Weak Stability of Nonuniformly Stable Multidimensional Shocks

DOI10.1137/S0036141001392803zbMath1029.35171MaRDI QIDQ4785728

Jean-François Coulombel

Publication date: 5 January 2003

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

zbMATH Keywords

conservation lawsphase transitionsisentropic gas dynamicsstability of shock wavesisothermal van der Waals fluidmultidimensional shocksplanar Lax shock

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Liquid-gas two-phase flows, bubbly flows (76T10) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (11)

Weakly stable multidimensional shocks ⋮ Weak stability of the plasma-vacuum interface problem ⋮ On weak stability of shock waves in 2D compressible elastodynamics ⋮ Linear stability of compressible vortex sheets in two-dimensional elastodynamics ⋮ Persistence of the steady planar normal shock structure in 3‐D unsteady potential flows ⋮ Regularity of weakly well posed non characteristic boundary value problems ⋮ Non-Homogeneous Boundary Value Problems for Linear Dispersive Equations ⋮ On Compressible and Incompressible Vortex Sheets ⋮ Effects of surface tension on the stability of dynamical liquid-vapor interfaces ⋮ Linear stability of compressible vortex sheets in 2D elastodynamics: variable coefficients ⋮ Existence of compressible current-vortex sheets: Variable coefficients linear analysis

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