Nonautonomous dynamical systems of evolution equations on domains with moving boun...
Existence and stability of large solutions for some fluid mechanics models
Asymptotic properties of semilinear problems: singular perturbations and applications
Grant number: | 12/16709-6 |
Support type: | Regular Research Grants |
Duration: | November 01, 2012 - October 31, 2014 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
Principal researcher: | Everaldo de Mello Bonotto |
Grantee: | Everaldo de Mello Bonotto |
Home Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
The present project of scientific research concerns about the theory of systems which describe the evolution of process whose continuous dynamics are interrupted by abrupt changes of state. This phenomenon is called impulse. In many natural phenomena, the real deterministic models are often described by systems which involve impulses. By using the impulsive differential equation theory, this project lies on the investigation of convergent non-autonomous systems and the investigation of the non-autonomous Navier-Stokes equation with impulses. First, we intend to study properties of convergent systems. In the sequel, we shall study the attractor theory and the existence of almost periodic and recorrent solutions for the non-autonomous Navier-Stokes equation with impulses. The mathematical analysis of such systems employs techniques of classical functional analysis and dynamical system theory. (AU)
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