PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.

Title:CONSERVATION LAWS WITH SINGULAR NONLOCAL SOURCES
Seminar:CCMA PDEs and Numerical Methods Seminar Series
Speaker:Giuseppe Maria Coclite, Universit` a di Bari, Bari, Italy
Abstract Link:http://www.dm.uniba.it/Members/coclitegm
Abstract:
In this lecture we consider a one-dimensional hyperbolic conservation law with integral source that contains a singular nonlinear term in the origin. In several gas-dynamics and traffic models we have fluxes or sources depending on the reciprocal of the density: our equation is an integral regularization of such models. The sharp assumptions on the integral kernel are satisfied by several Green’s functions of elliptic problems, in these cases our equation is equivalent to an hyperbolic-elliptic system similar to the ones associated to the Camassa-Holm, Degasperis-Procesi, and radiating gases models. We work on the initial-boundary value problem with homogeneous Dirichlet boundary conditions and prove the existence of weak solutions that are almost everywhere positive. The results were obtained in collaboration with Professor Mario M. Coclite.

Room Reservation Information

Room Number:MB216
Date:03 / 22 / 2010
Time:03:35pm - 04:25pm