Coarsening in an integro-differential model of phase transtitions (Q2709831)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Coarsening in an integro-differential model of phase transtitions |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coarsening in an integro-differential model of phase transtitions |
scientific article |
Statements
17 April 2001
0 references
phase transitions
0 references
numerical examples
0 references
integro-differential equation
0 references
coarsening
0 references
0.9191332
0 references
0.90436375
0 references
0.9017191
0 references
0.89516443
0 references
0.8941467
0 references
0.8903622
0 references
Coarsening in an integro-differential model of phase transtitions (English)
0 references
The integro-differential equation NEWLINE\[NEWLINEu_t=\varepsilon \int_\Omega J\bigl(|x-y|\bigr)\bigl( u(y)-u(x) \bigr)dy -f(u),NEWLINE\]NEWLINE \(x\in\Omega\), \(\Omega\subset \mathbb{R}^n\), \(J(\cdot)\geq 0\), \(\varepsilon >0\) and \(f(u)=u^3-u\) is examined, with special reference to coarsening of selections. Numerical tests in both one and two space dimensions back up and illustrate the main theorem proved herein.
0 references
