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Asymptotic stability of traveling waves in a discrete convolution model for phase transitions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ma, Shiwang Duan, Yongrui |
| Copyright Year | 2005 |
| Abstract | In a recent paper [P. Bates, A. Chmaj, A discrete convolution model for phase transition, Arch. Rational Mech. Anal. 150 (1999) 281–305], a discrete convolution model for Ising-like phase transition has been derived, and the existence, uniqueness of traveling waves and stability of stationary solution have been studied. This nonlocal model describes l2-gradient flow for a Helmholts free energy functional with general range interaction. In this paper, by using the comparison principle and the squeezing technique, we prove that the traveling wavefronts with nonzero speed is globally asymptotic stable with phase shift. |
| Starting Page | 240 |
| Ending Page | 256 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jmaa.2005.01.011 |
| Volume Number | 308 |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/82400172.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
