Heat Conduction with Flux Condition on a Free Patch
Journal Article
·
· Applied Mathematics and Optimization
- Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309 (United States)
A new free boundary or free patch problem for the heat equation is presented. In the problem a nonlinear heat flux condition is prescribed on a free portion of the boundary, the patch, the position of which depends on the solution. The existence of a weak solution is established using the theory of set-valued pseudo monotone operators.
- OSTI ID:
- 21067453
- Journal Information:
- Applied Mathematics and Optimization, Vol. 50, Issue 2; Other Information: DOI: 10.1007/s00245-004-0797-7; Copyright (c) 2004 Springer-Verlag; www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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