Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10678456 | Applied Mathematics Letters | 2005 | 8 Pages |
Abstract
We study inner obstacle problems for a class of strongly degenerate parabolic-hyperbolic quasilinear operators associated with Dirichlet data in an open bounded subset of Rp, pâ¥1. We first give the definition of a weak entropy solution that warrants uniqueness; the boundary conditions are expressed by using the framework of divergence measure fields. The existence of such a solution is obtained through the vanishing viscosity method.
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Computational Mechanics
Authors
L. Lévi, E. Rouvre, G. Vallet,