For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.
| Title: | CONSERVATION LAWS WITH SINGULAR NONLOCAL SOURCES |
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| Seminar: | CCMA PDEs and Numerical Methods Seminar Series |
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| Speaker: | Giuseppe Maria Coclite, Universit` a di Bari, Bari, Italy |
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| Abstract Link: | http://www.dm.uniba.it/Members/coclitegm |
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| Abstract: |
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| 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 |
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| Date: | 03 / 22 / 2010 |
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| Time: | 03:35pm - 04:25pm |
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