Abstract
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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Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 3, pp. 556–577.
The authors were partially supported by the National Institute of Science and Technology of Petroleum Geophysics (INCT-GP/MEC/CNPq), Salvador, Brazil.
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Vishnevskii, M.P., Priimenko, V.I. On the Solvability of Some Dynamic Poroelastic Problems. Sib Math J 60, 429–449 (2019). https://doi.org/10.1134/S0037446619030078
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DOI: https://doi.org/10.1134/S0037446619030078