Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability
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Publication:3155913
DOI10.1090/S0894-0347-04-00470-9zbMath1058.35163OpenAlexW1725932398MaRDI QIDQ3155913
Mark Williams, Kevin Zumbrun, Olivier Guès, Guy Metivier
Publication date: 4 January 2005
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0894-0347-04-00470-9
Nonlinear parabolic equations (35K55) Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45)
Related Items (16)
Uniform Stability Estimates for Constant-Coefficient Symmetric Hyperbolic Boundary Value Problems ⋮ Spectral stability of small-amplitude viscous shock waves in several space dimensions ⋮ A geometric singular perturbation approach for planar stationary shock waves ⋮ Viscous profiles of vortex patches ⋮ Asymptotic behavior near transition fronts for equations of generalized Cahn-Hilliard form ⋮ Green’s function and pointwise convergence for compressible Navier-Stokes equations ⋮ Galloping instability of viscous shock waves ⋮ Viscous boundary value problems for symmetric systems with variable multiplicities ⋮ Symmetric Euler and Navier-Stokes shocks in stationary barotropic flow on a bounded domain ⋮ Transition to instability of planar viscous shock fronts: The refined stability condition ⋮ Stability of multidimensional viscous shocks for symmetric systems with variable multiplicities ⋮ Effects of surface tension on the stability of dynamical liquid-vapor interfaces ⋮ Existence and stability of multidimensional shock fronts in the vanishing viscosity limit ⋮ Low-frequency stability analysis of periodic traveling-wave solutions of viscous conservation laws in several dimensions ⋮ Long-time stability of multi-dimensional noncharacteristic viscous boundary layers ⋮ Navier–Stokes regularization of multidimensional Euler shocks
Cites Work
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- Asymptotic behavior of solutions for the equations of a viscous heat- conductive gas
- Nonlinear asymptotic stability of viscous shock profiles for conservation laws
- Nonlinear stability of viscous shock waves
- Pointwise estimates on the Green's function for a scalar linear convection-diffusion equation
- Long-time behavior of scalar viscous shock fronts in two dimensions
- On the stability of travelling waves in weighted \(L^ \infty\) spaces
- Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
- Pointwise Green function bounds for shock profiles of systems with real viscosity
- Refined wave-tracking and nonlinear stability of viscous Lax shocks
- Existence and stability of multidimensional shock fronts in the vanishing viscosity limit
- Nonlinear stability of overcompressive shock waves in a rotationally invariant system of viscous conservation laws
- Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
- Nonlinear stability of an undercompressive shock for complex Burgers equation
- Pointwise Green's function bounds for multidimensional scalar viscous shock fronts
- Spectral stability of small shock waves
- An Evans function approach to spectral stability of small-amplitude shock profiles
- Boundary layer and long time stability for multidimensional viscous shocks
- Stability of large-amplitude viscous shock profiles of hyperbolic-parabolic systems
- On nonlinear stability of general undercompressive viscous shock waves
- Stability of undercompressive shock profiles
- Large time behavior of solutions for general quasilinear hyperbolic-parabolic systems of conservation laws
- Stability of Viscous Scalar Shock Fronts in Several Dimensions
- The existence of multidimensional shock fronts
- Stability of viscous shock waves associated with a system of nonstrictly hyperbolic conservations laws
- Existence de chocs faibles pour des systèmes quasi-linéaires hyperboliques multidimensionnels
- Pointwise semigroup methods and stability of viscous shock waves
- Stability of systems of viscous conservation laws
- Pointwise Green's function approach to stability for scalar conservation laws
- On the Convergence to Steady State of Solutions of Nonlinear Hyperbolic-Parabolic Systems
- Pointwise convergence to shock waves for viscous conservation laws
- Viscous Approximation of Strong Shocks of Systems of Conservation Laws
- Pointwise Green's function bounds and stability of relaxation shocks
- Multidimensional viscous shocks II: The small viscosity limit
- Curved shocks as various limits: a boundary problem approach
- Viscous and inviscid stability of multidimensional planar shock fronts
- A note on the stability of travelling wave solutions of Burgers’ equation
- Nonlinear stability of shock waves for viscous conservation laws
- Stability of small-amplitude shock profiles of symmetric hyperbolic-parabolic systems
- The stability of multidimensional shock fronts
- Asymptotic behavior of multidimensional scalar viscous shock fronts
- Stability of Large-Amplitude Shock Profiles of General Relaxation Systems
- Navier–Stokes regularization of multidimensional Euler shocks
- Initial boundary value problems for hyperbolic systems
- Lp ASYMPTOTIC BEHAVIOR OF PERTURBED VISCOUS SHOCK PROFILES
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