Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations

[1]  Yachun Li,et al.  Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations , 2011 .

[2]  S. Ukai,et al.  A symmetrization of the relativistic Euler equations in several spatial variables , 2008, 0812.4001.

[3]  Wancheng Sheng,et al.  Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations , 2008 .

[4]  Yan-Ni Dou,et al.  Global existence of shock front solutions in 1-dimensional piston problem in the relativistic Euler equations , 2008 .

[5]  Yachun Li,et al.  Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations , 2006 .

[6]  Angelo Marcello Anile,et al.  Relativistic fluids and magneto-fluids , 2005 .

[7]  Libo Wang,et al.  GLOBAL STABILITY OF SOLUTIONS WITH DISCONTINUOUS INITIAL DATA CONTAINING VACUUM STATES FOR THE RELATIVISTIC EULER EQUATIONS , 2005 .

[8]  Yachun Li,et al.  Global existence of the entropy solutions to the isentropic relativistic Euler equations , 2005 .

[9]  J. Smoller,et al.  Blowup of Smooth Solutions for Relativistic Euler Equations , 2005, gr-qc/0503080.

[10]  D. Feng,et al.  Global entropy solutions to the relativistic Euler equations for a class of large initial data , 2005 .

[11]  Changjiang Zhu,et al.  Existence of global smooth solution to the relativistic Euler equations , 2005 .

[12]  Gui-Qiang G. Chen,et al.  Relativistic Euler equations for isentropic fluids: Stability of Riemann solutions with large oscillation , 2004 .

[13]  H. Frid,et al.  Spatially Periodic Solutions in Relativistic Isentropic Gas Dynamics , 2004 .

[14]  Gui-Qiang G. Chen,et al.  Stability of Riemann solutions with large oscillation for the relativistic Euler equations , 2004 .

[15]  Song-Sun Lin,et al.  On spherically symmetric solutions of the relativistic Euler equation , 2004 .

[16]  Shamsul Qamar,et al.  Kinetic schemes for the relativistic gas dynamics , 2004, Numerische Mathematik.

[17]  Gerald Warnecke,et al.  Second-order accurate kinetic schemes for the ultra-relativistic Euler equations , 2003 .

[18]  Gerald Warnecke,et al.  Kinetic schemes for the ultra-relativistic Euler equations , 2003 .

[19]  T. Makino,et al.  Spherically symmetric solutions to the compressible Euler equation with an asymptotic γ-law , 2003 .

[20]  A. Rendall.  Local and Global Existence Theorems for the Einstein Equations , 2000, Living reviews in relativity.

[21]  Yan Guo,et al.  Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics , 1998, math/9807136.

[22]  Kiyoshi Mizohata.  Global solutions to the relativistic Euler equation with spherical symmetry , 1997 .

[23]  Vijay Pant.  Global entropy solutions for isentropic relativistic fluid dynamics , 1996 .

[24]  J. Chen.  CONSERVATION LAWS FOR THE RELATIVISTIC P-SYSTEM , 1995 .

[25]  Blake Temple,et al.  Global solutions of the relativistic Euler equations , 1993 .

[26]  S. Ukai,et al.  Sur la solution à support compact de l’equation d’Euler compressible , 1986 .

[27]  K. Thompson,et al.  The special relativistic shock tube , 1986, Journal of Fluid Mechanics.

[28]  E. Liang.  Relativistic simple waves: Shock damping and entropy production , 1977 .

[29]  Tosio Kato,et al.  The Cauchy problem for quasi-linear symmetric hyperbolic systems , 1975 .

[30]  A. Taub.  Approximate Solutions of the Einstein Equations for Isentropic Motions of Plane-Symmetric Distributions of Perfect Fluids , 1957 .

[31]  A. H. Taub,et al.  Relativistic Rankine-Hugoniot Equations , 1948 .

[32]  Yachun Li,et al.  Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations , 2006 .

[33]  S. Ukai,et al.  Non-relativistic global limits of weak solutions of the relativistic Euler equation , 1998 .

[34]  S. Ukai,et al.  Local smooth solutions of the relativistic Euler equation , 1995 .

[35]  S. Ukai,et al.  Local smooth solutions of the relativistic Euler equation. II. , 1995 .

[36]  A. Majda.  Compressible fluid flow and systems of conservation laws in several space variables , 1984 .

[37]  G. Whitham.  Linear and non linear waves , 1974 .

[38]  L. Landau,et al.  RELATIVISTIC FLUID DYNAMICS , 1959 .