Existence and uniqueness results to a phase transition model based on microscopic accelerations and movements

DOI10.1016/S1468-1218(03)00021-XzbMath1092.80006MaRDI QIDQ2385996

Michel Frémond, Fabio Luterotti, Giovanna Bonfanti

Publication date: 22 August 2005

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

existence and uniqueness resultsphase changesmicroscopic accelerations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Second-order nonlinear hyperbolic equations (35L70) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (10)

On a Navier-Stokes-Allen-Cahn model with inertial effects ⋮ Positivity of the temperature for phase transitions with micro-movements ⋮ On weak martingale solutions to a stochastic Allen-Cahn-Navier-Stokes model with inertial effects ⋮ A stochastic Allen–Cahn–Navier–Stokes model with inertial effects driven by multiplicative noise of jump type ⋮ Global solution to a generalized nonisothermal Ginzburg-Landau system. ⋮ Well-posedness results for a model of damage in thermoviscoelastic materials ⋮ A thermodynamic approach to non-isothermal phase-field evolution in continuum physics ⋮ Well-posedness results and asymptotic behaviour for a phase transition model taking into account microscopic accelerations ⋮ WELL-POSEDNESS OF A PHASE TRANSITION MODEL WITH THE POSSIBILITY OF VOIDS ⋮ The Cahn-Hilliard-de Gennes and generalized Penrose-Fife models for polymer phase separation

Cites Work

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• Global existence of a solution to a phase field model for supercooling
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