A generalization of the Caginalp phase-field system with Neumann boundary conditions
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Publication:393207
DOI10.1016/j.na.2013.03.016zbMath1288.35289OpenAlexW1988983611MaRDI QIDQ393207
Monica Conti, Alain Miranville, Stefania Gatti
Publication date: 16 January 2014
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2013.03.016
Attractors (35B41) Stefan problems, phase changes, etc. (80A22) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
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A reformulation of the Caginalp phase-field system based on the Maxwell-Cattaneo law ⋮ Higher-order anisotropic Caginalp phase-field systems ⋮ On a Caginalp phase-field system with two temperatures and memory ⋮ The Caginalp phase field systems with logarithmic nonlinear terms ⋮ Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential ⋮ On higher-order anisotropic conservative Caginalp phase-field systems ⋮ A Caginalp phase-field system based on type III heat conduction with two temperatures
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