Continuity of global attractors: Correctors and convergence rates

• Grant number: 12/06753-8
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2012
• End date: July 31, 2014
• 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

In this project we'll investigate convergence rates for a family of attractors for semigroups in Banach spaces. Some of the problems that we'll study come from homogenization theory. (AU)

Scientific publications

(9)

(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)

PEREIRA, JAMIL V.; SILVA, RICARDO P.. Reaction-diffusion equations in a noncylindrical thin domain. BOUNDARY VALUE PROBLEMS, NOV 20 2013. (12/06753-8)

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)

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)

PEREIRA, MARCONE C.; SILVA, RICARDO P.. ERROR ESTIMATES FOR A NEUMANN PROBLEM IN HIGHLY OSCILLATING THIN DOMAINS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 33, n. 2, p. 803-817, FEB 2013. (12/06753-8, 10/18790-0)

SILVA, RICARDO P.. A NOTE ON RESOLVENT CONVERGENCE ON A THIN DOMAIN. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v. 89, n. 1, p. 141-148, FEB 2014. (12/06753-8)

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)

PEREIRA, MARCONE C.; SILVA, RICARDO P.. CORRECTORS FOR THE NEUMANN PROBLEM IN THIN DOMAINS WITH LOCALLY PERIODIC OSCILLATORY STRUCTURE. QUARTERLY OF APPLIED MATHEMATICS, v. 73, n. 3, p. 537-552, 2015. (12/06753-8)

SILVA, RICARDO P.. Behavior of the p-Laplacian on Thin Domains. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, v. 2013, p. 4-pg., 2013-01-01. (12/06753-8)

PEREIRA, JAMIL V.; SILVA, RICARDO P.. Reaction-diffusion equations in a noncylindrical thin domain. BOUNDARY VALUE PROBLEMS, v. N/A, p. 10-pg., 2013-11-20. (12/06753-8)