In this article, we present a weak solution existence result for a system of equations involved in the mathematical modeling of the flow of an inhomogeneous viscous and incompressible fluid. For this, two results have been established. In the first result, the differentiability is according to Frechet. In the second result, the differentiability is understood in a weaker sense than that of Frechet.
Keywords and Phrases
Uniqueness and differentiability, compressible system.
A.M.S. subject classiﬁcation
35D30, 35A01, 35A02.