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Sharp Interface Limits and Global Existence for the Phase Field Navier-Stokes Equations
Optimization| Speaker: | Prof. Steve Shkoller, UC Davis |
| Location: | 0 Kerr 593 |
| Start time: | Wed, Nov 14 2001, 4:10PM |
Description
We will introduce the phase-field Navier-Stokes equations, and
prove that they possess Leray global weak solutions. We will then
show that for smooth initial data, solutions of the phase-field
model converge weakly to solutions of the sharp-interface Navier-Stokes
equations. In the convergence proof, an auxiliary PDE is introduced
which couples the Navier-Stokes equations with the classical geometric
problem of motion by mean curvature.