Perturbation Effects on the Decay of Discontinuous Solutions of Nonlinear First Order Wave Equations

DOI10.1137/0119026zbMath0207.10301OpenAlexW2076881224MaRDI QIDQ5607408

James D. Murray

Publication date: 1970

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0119026

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Perturbations in context of PDEs (35B20)

Related Items

Source-type solutions of a singular conservation law with absorption, Finite extinction time for solutions of nonlinear parabolic equations, Unbounded solutions for conservation laws with source, New singular travelling waves for convection–diffusion–reaction equations, Blow-up of solutions for a class of balance laws, A characteristic based numerical method with tracking for nonlinear wave equations, Finite extinction time for a nonlinear parabolic neumann boundary value problem, Small-time global null controllability of generalized Burgers’ equations, Generalized Burgers equations and Euler–Painlevé transcendents. I, On the generalized Burgers equation, Waves on glaciers, Large-time behaviour of solutions of the inviscid non-planar Burgers equation, A generalised Cole-Hopf transformation for nonlinear parabolic and hyperbolic equations, On a class of perturbed conservation laws