Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838059 | Nonlinear Analysis: Real World Applications | 2011 | 15 Pages |
Abstract
In this paper, we are interested in nonlinear pseudoparabolic problems of type: f(t,x,∂tu)−Div[a(x,u,∂tu)∇u]−Div[b(x,u,∂tu)∇∂ut]=g.ff is a nondecreasing continuous function with respect to its third argument, aa is bounded and bb is positive and bounded.The result of existence is proved thanks to a time discretization scheme. Then, we derive some applications to the equation of Barenblatt, a degenerate case and differential inclusions. Finally, some numerical illustrations are proposed.
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Authors
Ngonn Seam, Guy Vallet,