$L^\infty$ Solutions for a Model of Nonisothermal Polytropic Gas Flow

DOI10.1137/110824218zbMath1252.35197arXiv1009.1458OpenAlexW1989354107MaRDI QIDQ3116282

Helge Holden, Hermano Frid, Kenneth Hvistendahl Karlsen

Publication date: 22 February 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1458

zbMATH Keywords

compensated compactnessLagrangian coordinatesGodunov schemesFourier lawLax-Friedrichs schemes

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Global weak solutions for a nonlinear hyperbolic system ⋮ SPATIALLY PERIODIC SOLUTIONS FOR GAS FLOWS WITH PRESSURE DEPENDING ON A VARIABLE COEFFICIENT

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