Spatially periodic solutions in relativistic isentropic gas dynamics

DOI10.1007/s00220-004-1148-xzbMath1072.35117OpenAlexW1992698805MaRDI QIDQ1766911

Hermano Frid, Mikhail Perepelitsa

Publication date: 2 March 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-004-1148-x

zbMATH Keywords

entropy solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) PDEs in connection with relativity and gravitational theory (35Q75) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (11)

Development of singularities in the relativistic Euler equations ⋮ Time-periodic isentropic supersonic Euler flows in one-dimensional ducts driving by periodic boundary conditions ⋮ Existence of periodic solutions to an isothermal relativistic Euler system ⋮ Global entropy solutions of the Cauchy problem for nonhomogeneous relativistic Euler system ⋮ An extension of Bakhvalov’s theorem for systems of conservation laws with damping ⋮ Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations ⋮ Two dimensional relativistic Euler equations in a convex duct ⋮ Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations ⋮ Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations ⋮ \(L^{1}\) stability of spatially periodic solutions in relativistic gas dynamics ⋮ SPATIALLY PERIODIC SOLUTIONS FOR GAS FLOWS WITH PRESSURE DEPENDING ON A VARIABLE COEFFICIENT

Cites Work

• Existence in the large for quasilinear hyperbolic conservation laws
• Convergence of approximate solutions to conservation laws
• Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions
• Decay of entropy solutions of nonlinear conservation laws
• Global solutions of the relativistic Euler equations
• Periodic solutions of conservation laws constructed through Glimm scheme
• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Decay of solutions of systems of nonlinear hyperbolic conservation laws
• Global existence of the regular solution of a quasilinear hyperbolic system
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