Our aim in this article is to prove the global (in time) existence ofsolutions to a Caginalp phase-field system with dynamic boundaryconditions and a singular potential. The main difficulty is to provethat the solutions are strictly separated from the singular values ofthe potential. This is achieved by studying an auxiliary elliptic problem.
Existence of global solutions to the Caginalp phase-field system with dynamic boundary conditions and singular potentials / Cherfils, Laurence; Gatti, Stefania; Miranville, Alain. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 343:1(2008), pp. 557-566. [10.1016/j.jmaa.2008.01.077]
Existence of global solutions to the Caginalp phase-field system with dynamic boundary conditions and singular potentials
GATTI, Stefania;
2008-01-01
Abstract
Our aim in this article is to prove the global (in time) existence ofsolutions to a Caginalp phase-field system with dynamic boundaryconditions and a singular potential. The main difficulty is to provethat the solutions are strictly separated from the singular values ofthe potential. This is achieved by studying an auxiliary elliptic problem.
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