Dynamics in the Schwarzschild Isosceles Three Body Problem

We establish the uniqueness and local existence of weak solutions for a system of partial differential equations which describes non-linear motions of viscous stratified fluid in a homogeneous gravity field. Due to the presence of the stratification equation for the density, the model and the problem are new and thus different from the classical Navier-Stokes equations. Impasse singularities of constrained differential systems in dimension three. Ronaldo Garcia Universidade Federal de Goiás, Brazil e–mail:[email protected]