Asymptotic properties of semilinear problems: singular perturbations and applications

• Grant number: 14/16165-1
• Support Opportunities: Regular Research Grants
• Start date: November 01, 2014
• End date: October 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Ricardo Parreira da Silva
• Grantee: Ricardo Parreira da Silva
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

This project contains a proposal for investigate the asymptotic behavior of solutions of nonlinear partial differential equations associated with parabolic systems subjected to perturbations of parameters. The goal is to understand how the variation of some parameters in models of the natural sciences can determine the evolution of their state. Some models that we intend to treat derive from Navier-Stokes, heat and strongly damped waves equations. (AU)

Scientific publications

(4)

(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)

SILVA, RICARDO P.. Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 9, n. 2, SI, p. 251-262, DEC 2015. (14/16165-1, 12/06753-8)

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)

SILVA, RICARDO P.. Global attractors for quasilinear parabolic equations on unbounded thin domains. MONATSHEFTE FUR MATHEMATIK, v. 180, n. 3, p. 649-660, JUL 2016. (12/06753-8, 14/16165-1)

SILVA, RICARDO P.. Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 9, n. 2, p. 12-pg., 2015-12-01. (12/06753-8, 14/16165-1)