Generic properties of partial differential equations

• Grant number: 06/06278-7
• Support type: Regular Research Grants
• Duration: January 01, 2007 - December 31, 2008
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal researcher: Marcone Corrêa Pereira
• Grantee: Marcone Corrêa Pereira
• Home Institution: Escola de Artes, Ciências e Humanidades (EACH). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

In this project, we propose to study some generic properties of Dynamical Systems defined by Partial Differential Equations. The main parameters considered here are: a) the non linearity and diffusion coefficients; b) the domain of the solutions. To achieve this goal, we intend to use the Transversality Theorem proved by D. Henry and the theory of upper and lower continuity of attractors and structural stability of Dynamical Systems developed by J. Hale, Brunovisky and Polacik. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BROCHE, RITA DE CASSIA D. S.; PEREIRA, MARCONE C. Generic hyperbolicity of stationary solutions for a reaction-diffusion system. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 72, n. 12, p. 4638-4648, JUN 15 2010. Web of Science Citations: 0.