On a phase transition model
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...
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| Veröffentlicht in: | Calculus of variations and partial differential equations 2013-05, Vol.47 (1-2), p.1-23 |
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| container_title | Calculus of variations and partial differential equations |
| container_volume | 47 |
| creator | Byeon, Jaeyoung Rabinowitz, Paul H. |
| description | 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. |
| doi_str_mv | 10.1007/s00526-012-0507-2 |
| format | Article |
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| issn | 0944-2669 1432-0835 |
| language | eng |
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| source | SpringerLink Journals |
| subjects | Analysis Approximation Calculus of variations Calculus of Variations and Optimal Control Optimization Control Decay Mathematical analysis Mathematical and Computational Physics Mathematics Mathematics and Statistics Minimization Optimization Partial differential equations Phase transformations Phase transitions Systems Theory Theoretical |
| title | On a phase transition model |
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