Well-posedness of a modified initial-boundary value problem on stability of shock waves in a viscous gas. I.

DOI10.1016/j.jmaa.2006.08.006zbMath1117.35045OpenAlexW1988446803MaRDI QIDQ879125

L. O. Baldan, D. L. Tkachev, Alexander Blokhin

Publication date: 4 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.08.006

zbMATH Keywords

well-posednessLyapunov's stabilityinitial-boundary-value problemstability of shock wavesGibbs relation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65)

Related Items

Well-posedness of a modified initial-boundary value problem on stability of shock waves in a viscous gas. II, Formations of Transitional Zones in Shock Wave with Saddle-Node Bifurcations

Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• Uniqueness of the classical solution of a mixed problem for equations of gas dynamics with boundary conditions on the shock wave
• Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data
• On the structure of magnetohydrodynamic shock waves. II
• On stability of shock waves in magnetohydrodynamics with anisotropic pressure
• Global solutions for an extended class of hyperbolic systems of conservation laws
• Hyperbolic systems of conservation laws II
• The existence of multidimensional shock fronts
• Numerical Computation of Two-Dimensional Viscous Blunt Body Flows with an Impinging Shock
• Viscous and inviscid stability of multidimensional planar shock fronts
• Shock waves for compressible navier‐stokes equations are stable
• The stability of multidimensional shock fronts
• On the structure of magnetohydrodynamic shock waves
• On a modified shock front problem for the compressible Navier-Stokes equations
• Solutions in the large for nonlinear hyperbolic systems of equations
• Decay of solutions of systems of hyperbolic conservation laws
• The Existence and Limit Behavior of the One-Dimensional Shock Layer
• On stability of shock waves in a compressible viscous heat conducting gas
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item