On the Existence of a Generalized Solution of the Saturated-Unsaturated Filtration Problem |
| |
Authors: | M. F. Pavlova E. V. Rung |
| |
Affiliation: | 1.Kazan Federal University,Kazan,Russia |
| |
Abstract: | We study the existence of a generalized solution of an initial–boundary value problem describing the process of unsteady filtration of a liquid in a bounded region of an n-dimensional space. We consider the case in which the Kirchhoff transformation used to determine the generalized solution takes the real axis into a semiaxis bounded below. An auxiliary problem is constructed. It is proved that any solution of the auxiliary problem is a solution of the problem under study. The solvability of the auxiliary problem is established by using the method of semidiscretization in time and the Galerkin method. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |