Pointwise Green's function approach to stability for scalar conservation laws

DOI<1295::AID-CPA6>3.0.CO;2-M 10.1002/(SICI)1097-0312(199910)52:10<1295::AID-CPA6>3.0.CO;2-MzbMath0935.35012OpenAlexW2153474951MaRDI QIDQ4267509

Peter Howard

Publication date: 9 February 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0312(199910)52:10<1295::aid-cpa6>3.0.co;2-m

zbMATH Keywords

pointwise behaviornonlinear orbital stabilityscalar viscous conservation lawlarge-time and small-time estimatespointwise estimates on the Green's function

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (16)

Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability ⋮ Asymptotic stability and bifurcation of time-periodic solutions for the viscous Burgers' equation ⋮ Asymptotic \(L^p\) stability for transition fronts in Cahn-Hilliard systems ⋮ Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity ⋮ Asymptotic stability analysis for transition front solutions in Cahn-Hilliard systems ⋮ \(L^{2}\)-contraction for shock waves of scalar viscous conservation laws ⋮ Scalar Green function bounds for instantaneous shock location and one-dimensional stability of viscous shock waves ⋮ \(L^p\)-decay rates for perturbations of degenerate scalar viscous shock waves ⋮ Pointwise estimates on travelling wave solution of the scalar viscous conservation laws ⋮ Stability of hydraulic shock profiles ⋮ SHARP POINTWISE BOUNDS FOR PERTURBED VISCOUS SHOCK WAVES ⋮ Pointwise estimates on the Green's function for a scalar linear convection-diffusion equation ⋮ Asymptotic stability of viscous shocks in the modular Burgers equation ⋮ Pointwise Green's function bounds for multidimensional scalar viscous shock fronts ⋮ Asymptotic stability of traveling wave solutions for perturbations with algebraic decay. ⋮ Local tracking and stability for degenerate viscous shock waves

Cites Work

• Pointwise estimates and stability for dispersive-diffusive shock waves

This page was built for publication: Pointwise Green's function approach to stability for scalar conservation laws