SPATIALLY PERIODIC SOLUTIONS FOR GAS FLOWS WITH PRESSURE DEPENDING ON A VARIABLE COEFFICIENT

DOI10.1142/S0219891613500057zbMath1273.35032MaRDI QIDQ2836512

Hilde Sande, Hermano Frid, Nils Henrik Risebro

Publication date: 3 July 2013

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

zbMATH Keywords

polytropic gasLagrangian coordinatesGlimm's methodnon-homogeneous entropy inequality

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

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• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Global existence of the regular solution of a quasilinear hyperbolic system
• Solutions in the large for some nonlinear hyperbolic conservation laws

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