3/25/2005

Global Well-Posedness of the Lagrangian Averaged Equations of Fluid Type

Here, we present some recent global existence results about theLagragian averaged 3-D 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.