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|
|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
|Date:||09 / 09 / 2014|
|Time:||10:00am - 10:50am|