Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit

DOI10.1017/S0308210500023428zbMath0866.76075MaRDI QIDQ5691330

Marshall Slemrod

Publication date: 28 January 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceexistence of solutionsequation of stateinviscid fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

• Unnamed Item
• Unnamed Item
• Self-similar fluid-dynamic limits for the Broadwell system
• A limiting ``viscosity approach to the Riemann problem for materials exhibiting change of phase
• Admissible wave fans in nonlinear hyperbolic systems
• The global weak solutions of compressible Euler equation with spherical symmetry
• The Riemann problem for certain classes of hyperbolic systems of conservation laws
• Structure of solutions of the Riemann problem for hyperbolic systems of conservation laws
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method
• The air wave surrounding an expanding sphere