Title: The existence of weak, small energy solutions for the equations of motion of 3D compressible, viscous fluid flows with the no-slip boundary conditions
Speaker: Professor Mikhail Pereplitsa
Speaker Info: University of Massachusetts at Amherst
Brief Description:
Special Note:
Abstract:
We consider the equations of motion of a compressible, viscous, isentropic fluid in a bounded domain of $R^3$ with the no-slip boundary conditions. Given a constant, equilibrium state we construct a global in time, regular weak solution, provided that initial data are close to the quilibrium when measured by weak norms and discontinuities in the initial density decay near the boundary.Date: Thursday, January 12, 2006