On a Caginalp phase-field system with a logarithmic nonlinearity.

Autor:	Wehbe, Charbel
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles Caginalp phase-field system Dirichlet boundary conditions well-posedness long time behavior of solution global attractor exponential attractor Maxwell-Cattaneo law logarithmic potential
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: We consider a phase field system based on the Maxwell Cattaneo heat conduction law, with a logarithmic nonlinearity, associated with Dirichlet boundary conditions. In particular, we prove, in one and two space dimensions, the existence of a solution which is strictly separated from the singularities of the nonlinear term and that the problem possesses a finite-dimensional global attractor in terms of exponential attractors.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink