Artículo
A nonlocal two phase Stefan problem
Autor/es | Chasseigne, Emmanuel
Sastre Gómez, Silvia ![]() ![]() ![]() ![]() ![]() ![]() |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2013-11-24 |
Fecha de depósito | 2023-03-03 |
Publicado en |
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Resumen | We study a nonlocal version of the two-phase Stefan problem, which models a phase-transition problem between two distinct phases evolving to distinct heat equations. Mathematically speaking, this consists in deriving a ... We study a nonlocal version of the two-phase Stefan problem, which models a phase-transition problem between two distinct phases evolving to distinct heat equations. Mathematically speaking, this consists in deriving a theory for sign-changing solutions of the equation, u t = J ∗ v − v , v = Γ ( u ) , where the monotone graph is given by Γ ( s ) = s i g n ( s ) ( | s | − 1 ) + . We give general results of existence, uniqueness and comparison, in the spirit of [2]. Then we focus on the study of the asymptotic behavior for sign-changing solutions, which present challenging difficulties due to the nonmonotone evolution of each phase. |
Cita | Chasseigne, E. y Sastre Gómez, S. (2013). A nonlocal two phase Stefan problem. Differential Integral Equations, 26 (11/12), 1335-1360. https://doi.org/10.57262/die/1378327429. |
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