Homogenization of a parabolic equation in perforated domain with Dirichlet boundary condition
β Scribed by A. K. Nandakumaran; M. Rajesh
- Publisher
- Indian Academy of Sciences
- Year
- 2002
- Tongue
- English
- Weight
- 210 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0253-4142
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π SIMILAR VOLUMES
In the present paper, the blow up of smooth local solutions for a class of nonlinear parabolic equations u;t =β(a(u)βu) + f(x; u; q; t) (q = |βu| 2 ) with Dirichlet boundary conditions are studied. By constructing an auxiliary function and using Hopf's maximum principles on it, the su cient conditio
We study the Dirichlet problem for a system of nonlinear elliptic equations of Leray-Lions type in a sequence of domains (s) , s = 1, 2, . . ., with fine-grained boundaries. Under appropriate structure conditions on the system and the geometry of (s) , we prove that the sequence of solutions of the