Venue
SMS Conference Room
Speaker
Abhrojyoti Sen
Affiliation
NISER Bhubaneswar
Title
LIMITING BEHAVIOR OF SOLUTIONS FOR SOME STRICTLY HYPERBOLIC SYSTEMS OF CONSERVATION LAWS
We study the limiting behavior of the solutions of Euler equations of one-dimensional compressible fluid flow as the pressure like term vanishes. This system can be thought of as an approximation for the one dimensional model for large scale structure formation of universe. We show that the solutions of former equation converges to the solution of later in the sense of distribution and agrees with the vanishing viscosity limit when the initial data is of Riemann type.