Weakly stable multidimensional shocks

DOI10.1016/j.anihpc.2003.04.001zbMath1072.35120OpenAlexW2025684803MaRDI QIDQ1888393

Jean-François Coulombel

Publication date: 23 November 2004

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2004__21_4_401_0

zbMATH Keywords

linear stabilityisentropic gas dynamicssymmetrizers

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (23)

REFLECTION OF DISCONTINUITIES FOR NONLINEAR WEAKLY STABLE BOUNDARY VALUE PROBLEMS ⋮ On well-posedness of the plasma-vacuum interface problem: the case of non-elliptic interface symbol ⋮ On weak stability of shock waves in 2D compressible elastodynamics ⋮ Linear stability of compressible vortex sheets in two-dimensional elastodynamics ⋮ Loss of derivatives for hyperbolic boundary problems with constant coefficients ⋮ Persistence of the steady planar normal shock structure in 3‐D unsteady potential flows ⋮ Regularity of weakly well posed non characteristic boundary value problems ⋮ Stabilization effect of elasticity on three-dimensional compressible vortex sheets ⋮ Weakly stable hyperbolic boundary problems with large oscillatory coefficients: Simple cascades ⋮ Stability of contact discontinuities in three-dimensional compressible steady flows ⋮ The influence of surface tension and configurational forces on the stability of liquid-vapor interfaces ⋮ Nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime ⋮ On Compressible and Incompressible Vortex Sheets ⋮ Existence and Stability of Compressible and Incompressible Current-Vortex Sheets ⋮ Hyperbolic boundary problems with large oscillatory coefficients: multiple amplification ⋮ Kreiss symmetrizer and boundary conditions for the Euler-Korteweg system in a half space ⋮ The existence of current-vortex sheets in ideal compressible magnetohydrodynamics ⋮ Linear stability of compressible vortex sheets in 2D elastodynamics: variable coefficients ⋮ Singular pseudodifferential calculus for wavetrains and pulses ⋮ TWO-DIMENSIONAL VORTEX SHEETS FOR THE NONISENTROPIC EULER EQUATIONS: LINEAR STABILITY ⋮ Structural Stability of Supersonic Contact Discontinuities in Three-Dimensional Compressible Steady Flows ⋮ Well-posedness of hyperbolic initial boundary value problems ⋮ Weak stability of transonic contact discontinuities in three-dimensional steady non-isentropic compressible Euler flows

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