Journal of applied mathematics & informatics
- 제20권1_2호
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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) ;
- Lee, Choon-Ho (Department of Mathematics, Hoseo University)
- 발행 : 2006.01.01
초록
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.