CIMMS Lunchtime Series: Global Well-Posedness of the Lagragian averaged 3D Euler Equations

Dr. Congming Li, University of Colorado at Boulder
Department of Applied Mathematics

Here, we present some recent global existence results about the 'level set' approximation of NS and the Lagragian averaged 3D Euler Equation. The global existence of the Lagrangian averaged 2D Boussinesq equations and the Lagrangian averaged 2D quasi-geostrophic equations in finite Sobolev space in the absence of viscosity or dissipation will also be established. This is a joint work with T. Hou.