Double Shock Fronts for Hyperbolic Systems of Conservation Laws in Multidimensional Space

DOI10.2307/2001282zbMath0704.35093OpenAlexW4236380991MaRDI QIDQ3483713

Unnamed Author, Bui An Ton

Publication date: 1989

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001282

zbMATH Keywords

existenceconservation lawsCauchy problemfree boundary problemEuler equationsdouble shock frontisotropic gas

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Free boundary problems for PDEs (35R35)

Related Items (13)

Discontinuous solutions to the Euler equations for a Van der Waals fluid ⋮ Multiple shock fronts for hyperbolic conservation laws in higher dimensional space ⋮ Initial-boundary value problem for Euler equations with incompatible data ⋮ Generalised Riemann problem for Euler system ⋮ Compatibility of jump Cauchy data for non-isentropic Euler equations ⋮ Cauchy problem with general discontinuous initial data along a smooth curve for 2-d Euler system ⋮ Existence of multidimensional shock waves and phase boundaries ⋮ Cauchy Problem of Hyperbolic Conservation Laws in Multidimensional Space With Intersecting Jump Initial Data ⋮ A One-Phase Hyperbolic Stefan Problem in Multi-Dimensional Space ⋮ Conical shock wave for non-isentropic compressible Euler system of equations ⋮ On the initial-boundary value problem for the Euler equations in presence of a rarefaction wave ⋮ Solutions of the Cauchy problem for the 2-D Euler system with fan-shaped structure ⋮ The existence and stability of conic shock waves.

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