Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials

DOI10.1016/j.jde.2008.02.006zbMath1151.74029OpenAlexW2137654124MaRDI QIDQ959856

Riccarda Rossi, Elisabetta Rocca

Publication date: 12 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.02.006

zbMATH Keywords

existenceuniquenessglobal well-posedness

Mathematics Subject Classification ID

Related Items (11)

Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials. ⋮ Unsaturated deformable porous media flow with thermal phase transition ⋮ Variational-hemivariational approach to a quasistatic viscoelastic problem with normal compliance, friction and material damage ⋮ Regularity and separation from potential barriers for a non-local phase-field system ⋮ A degenerating PDE system for phase transitions and damage ⋮ Damage processes in thermoviscoelastic materials with damage-dependent thermal expansion coefficients ⋮ Existence of solutions to a phase transition model with microscopic movements ⋮ Analysis of a system related to a model for phase transitions in dissipative isochoric thermoviscoelastic materials ⋮ Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model ⋮ ``Entropic” Solutions to a Thermodynamically Consistent PDE System for Phase Transitions and Damage ⋮ On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids

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