[NOVA Math] Seminar of Analysis

The Center of Mathematics and Applications (NOVA Math), promote the Seminar of Analysis with the title: “Weak solution for stochastic Degasperis-Procesi equation”. Fernanda Cipriano (NOVA Math and Department of Mathematics, NOVA FCT) is the speaker.

Abstract: This work is concerned with the existence of solution to the stochastic Degasperis-Procesi equation with an infinite dimensional multiplicative noise and integrable initial data. Writing the equation as a system composed of a stochastic nonlinear conservation law and an elliptic equation, we are able to develop a method based on the conjugation of kinetic theory with stochastic compactness arguments. More precisely, we apply the stochastic Jakubowski-Skorokhod representation theorem to show the existence of a weak kinetic martingale solution. In this framework, the solution is a stochastic process with sample paths in Lebesgue spaces, which are compatible with peakons and wave breaking physical phenomenon.

This is a joint work with Nikolai Chemetov.

March 26, 2025, 14:15 – 15:15, Room 112, Building IV.