| Grant number: | 19/04476-6 |
| Support Opportunities: | Regular Research Grants |
| Start date: | July 01, 2019 |
| End date: | June 30, 2021 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Gleiciane da Silva Aragão |
| Grantee: | Gleiciane da Silva Aragão |
| Host Institution: | Instituto de Ciências Ambientais, Químicas e Farmacêuticas (ICAQF). Universidade Federal de São Paulo (UNIFESP). Campus Diadema. Diadema , SP, Brazil |
| City of the host institution: | Diadema |
Abstract
In this project, we are interested in studying dynamic systems generated by partial differential equations in spaces of infinite dimension, which can be parabolic or hyperbolic equations, when the parameters involved in the equations are submitted to perturbations. The main parameters of interest are the domain of definition of the solutions and the nonlinear terms in the equations, which may be concentrated in a neighborhood of the boundary of domain. Dynamic systems in infinite dimensional spaces are mathematical models for a large number of problems in applied areas such as physics, biology, chemistry, economics and engineering, among many others. Moreover, the equilibrium points of these models are solutions of elliptic partial differential equations. We analyze the existence and uniqueness of solutions, the asymptotic behavior of these solutions, the existence of global attractors, the continuity of equilibria and attractors in relation to the perturbation of the parameters. (AU)
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