Transonic problems in 2-dimensional conservation laws

CCMA PDEs and Numerical Methods Seminar Series

Meeting Details

For more information about this meeting, contact Yuxi Zheng.

Speaker: Eunheui Kim, California State University, Long Beach

Abstract Link:

Abstract: Many practical problems in science and engineering, for example in aerodynamics, multi-phase flow and hemodynamics, involve conserved quantities, and lead to partial differential equations in the form of conservation laws. Understanding the mathematical structure of these equations and their solutions is essential to obtain physical insight into such practical problems. There are special difficulties associated (e.g. shock formation) with these equations that are not seen elsewhere and must be dealt with carefully. Moreover, in multidimensional conservation laws, there is little theory at present. One approach, the study of self-similar solutions, leads to the study of equations that change their type, namely, equations that are hyperbolic far from the origin and mixed near the origin. Some results have been obtained recently in this area, but there are still many open problems. In this talk, we discuss transonic problems in multidimensional conservation laws, present current results and ongoing research in this area.

Room Reservation Information

Room Number: 216 McAllister

Date: 02/02/2009

Time: 3:35pm - 4:25pm