University of Toronto
                  PDE/Applied Math/Analysis Seminar
                    Thursday, April 13, 3:10-4pm
                          3012 Bahen Centre      



SPEAKER:  Katarna Jegdic (Fields Institute)

TITLE:    Two-dimensional hyperbolic conservation laws and shock
	  reflection problems


ABSTRACT: The first part of this talk is a brief introduction
	  to the first order quasilinear partial differential
	  equations known as hyperbolic conservation laws. We 
	  will outline the physical interpretation of these 
	  equations and show a few examples.

	  
	  The second part of the talk is on analysis of 
	  two-dimensional Riemann problems that model shock 
	  reflection. Written in self-similar coordinates, these 
	  problems lead to mixed-type systems and free boundary 
	  problems for the reflected shock and the subsonic state 
	  behind the shock. We will outline our recent results on 
	  analysis of a Riemann problem for the nonlinear wave system 
	  and the isentropic gas dynamics equations using the theory 
	  of second order elliptic equations and fixed point theorems 
	  (joint work with S. Canic and B. L. Keyfitz).

         
                                                                                                           
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University of Toronto   
PDE/Applied Math/Analysis seminar 

http://www.math.toronto.edu/appmath/

2005-2006 organizers:
	Pieter Blue 		pblue@math.toronto.edu
	Almut Burchard		almut@math.toronto.edu
	Bob Jerrard 		rjerrard@math.toronto.edu
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