Local Well-posedness of Compressible Navier-Stokes Equations with Degenerate Viscosity
Homogenization and Random Phenomenon
20 October 15:00 - 15:55
Yachun Li - Shanghai Jiao Tong University
In this talk I will present some new results on Navier-Stokes equations for compressible fluids with density-dependent viscosity coefficients which are degenerate when vacuum appears. We introduce the notion of regular solutions and prove the local existence of solutions in this class when both the shear viscosity coefficient and bulk viscosity coefficient are density-dependent and initial vacuum is allowed.
KTH Royal Institute of Technology
The University of Chicago