PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Tao Huang, Fang Yu.

Title:Navier-Stokes Equations with Density-dependentViscosity and Vacuum
Seminar:Complex Fluids Seminar
Speaker:Yachun Li, Shanghai Jiao Tong University
Abstract:
In this talk I will present some new results on isentropic Navier-Stokes equations for compressible fluids with density-dependent viscosity coefficients. These equations are degenerate when vacuum appears. The local existence of classical solutions is established when the shear viscosity coefficient and bulk viscosity coefficient are both proportional to the density and the initial data are arbitrarily large with vacuum appearing in the far field. Besides, we study the Cauchy problem for multi-dimensional compressible isentropic Navier-Stokes equations with radiation (Navier-Stokes-Boltzmann equations). I will prove that radiation effect cannot prevent the formation of singularities provided that the initial mass density is compactly supported.

Room Reservation Information

Room Number:MB315
Date:08 / 27 / 2014
Time:03:00pm - 04:30pm