Journal of applied mathematics & informatics
- Volume 20 Issue 1_2
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- Pages.491-511
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- 2006
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
PROPAGATION OF PHASE BOUNDARIES: EXISTENCE AND ADMISSIBILITY OF SOLUTIONS VIA FRONT TRACKING METHOD
- Ahn, Hyeung-Won (Department of Mathematics, Hoseo University) ;
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Lee, Choon-Ho
(Department of Mathematics, Hoseo University)
- Published : 2006.01.01
Abstract
The existence of the admissible solution for conservation laws of trilinear type occurring material sciences was proved by Abeyaratne and Knowles. LeFloch proved the existence of admissible solutions of conservation laws of this type via Glimm's method. In this paper we introduce a front tracking solution and prove the existence of the front tracking solution. We also investigate the admissibility of solutions via the Front Tracking Method.