On the Solvability of Some Dynamic Poroelastic Problems

Сибирский математический журнал

M. P. Vishnevskii¹  V. I. Priimenko² 

[1] Sobolev Institute of Mathematics;State University of Norte Fluminense

关键词: poroelasticity equations;    dynamic permeability;    mixed problem;    existence;    uniqueness;    stability;   

DOI  :  10.1134/S0037446619030078

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

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.

【 授权许可】

CC BY