Equações de Navier-Stokes não-homogêneas

Abstract

In this work we consider the flow of a viscous, incompressible and nonhomogeneous fluid, that is, with variable density, described by the nonhomogeneous Navier-Stokes equations. The main theorem aims to determine the solutions velocity, density e pressure. Such a demonstration will be covered in three steps: construction of approximate solutions, compactness proof and convergence to the solution.