Caltech/UCLA Joint Analysis Seminar
Off Campus
The weak solutions of the compressible Navier-Stokes equations
Cheng Yu,
Department of Mathematics,
The University of Texas at Austin,
LOCATION: UCLA MS 6221
In this talk, we discuss the existence of global weak solutions for 3D compressible Navier-Stokes equations with degenerate viscosity. The method is based on the Bresch and Desjardins entropy conservation. The main contribution is to derive the Mellet-Vasseur type inequality for the weak solutions, even if it is not verified by the first level of approximation. This provides existence of global solutions in time, for the compressible Navier-Stokes equations, in three dimensional space, with large initial data possibly vanishing on the vacuum. This is a joint work with Alexis Vasseur.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].
Event Series
Caltech/UCLA/USC Joint Analysis Seminar Series
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