A phase transition model with the entropy balance

DOI10.1002/mma.366zbMath1017.35039OpenAlexW2029640801MaRDI QIDQ4707198

Elena Bonetti, Michel Frémond

Publication date: 10 June 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.366

zbMATH Keywords

maximum principleparabolic systemphase transition model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Maximum principles in context of PDEs (35B50)

Related Items (13)

Time-discretization and global solution for a doubly nonlinear Volterra equation ⋮ Global solution to a singular integro-differential system related to the entropy balance ⋮ Global existence for a singular phase field system related to a sliding mode control problem ⋮ Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics ⋮ Mathematical modeling of phase transition and separation in fluids: a unified approach ⋮ A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions ⋮ A PHASE FIELD MODEL WITH THERMAL MEMORY GOVERNED BY THE ENTROPY BALANCE ⋮ Global existence for a phase separation system deduced from the entropy balance ⋮ Solid-liquid phase changes with different densities ⋮ Existence and boundedness of solutions for a singular phase field system ⋮ Existence of solutions to a phase transition model with microscopic movements ⋮ WELL-POSEDNESS OF A PHASE TRANSITION MODEL WITH THE POSSIBILITY OF VOIDS ⋮ Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model

Cites Work

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• Global existence for a class of generalized systems for irreversible phase changes
• Some results on the multi-phase stefan problem
• Asymptotics for a parabolic double obstacle problem
• EXISTENCE RESULT FOR A NONLINEAR MODEL RELATED TO IRREVERSIBLE PHASE CHANGES
• NONLINEAR SYSTEMS DESCRIBING PHASE TRANSITION MODELS COMPATIBLE WITH THERMODYNAMICS
• A phase-field model with temperature dependent constraint
• Global existence of a solution to a phase field model for supercooling

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