L.; Smoller, J. A. 12 1967 An existence theorem for positive solutions of semilinear elliptic equations. Zbl 0624.35034Smoller, Joel; Wasserman, Arthur 10 1986 A rigorous treatment of energy extraction from a rotating black hole. Zbl 1200.83068Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 9 2009 Shock-wave cosmology inside a black hole. Zbl 1064.83041Smoller, Joel; Temple, Blake 9 2003 Diffusion and the classical ecological interactions: asymptotics. Zbl 0359.35040Conway, E. D.; Smoller, J. A. 9 1977 Singular perturbations of Cauchy’s problem. Zbl 0151.20302Smoller, J. A. 9 1965 Linear stability of the non-extreme Kerr black hole. Zbl 1387.83045Finster, Felix; Smoller, Joel 8 2018 Regular solutions of the Einstein-Yang-Mills equations. Zbl 0847.35140Smoller, J. A.; Wasserman, A. G. 8 1995 Shock-wave solutions of the Einstein equations: The Oppenheimer-Snyder model of gravitational collapse extended to the case of non-zero pressure. Zbl 0824.53080Smoller, Joel; Temple, Blake 8 1994 Conformal metrics with prescribed Gaussian curvature on \(S^ 2\). Zbl 0783.53010Cheng, Kuo-Shung; Smoller, Joel A. 8 1993 Error bounds for finite-difference approximations for a class of nonlinear parabolic systems. Zbl 0613.65096Hoff, David; Smoller, Joel 8 1985 Remarks on the stability of steady-state solutions of reaction-diffusion equations. Zbl 0458.76078Conley, C.; Smoller, J. 8 1980 On the structure of magnetohydrodynamic shock waves. II. Zbl 0292.76045Conley, Charles C.; Smoller, Joel A. 8 1976 Elementary interactions in quasi-linear hyperbolic systems. Zbl 0192.44901Moler, C.; Smoller, J. 8 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 0157.16701Conway, E.; Smoller, J. 8 1967 Existence of magnetic compressible fluid stars. Zbl 1308.35206Federbush, Paul; Luo, Tao; Smoller, Joel 7 2015 Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. Zbl 1178.81205Finster, Felix; Smoller, Joel 7 2009 Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking. Zbl 0702.35016Smoller, Joel; Wasserman, Arthur 7 1990 On the monotonicity of the time-map. Zbl 0673.34008Smoller, J.; Wasserman, A. 7 1989 The complete solution space for a system of reaction-diffusion equations. Zbl 0561.35041Smoller, Joel A. 7 1984 Viscosity matrices for two-dimensional non-linear hyperbolic systems. II. Zbl 0247.35081Smoller, Joel A.; Conley, Charles C. 7 1972 Global solutions of hyperbolic systems of conservation laws in two dependent variables. Zbl 0164.12102Johnson, J. L.; Smoller, J. A. 7 1968 Expanding wave solutions of the Einstein equations that induce an anomalous acceleration into the standard model of cosmology. Zbl 1203.83004Temple, Blake; Smoller, Joel 6 2009 A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. Zbl 1180.35524Finster, Felix; Smoller, Joel 6 2008 Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system. Zbl 0939.83037Finster, Felix; Smoller, Joel; Yau, Shing-Tung 6 1999 An investigation of the limiting behaviour of particle-like solutions to the Einstein-Yang/Mills equations and a new black hole solution. Zbl 0809.53079Smoller, J. A.; Wasserman, A. G. 6 1994 Bifurcation and stability of stationary solutions of the Fitz-Hugh-Nagumo equations. Zbl 0605.58031Conley, C.; Smoller, J. 6 1986 A uniqueness theorem for Riemann problems. Zbl 0176.09402Smoller, J. A. 6 1969 Singular perturbations and a theorem of Kisynski. Zbl 0135.17502Smoller, J. A. 6 1965 Shock wave interactions in general relativity. A locally inertial Glimm scheme for spherically symmetric spacetimes. Zbl 1113.83002Groah, Jeffrey; Smoller, Joel; Temple, Blake 5 2007 Instability of rarefaction shocks in systems of conservation laws. Zbl 0724.76039Smoller, J. A.; Temple, J. B.; Xin, Z. P. 5 1990 Geometrical optics and the corner problem. Zbl 0296.35053Sarason, L.; Smoller, J. A. 5 1974 Linear waves in the Kerr geometry: a mathematical voyage to black hole physics. Zbl 1177.83082Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 4 2009 Erratum: ”Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry”. Zbl 1049.83015Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 4 2000 Error bounds for Glimm difference approximations for scalar conservation laws. Zbl 0579.65096Hoff, David; Smoller, Joel 4 1985 Topological methods in the theory of shock waves. Zbl 0267.35059Conley, Charles C.; Smoller, Joel A. 4 1973 Contact discontinuities in quasi-linear hyperbolic systems. Zbl 0195.39201Smoller, J. A. 4 1970 Cosmology with a shock-wave. Zbl 1009.83067Smoller, Joel; Temple, Blake 3 2000 On the Oppenheimer-Volkoff equations in general relativity. Zbl 0906.35108Smoller, Joel; Temple, Blake 3 1998 Bifurcation from symmetry. Zbl 0666.35008Smoller, J.; Wasserman, A. G. 3 1988 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 0508.00005Smoller, Joel A. (ed.) 3 1983 Isolated invariant sets of parameterized systems of differential equations. Zbl 0388.58014Conley, C.; Smoller, Joel 3 1978 Remarks on traveling wave solutions of non-linear diffusion equations. Zbl 0341.35048Conley, C.; Smoller, Joel 3 1976 Wave front sets and the viscosity method. Zbl 0256.35010Smoller, Joel A.; Taylor, Michael E. 3 1973 Cosmology, black holes and shock waves beyond the Hubble length. Zbl 1088.83025Smoller, Joel; Temple, Blake 2 2004 Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells. Zbl 1016.83027Finster, Felix; Smoller, Joel; Yau, Shing-Tung 2 2000 The interaction of Dirac particles with non-abelian gauge fields and gravity-bound states. Zbl 0984.81079Finster, Felix; Smoller, Joel; Yau, Shing-Tung 2 2000 General relativistic shock waves that extend the Oppenheimer-Snyder model. Zbl 0888.76096Smoller, Joel; Temple, Blake 2 1997 Limiting masses of solutions of the Einstein-Yang/Mills equations. Zbl 0886.53056Smoller, J. A.; Wasserman, A. G. 2 1996 Linear stability of the non-extreme Kerr black hole. Zbl 1387.83045Finster, Felix; Smoller, Joel 8 2018 Erratum to: “Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry”. Zbl 1366.81241Finster, Felix; Smoller, Joel 1 2016 Existence of magnetic compressible fluid stars. Zbl 1308.35206Federbush, Paul; Luo, Tao; Smoller, Joel 7 2015 Absence of zeros and asymptotic error estimates for Airy and parabolic cylinder functions. Zbl 1293.33005Finster, Felix; Smoller, Joel 1 2014 Corrections to the standard model of cosmology. Zbl 1305.83066Smoller, Joel; Temple, Blake; Vogler, Zeke 1 2013 Asymptotic behavior of massless Dirac waves in Schwarzschild geometry. Zbl 1357.58034Smoller, Joel; Xie, Chunjing 1 2012 On the Euler-Poisson equations of self-gravitating compressible fluids. Zbl 1252.35230Luo, Tao; Smoller, Joel 1 2011 Existence and nonlinear stability of rotating star solutions of the compressible Euler-Poisson equations. Zbl 1163.85001Luo, Tao; Smoller, Joel 34 2009 A rigorous treatment of energy extraction from a rotating black hole. Zbl 1200.83068Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 9 2009 Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. Zbl 1178.81205Finster, Felix; Smoller, Joel 7 2009 Expanding wave solutions of the Einstein equations that induce an anomalous acceleration into the standard model of cosmology. Zbl 1203.83004Temple, Blake; Smoller, Joel 6 2009 Linear waves in the Kerr geometry: a mathematical voyage to black hole physics. Zbl 1177.83082Finster, 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 1166.35031Luo, Tao; Smoller, Joel 20 2008 Erratum: Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83014Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 13 2008 A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. Zbl 1180.35524Finster, Felix; Smoller, Joel 6 2008 Shock wave interactions in general relativity. A locally inertial Glimm scheme for spherically symmetric spacetimes. Zbl 1113.83002Groah, Jeffrey; Smoller, Joel; Temple, Blake 5 2007 Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 45 2006 Blowup of smooth solutions for relativistic Euler equations. Zbl 1106.35118Pan, Ronghua; Smoller, Joel A. 21 2006 An integral spectral representation of the propagator for the wave equation in the Kerr geometry. Zbl 1089.83017Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 14 2005 Rotating fluids with self-gravitation in bounded domains. Zbl 1060.76125Luo, Tao; Smoller, Joel 24 2004 Cosmology, black holes and shock waves beyond the Hubble length. Zbl 1088.83025Smoller, Joel; Temple, Blake 2 2004 Shock-wave cosmology inside a black hole. Zbl 1064.83041Smoller, Joel; Temple, Blake 9 2003 Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry. Zbl 1026.83029Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 19 2002 Non-formation of vacuum states for compressible Navier-Stokes equations. Zbl 0988.76081Hoff, David; Smoller, Joel 42 2001 Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry. Zbl 1049.83014Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 17 2000 Non-existence of time-periodic solutions of the Dirac equation in a Reissner- Nordström black hole background. Zbl 0983.83021Finster, Felix; Smoller, Joel; Yau, Shing-Tung 13 2000 Erratum: ”Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry”. Zbl 1049.83015Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 4 2000 Cosmology with a shock-wave. Zbl 1009.83067Smoller, Joel; Temple, Blake 3 2000 Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells. Zbl 1016.83027Finster, Felix; Smoller, Joel; Yau, Shing-Tung 2 2000 The interaction of Dirac particles with non-abelian gauge fields and gravity-bound states. Zbl 0984.81079Finster, Felix; Smoller, Joel; Yau, Shing-Tung 2 2000 Some recent progress in classical general relativity. Zbl 0984.83003Finster, Felix; Smoller, Joel; Yau, Shing-Tung 1 2000 The interaction of Dirac particles with non-abelian gauge fields and gravity – black holes. Zbl 0971.83037Finster, Felix; Smoller, Joel; Yau, Shing-Tung 1 2000 Particle-like solutions of the Einstein-Dirac-Maxwell equations. Zbl 0936.83008Finster, Felix; Smoller, Joel; Yau, Shing-Tung 13 1999 Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system. Zbl 0939.83037Finster, Felix; Smoller, Joel; Yau, Shing-Tung 6 1999 On the Oppenheimer-Volkoff equations in general relativity. Zbl 0906.35108Smoller, Joel; Temple, Blake 3 1998 Extendability of solutions of the Einstein-Yang/Mills equations. Zbl 0915.53037Smoller, J. A.; Wasserman, A. G. 1 1998 Shock-wave solutions in closed form and the Oppenheimer-Snyder limit in general relativity. Zbl 0945.76099Smoller, Joel; Temple, Blake 1 1998 General relativistic shock waves that extend the Oppenheimer-Snyder model. Zbl 0888.76096Smoller, Joel; Temple, Blake 2 1997 Reissner-Norström-like solutions of the \(SU(2)\) Einstein-Yang/Mills equations. Zbl 0895.53061Smoller, J. A.; Wasserman, A. G. 1 1997 Multi-dimensional shock-waves for relativistic fluids. Zbl 0883.35078Smoller, Joel; Temple, Blake 1 1997 Solutions of the Oppenheimer-Volkoff equations inside \(9/8^{ths}\) of the Schwarzschild radius. Zbl 0872.58082Smoller, Joel; Temple, Blake 1 1997 Limiting masses of solutions of the Einstein-Yang/Mills equations. Zbl 0886.53056Smoller, J. A.; Wasserman, A. G. 2 1996 Uniqueness of zero surface gravity \(SU(2)\) Einstein-Yang/Mills black holes. Zbl 0861.53085Smoller, J. A.; Wasserman, A. G. 1 1996 Regular solutions of the Einstein-Yang-Mills equations. Zbl 0847.35140Smoller, J. A.; Wasserman, A. G. 8 1995 Shock waves and reaction-diffusion equations. 2nd ed. Zbl 0807.35002Smoller, Joel 622 1994 Shock-wave solutions of the Einstein equations: The Oppenheimer-Snyder model of gravitational collapse extended to the case of non-zero pressure. Zbl 0824.53080Smoller, Joel; Temple, Blake 8 1994 An investigation of the limiting behaviour of particle-like solutions to the Einstein-Yang/Mills equations and a new black hole solution. Zbl 0809.53079Smoller, J. A.; Wasserman, A. G. 6 1994 Global solutions of the relativistic Euler equations. Zbl 0780.76085Smoller, Joel; Temple, Blake 76 1993 Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations. Zbl 0778.53026Smoller, J. A.; Wasserman, A. G. 23 1993 Existence of black hole solutions for the Einstein-Yang/Mills equations. Zbl 0779.53056Smoller, J. A.; Wasserman, A. G.; Yau, S.-T. 21 1993 Conformal metrics with prescribed Gaussian curvature on \(S^ 2\). Zbl 0783.53010Cheng, Kuo-Shung; Smoller, Joel A. 8 1993 Smooth static solutions of the Einstein-Yang/Mills equation. Zbl 0763.35097Smoller, J.; Wasserman, A.; Yau, S. T.; McLeod, B. 2 1992 Smooth static solutions of the Einstein/Yang-Mills equations. Zbl 0755.53061Smoller, Joel A.; Wassermann, Arthur G.; Yau, S.-T.; McLeod, J. B. 35 1991 Symmetry-breaking bifurcations. Zbl 0768.35008Smoller, J.; Wasserman, A. 2 1991 Bifurcation and symmetry-breaking. Zbl 0721.58011Smoller, J.; Wasserman, Arthur G. 34 1990 On the existence of radial solutions of quasi-linear elliptic equations. Zbl 0719.35027Kichenassamy, Satyanad; Smoller, Joel 17 1990 Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking. Zbl 0702.35016Smoller, Joel; Wasserman, Arthur 7 1990 Instability of rarefaction shocks in systems of conservation laws. Zbl 0724.76039Smoller, J. A.; Temple, J. B.; Xin, Z. P. 5 1990 On the monotonicity of the time-map. Zbl 0673.34008Smoller, J.; Wasserman, A. 7 1989 Symmetry-breaking under small perturbations. Zbl 0692.35009Cheng, K.-S.; Smoller, J. A. 1 1989 Symmetry-breaking for systems of nonlinear elliptic equations. Zbl 0834.35043Cheng, K.-S.; Smoller, J. A. 1 1989 Bifurcation from symmetry. Zbl 0666.35008Smoller, J.; Wasserman, A. G. 3 1988 Existence of positive solutions for semilinear elliptic equations in general domains. Zbl 0664.35029Smoller, Joel; Wasserman, Arthur 26 1987 Global existence for systems of parabolic conservation laws in several space variables. Zbl 0624.35044Hoff, David; Smoller, Joel 21 1987 Global analysis of a system of predator-prey equations. Zbl 0608.92016Conway, E. D.; Smoller, J. A. 42 1986 Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions. Zbl 0608.35004Smoller, Joel A.; Wasserman, Arthur G. 33 1986 Symmetry-breaking for positive solutions of semilinear elliptic equations. Zbl 0629.35040Smoller, Joel; Wasserman, Arthur 24 1986 An existence theorem for positive solutions of semilinear elliptic equations. Zbl 0624.35034Smoller, Joel; Wasserman, Arthur 10 1986 Bifurcation and stability of stationary solutions of the Fitz-Hugh-Nagumo equations. Zbl 0605.58031Conley, C.; Smoller, J. 6 1986 Solutions in the large for certain nonlinear parabolic systems. Zbl 0578.35044Hoff, David; Smoller, Joel 40 1985 Error bounds for finite-difference approximations for a class of nonlinear parabolic systems. Zbl 0613.65096Hoff, David; Smoller, Joel 8 1985 Error bounds for Glimm difference approximations for scalar conservation laws. Zbl 0579.65096Hoff, David; Smoller, Joel 4 1985 Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations. Zbl 0582.35046Smoller, Joel A.; Wasserman, Arthur G. 34 1984 Generic bifurcation of steady-state solutions. Zbl 0488.58015Smoller, J.; Wasserman, A. 12 1984 The complete solution space for a system of reaction-diffusion equations. Zbl 0561.35041Smoller, Joel A. 7 1984 Two lectures on nonlinear parabolic systems. Zbl 0568.35048Smoller, J. 2 1984 Shock waves and reaction-diffusion equations. Zbl 0508.35002Smoller, Joel 1,007 1983 The existence of periodic travelling waves for singularly perturbed predator prey equations via the Conley index. Zbl 0464.34031Gardner, R.; Smoller, J. 14 1983 A class of convergent finite difference schemes for certain nonlinear parabolic systems. Zbl 0535.65063Nishida, Takaaki; Smoller, Joel 13 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 0508.00005Smoller, Joel A. (ed.) 3 1983 Algebraic and topological invariants for reaction-diffusion equations. Zbl 0533.35050Conley, Charles C.; Smoller, Joel A. 2 1983 Predator-prey equations with diffusion. Zbl 0507.35042Smoller, Joel 51 1982 Stability and bifurcation of steady-state solutions for predator-prey equations. Zbl 0505.35047Conway, E.; Gardner, R.; Smoller, J. 30 1982 Dispersion and shock-wave structure. Zbl 0486.35052Smoller, J. A.; Shapiro, R. 2 1982 Le problème du vide pour les équations de la dynamique des gaz isentropiques. Zbl 0487.35060Liu, T. P.; Smoller, J. A. 1 1982 Global bifurcation of steady-state solutions. Zbl 0425.34028Smoller, J.; Wasserman, A. 126 1981 On the vacuum state for the isentropic gas dynamics equations. Zbl 0461.76055Liu, T.-P.; Smoller, J. A. 75 1980 Topological techniques in reaction-diffusion equations. Zbl 0444.35005Conley, Charles; Smoller, Joel 24 1980 Non-degenerate solutions of boundary-value problems. Zbl 0429.34024Smoller, J.; Tromba, A.; Wasserman, A. 20 1980 Remarks on the stability of steady-state solutions of reaction-diffusion equations. Zbl 0458.76078Conley, C.; Smoller, J. 8 1980 Large time behavior of solutions of systems of nonlinear reaction- diffusion equations. Zbl 0383.35035Conway, Edward; Hoff, David; Smoller, Joel 150 1978 Qualitative theory of the Fitz Hugh-Nagumo equations. Zbl 0379.92002Rauch, Jeffrey; Smoller, Joel 49 1978 Isolated invariant sets of parameterized systems of differential equations. Zbl 0388.58014Conley, C.; Smoller, Joel 3 1978 Positively invariant regions for systems of nonlinear diffusion equations. Zbl 0368.35040Chueh, K. N.; Conley, C. C.; Smoller, J. A. 228 1977 Mixed problems for nonlinear conservation laws. Zbl 0303.35052Nishida, Takaahr; Smoller, Joel 33 1977 A comparison technique for systems of reaction-diffusion equations. Zbl 0386.35003Conway, E. D.; Smoller, J. A. 24 1977 Diffusion and the predator-prey interaction. Zbl 0368.35021Conway, Edward D.; Smoller, Joel A. 22 1977 Diffusion and the classical ecological interactions: asymptotics. Zbl 0359.35040Conway, E. D.; Smoller, J. A. 9 1977 Instabilite des solutions stationaires pour des systèmes de reaction- diffusion. Zbl 0363.35018Bardos, Claude; Smoller, Joel 1 1977 On the structure of magnetohydrodynamic shock waves. II. Zbl 0292.76045Conley, Charles C.; Smoller, Joel A. 8 1976 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,092 Authors 64 Smoller, Joel Alan 34 Xin, Zhouping 25 Chen, Gui-Qiang G. 24 Huang, Feimin 24 Zhao, Huijiang 23 Yang, Tong 22 Zumbrun, Kevin R. 20 Zhu, Changjiang 19 Chen, Shuxing 19 Lu, Yunguang 19 Wasserman, Arthur G. 18 Finster, Felix 18 LeFloch, Philippe Gerard 18 Wang, Yi 18 Wu, Jianhua 17 Bressan, Alberto 17 Liu, Tai-Ping 16 Ko, Wonlyul 16 Luo, Tao 16 Temple, Blake 15 Frid, Hermano 14 Feireisl, Eduard 14 Fiedler, Bernold 14 Lin, Guo 14 Shao, Zhiqiang 13 Fitzgibbon, William Edward 13 Risebro, Nils Henrik 13 Shen, Chun 13 Shi, Junping 13 Shivaji, Ratnasingham 13 Zhang, Yongqian 12 Ahn, Inkyung 12 Colombo, Rinaldo M. 12 Corli, Andrea 12 Ding, Min 12 Hérard, Jean-Marc 12 Marchesin, Dan 12 Mischaikow, Konstantin 12 Rocha, Carlos 12 Wang, Shin-Hwa 12 Yau, Shing-Tung 11 Asakura, Fumioki 11 Chen, Geng 11 Hong, John Meng-Kai 11 Marcati, Pierangelo 11 Sekhar, T. Raja 10 Ackleh, Azmy S. 10 Aniţa, Sebastian 10 Guo, Zongming 10 Hoff, David 10 Li, Dening 10 Li, Hailiang 10 Li, Yachun 10 Marciniak-Czochra, Anna K. 10 Popov, Boyan 9 Freistühler, Heinrich 9 Guermond, Jean-Luc 9 Li, Wan-Tong 9 Lin, Song-Sun 9 Pan, Ronghua 9 Qu, Aifang 9 Ryu, Kimun 9 Sun, Meina 9 Tadmor, Eitan 9 Yin, Gan 9 Zheng, Sining 8 Amadori, Debora 8 Cosner, Chris 8 DiPerna, Ronald J. 8 Jenssen, Helge Kristian 8 Leung, Anthony Wing-Kwok 8 Li, Jiequan 8 Liu, Hailiang 8 Matsumura, Akitaka 8 Mimura, Masayasu 8 Natalini, Roberto 8 Nie, Hua 8 Sheng, Wancheng 8 Wang, Zhian 8 Warnecke, Gerald G. 8 Wei, Junjie 8 Yoshida, Natsumi 8 Zeng, Huihui 7 Capasso, Vincenzo 7 Duan, Renjun 7 Fellner, Klemens 7 Gardner, Robert A. 7 Gladiali, Francesca 7 Hsiao, Ling 7 Jang, Juhi 7 Li, Lige 7 Morgan, Jeff J. 7 Nolasco de Carvalho, Alexandre 7 Parshad, Rana D. 7 Rasulov, Mahir A. 7 Razani, Abdolrahman 7 Rojas-Palma, Alejandro 7 Rothe, Franz 7 Rybicki, Sławomir Maciej 7 Saldanha da Gama, Rogério Martins ...and 2,992 more Authors all top 5 Cited in 334 Serials 334 Journal of Differential Equations 214 Journal of Mathematical Analysis and Applications 133 Archive for Rational Mechanics and Analysis 97 Nonlinear Analysis. 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Series S 6 Kinetic and Related Models 6 Annals of PDE 5 International Journal for Numerical Methods in Fluids 5 Transport Theory and Statistical Physics 5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 5 Applied Mathematics and Optimization ...and 234 more Serials all top 5 Cited in 51 Fields 2,211 Partial differential equations (35-XX) 748 Fluid mechanics (76-XX) 501 Biology and other natural sciences (92-XX) 297 Numerical analysis (65-XX) 294 Ordinary differential equations (34-XX) 200 Relativity and gravitational theory (83-XX) 178 Dynamical systems and ergodic theory (37-XX) 94 Global analysis, analysis on manifolds (58-XX) 82 Operator theory (47-XX) 81 Mechanics of deformable solids (74-XX) 79 Statistical mechanics, structure of matter (82-XX) 77 Classical thermodynamics, heat transfer (80-XX) 73 Differential geometry (53-XX) 67 Quantum theory (81-XX) 63 Probability theory and stochastic processes (60-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 47 Systems theory; control (93-XX) 41 Integral equations (45-XX) 40 Astronomy and astrophysics (85-XX) 23 Mechanics of particles and systems (70-XX) 23 Optics, electromagnetic theory (78-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Operations research, mathematical programming (90-XX) 15 General topology (54-XX) 14 Functional analysis (46-XX) 12 Geophysics (86-XX) 9 Computer science (68-XX) 8 Real functions (26-XX) 8 Difference and functional equations (39-XX) 8 Algebraic topology (55-XX) 7 Manifolds and cell complexes (57-XX) 6 History and biography (01-XX) 5 Measure and integration (28-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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