PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:$L^1$ error estimates for balance laws with space-dependent source
Seminar:Hyperbolic and Mixed Type PDEs Seminar
Speaker:Debora Amadori, University of L'Aquila Italy
Abstract:
This talk will concern the approximation of balance laws in one space dimension. The aim is to present an approach for proving rigorous $L^1$ error estimates for certain classes of approximations, showing the dependence on significant parameters of the problem. We focus on semilinear systems of two equation, with a space-dependent, weakly dissipative source term, that include the locally damped semilinear wave equation. The analysis relies on a suitable modification of the original Bressan-Liu-Yang $L^1$-stability theory in order to properly handle the inhomogeneity of the system. Joint work with L. Gosse (IAC--CNR, Rome, Italy).

Room Reservation Information

Room Number:MB216
Date:04 / 21 / 2016
Time:10:00am - 11:00am