PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Tianyou Zhang.

Title:QUADRATIC INTERACTION FUNCTIONAL AND LAGRANGIAN REPRESENTATION FOR CONSERVATION LAWS
Seminar:Hyperbolic and Mixed Type PDEs Seminar
Speaker:Stefano Bianchini, SISSA, Italy
Abstract:
Several estimates (for convergence of approximate schemes, stability, structure of solutions of one dimensional conservation laws) depend on the existence of a Lyapunov functional $Q$ decreasing of a sufficiently large quantity during the evolution of the solution. The construction of this functional requires to exploit a Lagrangian representation of the solution to this nonlinear PDE. In this short course we will construct the Lagrangian representation for scalar equation, prove the existence of a Lyapunov functional and as a consequence deduce the regularity estimates of solutions.

Room Reservation Information

Room Number:MB216
Date:09 / 09 / 2014
Time:10:00am - 10:50am