On the Existence of a Generalized Solution of the Saturated-Unsaturated Filtration Problem

被引：2
|
作者：
Pavlova, M. F. [1 ]
Rung, E. V. [1 ]
机构：
[1] Kazan Fed Univ, Kazan 420008, Russia
来源：
DIFFERENTIAL EQUATIONS | 2018年 / 54卷 / 03期
关键词：
FLOW;
D O I：
10.1134/S0012266118030072
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：352 / 362
页数：11
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