Solutions of an advected phase field system with low regularity velocity
DOI10.1090/S0002-9939-2012-11467-4zbMath1262.35193MaRDI QIDQ4907126
Bianca Morelli Rodolfo Calsavara, José Luiz Boldrini
Publication date: 4 March 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
convectionadvectionsolidificationnon-isothermal solidification/meltingsingular Navier-Stokes systemtwo possible crystallization states
Stefan problems, phase changes, etc. (80A22) Fixed-point theorems (47H10) Free convection (76R10) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs in connection with statistical mechanics (35Q82)
Cites Work
- On a system coupling two-crystallization Allen-Cahn equations and a singular Navier-Stokes system
- Classes of solutions of linear systems of partial differential equations of parabolic type
- A semidiscretization scheme for a phase-field type model for solidification
- Analysis of a two-phase field model for the solidification of an alloy
- An analysis of a phase field model of a free boundary
- Compact sets in the space \(L^ p(0,T;B)\)
- A bidimensional phase-field model with convection for change phase of an alloy
- Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions
- A phase field concept for multiphase systems
- A tridimensional phase-field model with convection for phase change of an alloy
- Optimal control of a phase field model for solidification
- Phase Field Computations of Single-Needle Crystals, Crystal Growth, and Motion by Mean Curvature
- Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
- Weak solutions of a phase-field model for phase change of an alloy with thermal properties
- Phase-Field Models with Hysteresis in One-Dimensional Thermoviscoplasticity
- A generalized field method for multiphase transformations using interface fields
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