Phase change problems with temperature dependent constraints for the volume fraction velocities

DOI10.1016/j.na.2004.08.041zbMath1058.35085OpenAlexW2084405400MaRDI QIDQ1764855

Masayasu Aso, Nobuyuki Kenmochi, Michel Frémond

Publication date: 22 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.08.041

zbMATH Keywords

subdifferential operatordoubly nonlinear evolution equationSchauder's fixed point theory

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) PDEs with multivalued right-hand sides (35R70) Initial value problems for second-order parabolic systems (35K45)

Related Items (9)

Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint ⋮ Global attractors for doubly nonlinear evolution equations with non-monotone perturbations ⋮ Periodic solutions for doubly nonlinear evolution equations ⋮ Doubly nonlinear evolution equations with non-monotone perturbations in reflexive Banach spaces ⋮ Unidirectional evolution equations of diffusion type ⋮ Subdifferential calculus and doubly nonlinear evolution equations in \(L^p\)-spaces with variable exponents ⋮ Existence and asymptotic analysis of a phase field model for supercooling ⋮ Quasivariational evolution inequalities for a class of reaction-diffusion systems ⋮ Allen–Cahn equation with strong irreversibility

Cites Work

• A nonlinear system for phase change with dissipation
• Global existence of a strong solution to the one-dimensional full model for irreversible phase transitions
• Viscosity approach to modelling non-isothermal diffusive phase separation
• Convergence of convex sets and of solutions of variational inequalities
• A nonlinear system for irreversible phase changes
• Global solution to a phase field model with irreversible and constrained phase evolution
• EXISTENCE RESULT FOR A NONLINEAR MODEL RELATED TO IRREVERSIBLE PHASE CHANGES
• Global existence of a solution to a phase field model for supercooling
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