Publicação
On the double degenerate equation u_t-div a (x, t, u, ∇u) = b (x, t, u, ∇u)
| Resumo: | We show that a locally bounded nonnegative weak solution of a general double degenerate parabolic equation ut −diva(x,t,u,∇u) = b(x,t,u,∇u), satisfying specific structure conditions is locally continuous, generalizing therefore the study of the local regularity theory for the saturation in the flow of two immiscible fluids in a porous medium presented in DiBenedetto et al. [16]. |
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| Autores principais: | Vespri, Vincenzo |
| Outros Autores: | Henriques, Eurica |
| Assunto: | Double degenerate PDEs Regularity theory Intrinsic scaling |
| Ano: | 2012 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso restrito |
| Instituição associada: | Universidade de Trás-os-Montes e Alto Douro |
| Idioma: | inglês |
| Origem: | Repositório da UTAD |
| Resumo: | We show that a locally bounded nonnegative weak solution of a general double degenerate parabolic equation ut −diva(x,t,u,∇u) = b(x,t,u,∇u), satisfying specific structure conditions is locally continuous, generalizing therefore the study of the local regularity theory for the saturation in the flow of two immiscible fluids in a porous medium presented in DiBenedetto et al. [16]. |
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