Local tracking and stability for degenerate viscous shock waves
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Publication:1867231
DOI10.1016/S0022-0396(02)00032-3zbMath1019.35064MaRDI QIDQ1867231
Publication date: 2 April 2003
Published in: Journal of Differential Equations (Search for Journal in Brave)
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) Initial value problems for first-order hyperbolic systems (35L45)
Related Items (6)
A stability index for detonation waves in Majda's model for reacting flow ⋮ Pointwise Green's Function Estimates Toward Stability for Degenerate Viscous Shock Waves ⋮ Asymptotic behavior near transition fronts for equations of generalized Cahn-Hilliard form ⋮ Asymptotic \(L^p\) stability for transition fronts in Cahn-Hilliard systems ⋮ \(L^p\)-decay rates for perturbations of degenerate scalar viscous shock waves ⋮ Pointwise Green's function estimates toward stability for multidimensional fourth-order viscous shock fronts
Cites Work
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- Nonlinear asymptotic stability of viscous shock profiles for conservation laws
- Pointwise estimates on the Green's function for a scalar linear convection-diffusion equation
- Pointwise estimates and stability for dispersive-diffusive shock waves
- Nonlinear stability of an undercompressive shock for complex Burgers equation
- On nonlinear stability of general undercompressive viscous shock waves
- Pointwise estimates and stability for degenerate viscous shock waves
- Pointwise semigroup methods and stability of viscous shock waves
- Pointwise Green's function approach to stability for scalar conservation laws
- Pointwise convergence to shock waves for viscous conservation laws
- Existence and stability of standing hole solutions to complex Ginzburg-Landau equations
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