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On a phase transition model.
- Source :
-
Calculus of Variations & Partial Differential Equations . May2013, Vol. 47 Issue 1/2, p1-23. 23p. - Publication Year :
- 2013
-
Abstract
- An Allen-Cahn phase transition model with a periodic nonautonomous term is presented for which an infinite number of transition states is shown to exist. A constrained minimization argument and the analysis of a limit problem are employed to get states having a finite number of transitions. A priori bounds and an approximation procedure give the general case. Decay properties are also studied and a sharp transition result with an arbitrary interface is proved. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09442669
- Volume :
- 47
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Calculus of Variations & Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 87016168
- Full Text :
- https://doi.org/10.1007/s00526-012-0507-2