On the Solvability of Some Dynamic Poroelastic Problems
- Autores: Vishnevskii M.P.1,2, Priimenko V.I.2
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Afiliações:
- Sobolev Institute of Mathematics
- State University of Norte Fluminense
- Edição: Volume 60, Nº 3 (2019)
- Páginas: 429-449
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172403
- DOI: https://doi.org/10.1134/S0037446619030078
- ID: 172403
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Resumo
We consider the direct problems for poroelasticity equations. In the low-frequency approximation we prove existence and uniqueness theorems for the solution to a certain mixed problem. In the high-frequency approximation we establish the uniqueness of a weak solution to the mixed problem and its continuous dependence on the data in the cases of bounded and unbounded temporal intervals and for however many spatial variables.
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Sobre autores
M. Vishnevskii
Sobolev Institute of Mathematics; State University of Norte Fluminense
Autor responsável pela correspondência
Email: mikhail@uenf.br
Rússia, Novosibirsk; Campos dos Goytacazes, Rio de Janeiro
V. Priimenko
State University of Norte Fluminense
Autor responsável pela correspondência
Email: slava@lenep.uenf.br
Brasil, Macaé
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