Abels, Helmut and Schaubeck, Stefan (2015) Sharp interface limit for the Cahn-Larche system. ASYMPTOTIC ANALYSIS, 91 (3-4). pp. 283-340. ISSN 0921-7134, 1875-8576
Full text not available from this repository. (Request a copy)Abstract
We prove rigorously the convergence of the Cahn-Larche system, which is a Cahn-Hilliard system coupled with the system of linearized elasticity, to a modified Hele-Shaw problem as long as a classical solution of the latter system exists. By matched asymptotic expansion we construct approximate solutions and estimate the difference between the true and the approximate solutions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HILLIARD EQUATION; MODEL; CONVERGENCE; DIFFUSION; SOLIDS; MOTION; sharp interface limit; diffuse interface model; Cahn-Hilliard equation; linearized elasticity; Hele-Shaw system; matched asymptotic expansion |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Aug 2019 12:02 |
| Last Modified: | 01 Aug 2019 12:02 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6287 |
Actions (login required)
 |
View Item |
