PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Joseph Roberts, Yuxi Zheng.

Title:Uniqueness for a non--linear 1D compressible to incompressible limit in the non smooth case
Seminar:Hyperbolic and Mixed Type PDEs Seminar
Speaker:Graziano Guerra, Department of Mathematics and Applications, University of Milan (Italy)
Abstract:
In the first part of the talk we introduce some local existence and uniqueness results for systems of partial and ordinary differential equations coupled through boundary conditions. Then we introduce the problem of the compressible to incompressible limit for a 1D fluid (the "liquid") with finite mass m surrounded by a 1D fluid (the "gas") and we show the existence of the limit, defined for all times, through a compactness argument. Finally, since this limit satisfies a system of partial and ordinary differential equations, coupled through suitable boundary conditions, we can show uniqueness. Moreover, since this limit is defined for all times, we also have the existence for all times of the solution to this particular coupled system ODE-PDE."

Room Reservation Information

Room Number:MB216
Date:04 / 19 / 2016
Time:10:00am - 11:00am