Nonlinear equations of evolution and a generalized Stefan problem

DOI10.1016/0022-0396(77)90193-0zbMath0411.35054OpenAlexW2061850268MaRDI QIDQ5906218

Joseph W. Jerome

Publication date: 1977

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90193-0

zbMATH Keywords

discretizationconvergence ratesmaximum principlesweak solutionstwo-phase Stefan problemKirchhoff transformationdistribution equationGalerkin estimatesinitial and Dirichlet boundary conditionsmethod of horizontal linesnonlinear equations of evolution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Maximum principles in context of PDEs (35B50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for linear higher-order PDEs (35G10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Higher-order parabolic equations (35K25) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (4)

On a coupled Stefan-like problem in thermo-visco-plastic rheology ⋮ Numerical analysis of a transient non-linear axisymmetric eddy current model ⋮ The method of lines and the nonlinear Klein-Gordon equation ⋮ Quasilinear hyperbolic and parabolic systems: Contractive semidiscretizations and convergence of the discrete viscosity method

Cites Work

• Existence and Approximation of Weak Solutions of Nonlinear Dirichlet Problems with Discontinuous Coefficients
• Continuous differentiability of the free boundary for weak solutions of the Stefan problem
• Analyse Numerique d’un Probleme de Stefan a Deux Phases Par une Methode d’Elements Finis
• The Stefan Problem in Several Space Variables
• One Dimensional Stefan Problems with Nonmonotone Free Boundary
• Multidimensional Stefan Problems
• Sur l'approximation de certaines équations d'évolution linéaires et non linéaires
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonlinear equations of evolution and a generalized Stefan problem