On a phase-field model with a logarithmic nonlinearity.

Autor:	Miranville, Alain
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles phase field system Maxwell-Cattaneo law well-posedness logarithmic potential
Druh dokumentu:	Kniha
Abstrakt:	Abstract: Our aim in this paper is to study the existence of solutions to a phase-field system based on the Maxwell-Cattaneo heat conduction law, with a logarithmic nonlinearity. In particular, we prove, in one and two space dimensions, the existence of a solution which is separated from the singularities of the nonlinear term.
Databáze:	Katalog Knihovny AV ČR
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