Title: Structure of the entropy solution of a scalar conservation law with strict convex flux
Speaker: Dr. Shyam Sundar Ghoshal TIFR Centre for Applicable Mathematics, Bangalore
Date: 24 May 2012
Time: 2:30 - 3:30 p.m.
Venue: Department of Mathematics, Lecture Hall I
We prove the Structure Theorem of the entropy solution. Furthermore we obtain the shock regions each of which represents a single shock at infinity. Using the structure Theorem we construct initial data $u_0\\in C_c^\\f$ for which the solution exhibits infinitely many shocks as $t \\rightarrow \\f$. Also we have generalized the asymptotic behavior (the work of Dafermos, Liu, Kim) of the solution and obtain the rate of decay of the solution with respect to the $N$-wave.