Unique global solvability of the Fried-Gurtin model for phase transitions in solids
Słowa kluczowe
Allen-Cahn equation, elasticity, phase transitions, existence and uniquenessAbstrakt
The paper is concerned with the existence and uniqueness of solutions to the Allen-Cahn equation coupled with elasticity. The system represents a particular, simple version of the Fried-Gurtin model for solid-solid transitions with phase characterized by an order parameter. The system is studied with the help of the Leray-Schauder fixed point theorem. The main tool applied in the existence proof is the solvability theory of parabolic problems in anisotropic Sobolev spaces with mixed time-space norms.Pobrania
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2004-12-01
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KOSOWSKI, Zenon & PAWŁOW, Irena. Unique global solvability of the Fried-Gurtin model for phase transitions in solids. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 2004, T. 24, nr 2, s. 209–237. [udostępniono 22.7.2024].
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