HOMOGENIZATION FOR MONOTONE EQUATIONS WITH NONLINEAR SIGNORINI BOUNDARY CONDITIONS IN ROUGH THIN DOMAINS

• Grant number: 23/14829-9
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2024
• End date: January 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Mobility Program: SPRINT - Projetos de pesquisa - Mobilidade
• Principal Investigator: Marcone Corrêa Pereira
• Grantee: Marcone Corrêa Pereira
• Principal researcher abroad: Antonio Gaudiello
• Institution abroad: Università degli Studi della Campania Luigi Vanvitelli, Italy
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 20/14075-6 - Dynamical systems and their attractors under perturbations, AP.TEM

Abstract

In this project we intend to study the asymptotic behavior of nonlinear boundary value problems defined in singular domains. In particular, we are interested in obtaining the homogenized equations for homogenization problems defined in thin domains with rough boundaries given by brush-like perturbations and with nonlinear Signorini boundary condition. (AU)