Approximation and Existence of Vacuum States in the Multiscale Flows of Compressible Euler Equations

DOI10.1137/19M1290723zbMath1439.35380MaRDI QIDQ5222116

Hsin-Yi Lee, Jay Chu, John M. Hong

Publication date: 31 March 2020

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

zbMATH Keywords

vacuumCauchy problemRiemann problemhyperbolic systems of conservation lawscompressible Euler equationsgeneralized Glimm schemeregularized Riemann problemhyperbolic composite waveshyperbolic resonant systems

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Critical exponents in context of PDEs (35B33) Hyperbolic conservation laws (35L65) Asymptotic expansions of solutions to PDEs (35C20) Weak solutions to PDEs (35D30) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Euler equations (35Q31) Singular hyperbolic equations (35L81)

Related Items (3)

\(L^1\) convergences and convergence rates of approximate solutions for compressible Euler equations near vacuum ⋮ 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

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