A nonlinear system for irreversible phase changes

DOI10.1017/S0956792500000073zbMath0713.35045MaRDI QIDQ3198223

Hamid Ghidouche, Dominique Blanchard

Publication date: 1990

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessnonlinear heat equationsubdifferentialsirreversible phase changes

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Classical and relativistic thermodynamics (80A10)

Related Items

On the null controllability of heat equation with memory, Error Control Of A Nonlinear Evolution Problem Related To Phase Transitions, NONLINEAR SYSTEMS DESCRIBING PHASE TRANSITION MODELS COMPATIBLE WITH THERMODYNAMICS, A nonlinear evolution problem describing multi-component phase changes with dissipation, Approximate controllability of a parabolic integrodifferential equation, Approximate controllability of a parabolic equation with memory, Global Small data Solutions for a system of semilinear heat equations and the corresponding system of damped wave equations with nonlinear memory, Controllability of the impulsive semilinear heat equation with memory and delay, Global existence and blow-up analysis to a degenerate reaction-diffusion system with nonlinear memory, Numerical blow-up analysis of linearly implicit Euler method for nonlinear parabolic integro-differential equations, Phase change problems with temperature dependent constraints for the volume fraction velocities, Controllability for parabolic equations with nonlinear memory, Irreversible Phase Transitions in Steel, A free boundary problem for a reaction-diffusion system with nonlinear memory, Singularity analysis for a semilinear integro-differential equation with nonlinear memory boundary

Cites Work

• Unnamed Item
• Familles d'opérateurs maximaux monotones et mesurabilite
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces