Pointwise Green's function bounds for multidimensional scalar viscous shock fronts
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Publication:1849205
DOI10.1006/jdeq.2001.4125zbMath1028.35108OpenAlexW2086855556MaRDI QIDQ1849205
Publication date: 28 November 2002
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2001.4125
Shocks and singularities for hyperbolic equations (35L67) Fundamental solutions to PDEs (35A08) First-order nonlinear hyperbolic equations (35L60)
Related Items (18)
Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability ⋮ Asymptotic behavior near planar transition fronts for the Cahn-Hilliard equation ⋮ Stability of transition front solutions in multidimensional Cahn-Hilliard systems ⋮ Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems ⋮ Asymptotic behavior near transition fronts for equations of generalized Cahn-Hilliard form ⋮ Linear stability for transition front solutions in multidimensional Cahn-Hilliard systems ⋮ Multidimensional stability of large-amplitude Navier-Stokes shocks ⋮ \(L^2\)-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws ⋮ Wave front tracing and asymptotic stability of planar travelling waves for a two-dimensional shallow river model ⋮ Green’s function and pointwise convergence for compressible Navier-Stokes equations ⋮ Reprint of: ``Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems ⋮ Spectral analysis of planar transition fronts for the Cahn-Hilliard equation ⋮ Nonlinear stability of generalized Benjamin-Bona-Mahony-Burgers shock profiles in several dimensions ⋮ Nonlinear stability for multidimensional fourth-order shock fronts ⋮ Spectral Stability of Periodic Solutions of Viscous Conservation Laws: Large Wavelength Analysis ⋮ ASYMPTOTIC BEHAVIOR OF MULTIDIMENSIONAL SCALAR RELAXATION SHOCKS ⋮ Pointwise Green's function estimates toward stability for multidimensional fourth-order viscous shock fronts ⋮ Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-D convex scalar viscous conservation laws
Cites Work
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- On the stability of waves of nonlinear parabolic systems
- 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
- Linearized Stability of Extreme Shock Profiles in Systems of Conservation Laws with Viscosity
- Stability of Viscous Scalar Shock Fronts in Several Dimensions
- 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
- Viscous and inviscid stability of multidimensional planar shock fronts
- Asymptotic behavior of multidimensional scalar viscous shock fronts
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