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Degenerate parabolic-hyperbolic equations and averaging lemmas

Grant number: 21/01800-7
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): August 01, 2021
Effective date (End): July 31, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Marcelo Martins dos Santos
Grantee:João Fernando da Cunha Nariyoshi
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The main goal of the project is to continue the investigation of the theory of "averaging lemmas" and apply it to concrete problems involving degenerate parabolic-hyperbolic equations. More specifically, for these equations, it is intended to study an initial value problem for a stochastic version with periodic boundary conditions, to investigate Sobolev's regularity of entropy and kinetic solutions for deterministic and stochastic variants and to analyze boundary value problems. (AU)

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