Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/2898
Título: | A parabolic quasi-variational inequality arising in a superconductivity model |
Autor(es): | Rodrigues, José Francisco Santos, Lisa |
Data: | 2000 |
Editora: | Scuola Normale Superiore di Pisa |
Citação: | "Annali della Scuola Normale Superiore di Pisa. Classe di Scienze". ISSN 0391-173X. 29 (2000) 153-169. |
Resumo(s): | We consider the existence of solutions for a parabolic quasilinear problem with a gradient constraint which threshold depends on the solution itself. The problem may be considered as a quasi-variational inequality and the existence of solution is shown by considering a suitable family of approximating quasilinear equations of p-Laplacian type. A priori estimates on the time derivative of the approximating solutions and on the nonlinear diffusion coefficients are used in the passage to the limit, as well as a suitable sequence of convex sets with variable gradient constraint. The asymptotic behaviour as t → ∞ is also considered, and the solutions of the quasi-variational inequality are shown to converge, at least for subsequences, to a solution of a stationary quasi-variational inequality. These results can be applied to the critical-state model of type-II superconductors in longitudinal geometry. |
Tipo: | Artigo |
Descrição: | 35K85 (primary), 35K55, 35R35 (secondary) |
URI: | https://hdl.handle.net/1822/2898 |
ISSN: | 0391-173X |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals DMAT - Artigos (Papers) |