On the Solvability of Some Dynamic Poroelastic Problems
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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.
Keywordsporoelasticity equations dynamic permeability mixed problem existence uniqueness stability
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