Global existence of a strong solution to the one-dimensional full model for irreversible phase transitions

DOI10.1016/S0022-247X(02)00127-0zbMath1004.35058OpenAlexW2121918770MaRDI QIDQ1849165

Giulio Schimperna, Ulisse Stefanelli, Philippe Laurençot

Publication date: 28 November 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00127-0

zbMATH Keywords

irreversibilitynonlinear parabolic system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Initial value problems for second-order parabolic systems (35K45)

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Cites Work

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• Existence result for the one-dimensional full model of phase transitions
• Approximation of nonlinear evolution systems
• Semi-linear second-order elliptic equations in \(L^1\)
• Global existence for a class of generalized systems for irreversible phase changes
• Global solution to a phase field model with irreversible and constrained phase evolution