On a system of nonlinear PDE's for phase transitions with vector order parameter and convective effect

DOI10.1016/j.cam.2004.09.022zbMath1063.76099OpenAlexW2061937624MaRDI QIDQ1775590

Emil Minchev

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.09.022

zbMATH Keywords

existence of solutionfixed point arguments,Yosida approximation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stefan problems, phase changes, etc. (80A22) Liquid-gas two-phase flows, bubbly flows (76T10) Diffusion and convection (76R99)

Cites Work

• Differential models of hysteresis
• A filtration model with hysteresis
• Hysteresis and phase transitions
• A hysteresis approach to phase-field models
• Models of phase transitions
• Parabolic PDEs with hysteresis and quasivariational inequalities
• Asymptotic stability for nonlinear PDEs with hysteresis
• A nonlinear evolution problem describing multi-component phase changes with dissipation
• Subdifferential operator approach to a class of nonlinear systems for Stefan problems with phase relaxation
• A phase-field model with temperature dependent constraint
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