The Stefan problem for a hyperbolic heat equation

DOI10.1016/0022-247X(89)90334-XzbMath0695.35218WikidataQ116009608 ScholiaQ116009608MaRDI QIDQ909915

Avner Friedman, Bei Hu

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Stefan problemFourier's lawhyperbolic heat equationjump relationsNeumann- or Dirichlet-type boundary conditionssuccessive integration

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Heat equation (35K05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for first-order hyperbolic systems (35L50) Free boundary problems for PDEs (35R35)

Related Items (14)

Hyperbolic phase change problems in heat conduction with memory ⋮ Existence and stability results for the hyperbolic Stefan problem with relaxation ⋮ Stefan problem, traveling fronts, and epidemic spread ⋮ Local and global solvability of the quasilinear hyperbolic Stefan problem on the line ⋮ A hyperbolic Stefan problem ⋮ An existence result for a hyperbolic phase transition problem with memory ⋮ Well-posedness for the classical Stefan problem and the zero surface tension limit ⋮ Corrections to: ``A hyperbolic Stefan problem ⋮ A One-Phase Hyperbolic Stefan Problem in Multi-Dimensional Space ⋮ Asymptotic analysis of the Guyer-Krumhansl-Stefan model for nanoscale solidification ⋮ Singular perturbations for variational inequalities with time-dependent constraints ⋮ Modelling ultra-fast nanoparticle melting with the Maxwell-Cattaneo equation ⋮ Free boundary problem for a one-dimensional transport equation ⋮ Convergence to Steady-state and Boundary Layer Profiles in a Linear Chromatography System

Cites Work

• Unnamed Item
• Unnamed Item
• A general theory of heat conduction with finite wave speeds
• On second sound in materials with memory
• A Hyperbolic Heat Transfer Problem with Phase Changes
• The Stefan Problem in Several Space Variables
• On Heat Conduction and Wave Propagation in Rigid Solids
• A hyperbolic Stefan problem

This page was built for publication: The Stefan problem for a hyperbolic heat equation