Regularization by noise in (2x 2) hyperbolic systems of conservation laws

Tuesday, May 23, 2017
Ora Inizio: 
Ora Fine: 
C. Olivera
Universidade Estadual de Campinas

In this talk we study a non-strictly hyperbolic system of conservation law by stochastic perturbation. We show existence and uniqueness of the solution. We do not assume BV-regularity for the initial conditions. The proofs are based on the concept of entropy solution and on the method of charactteristics (under the influence of noise). This is the first result on the regularization by noise in hyperbolic systems of conservation law.