Event № 311
We consider the initial value problem for the inviscid Primitive equations in three spatial dimensions. We recast the system to an abstract Euler-type system. We use an addaptation of the method of convex integration for Euler equations (following works of L. Sz\ekelyhidi, C. De Lellis and Feireisl). As a result, we obtain the existence of infinitely many global weak solutions for large initial data. We also introduce an appropriate notion of dissipative solutions and show the existence of an initial data from which emanate infinitely many dissipative solutions. This is a joint work with E. Chiodaroli (EPFL, Switzerland).