Existence of globally bounded continuous solutions for nonisentropic gas dynamics equations

DOI10.1006/jmaa.1997.5389zbMath0880.35096OpenAlexW1992982245MaRDI QIDQ1359629

Tong Yang, Longwei Lin, Hongxia Liu

Publication date: 12 February 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3a3948ce267d7a7684a6b6b89e20ac76f120efd6

zbMATH Keywords

a priori estimatesinitial-boundary value problemsfixed point theoremLagrangian coordinatesone-dimensional gas dynamicssmooth and piecewise smooth solutions

Mathematics Subject Classification ID

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

Related Items

Singularity Formation for the Compressible Euler Equations ⋮ Singularity formation for one dimensional full Euler equations ⋮ Classical solutions for 1D compressible Euler equations with over damping ⋮ Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts ⋮ Global existence of classical solutions for the gas flows near vacuum through ducts expanding with space and time ⋮ Formation of Singularities and Existence of Global Continuous Solutions for the Compressible Euler Equations ⋮ SHOCK FORMATION IN THE COMPRESSIBLE EULER EQUATIONS AND RELATED SYSTEMS ⋮ Shock-free solutions of the compressible Euler equations

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