Asymptotic behavior of multidimensional scalar viscous shock fronts
From MaRDI portal
Publication:4761503
DOI10.1512/iumj.2000.49.1942zbMath0967.76049OpenAlexW2082054948MaRDI QIDQ4761503
Publication date: 30 August 2001
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1512/iumj.2000.49.1942
perturbationslinearized equations\(L(p)\)-asymptotic behaviourpointwise Green's function boundsscalar viscous shock front
Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05)
Related Items
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 ⋮ Evans function analysis of the stability of non-adiabatic flames ⋮ Asymptotic behavior near transition fronts for equations of generalized Cahn-Hilliard form ⋮ Multidimensional stability of large-amplitude Navier-Stokes shocks ⋮ Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations ⋮ Planar Viscous Shocks with Periodic Perturbations for Scalar Multidimensional Viscous Conservation Laws ⋮ \(L^2\)-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws ⋮ Asymptotic stability of scalar multi-D inviscid shock waves ⋮ Burgers type equations, Gelfand's problem and Schumpeterian dynamics ⋮ Stability of planar rarefaction wave to the 3D bipolar Vlasov–Poisson–Boltzmann system ⋮ Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability ⋮ Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation ⋮ 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 ⋮ Spectral analysis of planar transition fronts for the Cahn-Hilliard equation ⋮ Existence and stability of planar shocks of viscous scalar conservation laws with space-periodic flux ⋮ Lp ENERGY METHOD FOR MULTI-DIMENSIONAL VISCOUS CONSERVATION LAWS AND APPLICATION TO THE STABILITY OF PLANAR WAVES ⋮ Nonlinear stability of generalized Benjamin-Bona-Mahony-Burgers shock profiles in several dimensions ⋮ Corner defects in almost planar interface propagation ⋮ Computing the refined stability condition ⋮ Stability of undercompressive shock profiles ⋮ Stability and asymptotic behavior of periodic traveling wave solutions of viscous conservation laws in several dimensions ⋮ Nonlinear stability of periodic traveling wave solutions of systems of viscous conservation laws in the generic case ⋮ Nonlinear stability for multidimensional fourth-order shock fronts ⋮ ASYMPTOTIC BEHAVIOR OF MULTIDIMENSIONAL SCALAR RELAXATION SHOCKS ⋮ Pointwise stability of shock wave for 2D anisotropic viscous conservation laws with large perturbation ⋮ Asymptotic and viscous stability of large-amplitude solutions of a hyperbolic system arising from biology ⋮ Cauchy problem of a system of parabolic conservation laws arising from the singular Keller-Segel model in multi-dimensions ⋮ Pointwise Green's function bounds for multidimensional scalar viscous shock fronts ⋮ 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