Stability of viscous shocks on finite intervals

DOI10.1007/s00205-007-0073-5zbMath1139.35013OpenAlexW2095098078MaRDI QIDQ2465676

Gunilla Kreiss, Jens Lorenz, Heinz-Otto Kreiss

Publication date: 7 January 2008

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-007-0073-5

zbMATH Keywords

stabilityfinite intervalsviscous shocks

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65) Interfacial stability and instability in hydrodynamic stability (76E17) Initial value problems for second-order parabolic equations (35K15) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

Splitting scheme for the stability of strong shock profile ⋮ Continuous spectra and numerical eigenvalues ⋮ Semigroup estimates and fast-slow dynamics in parabolic-hyperbolic systems ⋮ Slow dynamics in reaction–diffusion systems

Cites Work

• Convergence to steady state of solutions of Burgers' equation
• Refined wave-tracking and nonlinear stability of viscous Lax shocks
• Multiple steady states for characteristic initial value problems
• Stability of viscous profiles: Proofs via dichotomies
• Pointwise semigroup methods and stability of viscous shock waves
• Stability of traveling waves: dichotomies and eigenvalue conditions on finite intervals
• Stability of systems of viscous conservation laws
• On the Convergence to Steady State of Solutions of Nonlinear Hyperbolic-Parabolic Systems

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