Free boundary regularity for a problem from hydrodynamics

• Grant number: 13/01121-6
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2013
• End date: February 28, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Olivâine Santana de Queiroz
• Grantee: Mauro Cezar Pereira Paz Filho
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We consider a free boundary problem for a nondivergence form elliptic operator and with right hand side (reaction term). Our main focus is the regularity theory for the free boundary developed recently by D. de Silva and O. Savin, which is based in Harnack type inequalities and small perturbation solutions. This problem is in connection with a hydrodynamic model, in particular the Stokes conjecture.