Affiliation:
1. Department of Mathematics University of El Oued El Oued Algeria
2. Department of Mathematics, Laboratoire des équations aux dérivées partielles et H. M. Ecole Normale Supérieure Algiers Algeria
3. Laboratory of Applied Mathematics University of Kasdi Merbah Ouargla Algeria
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.
Subject
General Engineering,General Mathematics