The solution of an initial-boundary value problem of the filtration theory with nonlocal boundary condition

Nonlinear Analysis

Ludmila Serbina¹ 

[1] Institute of Applied Mathematics and Automation, RAS, Russia;

关键词: motion of groundwater;    Boussinesq's equation;    equations of mixed type;    Lavrentiev– Bitsadze equation;    nonlocal problems;    Samarskii condition;   

DOI  :  10.15388/NA.2014.3.12

来源: DOAJ

【 摘 要 】

The nonlocal initial and boundary value problem for Lavrentiev–Bitsadze equation is considered. By this problem the nonstacionary one-dimentional motion of a groundwater with horizontal stopping is modeling. The existence and the uniqueness of the classical (in the elliptic part of the domain) and generalized (in the hyperbolic part of the domain) solution of the considered problem is proved.

【 授权许可】

Unknown