Riemann boundary value problems and reflection of shock for the Chaplygin gas

DOI10.1007/s11425-012-4393-zzbMath1239.35094OpenAlexW2262718954MaRDI QIDQ424312

Aifang Qu, Shuxing Chen

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4393-z

zbMATH Keywords

Chaplygin gasRiemann boundary value problemwave interactionEuler systemreflection of shock

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Self-similar solutions to PDEs (35C06)

Related Items (13)

The two dimensional gas expansion problem of the Euler equations for a class of pressure laws ⋮ Subsonic solutions to a shock diffraction problem by a convex cornered wedge for the pressure gradient system ⋮ The Riemann problem for the Chaplygin gas equations with a source term ⋮ Interactions of rarefaction waves and rarefaction shocks of the two-dimensional compressible Euler equations with general equation of state ⋮ On the expansion of a wedge of van der Waals gas into a vacuum. II ⋮ The exact Riemann solutions to the generalized Chaplygin gas equations with friction ⋮ Stability of the Riemann solutions for a Chaplygin gas ⋮ Piston problems of two-dimensional Chaplygin gas ⋮ Two-dimensional pseudosteady flows around a sharp corner ⋮ Global solutions to a class of two-dimensional Riemann problems for the Euler equations with a general equation of state ⋮ Supersonic flow of a Chaplygin gas past a delta wing ⋮ Two dimensional Riemann-type problem and shock diffraction for the Chaplygin gas ⋮ On the expansion of a wedge of van der Waals gas into a vacuum

Cites Work

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