Year: 2023
Type: article
Abstract: The aim of this paper is to give an existence theorem of a solution of the nonlinear evolution dam problem , associated with compressible or incompressible flows, in an unbounded domain of . We approximate by a sequence of bounded domains , and we consider a regularized problem on the bounded domain which has a unique solution. Now, we pass successively to the limit in , as and then as to get a solution to . Note that in a previos study of Gilardi and Kröner [7], an existence of a solution was given by using a different technique for the evolution dam problem related to an incompressible flow through a homogeneous porous medium.
DOI: 10.1002/mma.9623
Institutions: University of Eloued, University of Ouargla
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4386001993