Vacuum states and global stability of rarefaction waves for compressible flow

DOI10.4310/MAA.2000.v7.n2.a5zbMath1009.76077OpenAlexW168720733MaRDI QIDQ1601129

Gui-Qiang G. Chen

Publication date: 19 June 2002

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

Full work available at URL: https://doi.org/10.4310/maa.2000.v7.n2.a5

zbMATH Keywords

global stabilityspherical symmetrycompressible Navier-Stokes equationsentropy solutionscavitationcompressible Euler equationsvacuum statesrarefaction wavesisentropic fluidsnon-isentropic fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (6)

Multidimensional Conservation Laws: Overview, Problems, and Perspective ⋮ \(L^2\)-type contraction for systems of conservation laws ⋮ Long-time stability in systems of conservation laws, using relative entropy/energy ⋮ Interaction of rarefaction waves and vacuum in a convex duct ⋮ Approximation and Existence of Vacuum States in the Multiscale Flows of Compressible Euler Equations ⋮ Localised relative energy and finite speed of propagation for compressible flows

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