On a Burgers-Stefan problem

DOI10.1088/0951-7715/13/2/308zbMath0943.35109OpenAlexW1969896427MaRDI QIDQ4946696

Mark J. Ablowitz, Silvana De Lillo

Publication date: 2000

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/13/2/308

zbMATH Keywords

existenceuniquenessBurgers equationStefan problemnonlinear integral equationshock solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items

On a One-Phase Stefan Problem in Nonlinear Conduction ⋮ On a class of moving boundary problems for the potential mkdV equation: conjugation of Bäcklund and reciprocal transformations ⋮ An inverse problem for a nonlinear diffusion-convection equation ⋮ A class of moving boundary problems with a source term: application of a reciprocal transformation ⋮ Exact solutions of Burgers equation with moving boundary ⋮ On a class of reciprocal Stefan moving boundary problems ⋮ Solutions of a Burgers-Stefan problem ⋮ Nonlinear diffusion in arterial tissues: a free boundary problem ⋮ Dirichlet-to-Neumann Map for a Nonlinear Diffusion Equation ⋮ A Two-Phase Free Boundary Problem for the Nonlinear Heat Equation ⋮ On the Burgers equation with moving boundary ⋮ On a free boundary problem in a nonlinear diffusive-convective system