A free boundary problem for a Hamilton-Jacobi equation arising in ion etching
β Scribed by Bei Hu
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 975 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0022-0396
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π SIMILAR VOLUMES
In this paper, we study the free-boundary problem associated with a singular diffusion equation. An entropy equality derived by the authors for BV solutions in an earlier paper is used in its formulation. Existence, uniqueness, and regularity results are obtained.
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## Abstract The existence of a weak solution of a twoβdimensional nonβstationary freeβboundary problem related to flame propagation is established. The main feature of the problem is that the nonlinear coupling of the two parabolic equations occur on the free boundary and has exponential growth.