For more information about this meeting, contact Yuxi Zheng.
|Title:||Transonic problems in 2-dimensional conservation laws|
|Seminar:||CCMA PDEs and Numerical Methods Seminar Series|
|Speaker:||Eunheui Kim, California State University, Long Beach|
|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
Room Reservation Information
|Date:||02 / 02 / 2009|
|Time:||03:35pm - 04:25pm|