The impulsive non autonomous Navier-Stokes equation

• Grant number: 12/08473-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 2012
• End date: June 30, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Everaldo de Mello Bonotto
• Grantee: Jaqueline Godoy Mesquita
• Host 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 the non-autonomous Navier-Stokes equation with impulses. We intend to study the attractor theory,the existence of almost periodic and recorrent solutions and get the global averaging principle 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.

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)

BONOTTO, E. M.; MESQUITA, J. G.; SILVA, R. P.. Global Mild Solutions for a Nonautonomous 2D Navier-Stokes Equations with Impulses at Variable Times. Journal of Mathematical Fluid Mechanics, v. 20, n. 2, p. 801-818, JUN 2018. (12/16709-6, 14/16165-1, 16/24711-1, 12/08473-2)