Metastable solutions for the thin-interface limit of a phase-field model
✍ Scribed by A. Jiménez-Casas
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 141 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
The phase-field (PF) method for solidification phenomena is an open formulation based on a free-energy functional. Two common a rigorous thermodynamic formulation for nonisothermal choices for the PF potential, here referred to briefly as the Caginalp systems [11] and to encompass fluid-flow phenome
## Abstract In this article we discuss the local existence and uniqueness of solutions of a system of parabolic differential partial equations modeling the process of solidification/melting of a certain kind of alloy. This model governs the evolution of the temperature field, as well as the evoluti
We describe an algorithm for the numerical solution of a phase-field model (PFM) of microstructure evolution in polycrystalline materials. The PFM system of equations includes a local order parameter, a quaternion representation of local orientation and a species composition parameter. The algorithm
## Abstract The phase‐field method provides a mathematical description for free‐boundary problems associated to physical processes with phase transitions. It postulates the existence of a function, called the phase‐field, whose value identifies the phase at a particular point in space and time. The
We investigate the well-posedness of a phase-"eld model for the isothermal solidi"cation of a binary alloy due to Warren}Boettinger [12]. Existence of weak solution as well as regularity and uniqueness results are established under Lipschitz and boundedness assumptions for the non-linearities. A max