Qualitative and geometric properties of partial differential equations

• Grant number: 09/13838-7
• Support Opportunities: Research Projects - Thematic Grants
• Start date: February 01, 2010
• End date: June 30, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcelo da Silva Montenegro
• Grantee: Marcelo da Silva Montenegro
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated researchers: Francisco Odair Vieira de Paiva ; Lucas Catão de Freitas Ferreira ; Olivâine Santana de Queiroz
• Associated scholarship(s): 11/00334-0 - Existence and asymptotic behavior for flows of Navier-Stokes fluids under rotational influences, BP.PD

Abstract

We are concerned to geometric and qualitative properties of solutions of elliptic and evolution equations. These solutions can have singularities or free boundaries. The problems arise in geometric flux equations and in models of diffusion and dispersion. (AU)