Dynamical systems given by semilinear parabolic equations

• Grant number: 13/22275-1
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2014
• End date: February 29, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcone Corrêa Pereira
• Grantee: Marcone Corrêa Pereira
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

In this project we are interested in analyze the asymptotic behavior of the solutions of dynamical systems given by perturbed Semilinear Parabolic Problems. We main investigate upper and lower continuity of attractors as well as of the set of state solutions of the system comparing the perturbed dynamics with one defined by the limit problem in appropriated Banach spaces. (AU)

Scientific publications

(6)

(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)

BARBOSA, PRICILA S.; PEREIRA, ANTONIO L.; PEREIRA, MARCONE C.. Continuity of attractors for a family of C-1 perturbations of the square. Annali di Matematica Pura ed Applicata, v. 196, n. 4, p. 1365-1398, AUG 2017. (13/22275-1)

PEREIRA, MARCONE C.. Parabolic problems in highly oscillating thin domains. Annali di Matematica Pura ed Applicata, v. 194, n. 4, p. 1203-1244, AUG 2015. (13/22275-1)

PAZANIN, I.; PEREIRA, M. C.; SUAREZ-GRAU, F. J.. Asymptotic Approach to the Generalized Brinkman's Equation with Pressure-Dependent Viscosity and Drag Coefficient. JOURNAL OF APPLIED FLUID MECHANICS, v. 9, n. 6, p. 3101-3107, 2016. (13/22275-1)

PEREIRA, MARCONE CORREA. Asymptotic analysis of a semilinear elliptic equation in highly oscillating thin domains. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v. 67, n. 5, OCT 2016. (13/22275-1)

BARROS, SAULO R. M.; PEREIRA, MARCONE C.. Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary. Journal of Mathematical Analysis and Applications, v. 441, n. 1, p. 375-392, SEP 1 2016. (13/22275-1)

PAZANIN, IGOR; PEREIRA, MARCONE C.. ON THE NONLINEAR CONVECTION-DIFFUSION-REACTION PROBLEM IN A THIN DOMAIN WITH A WEAK BOUNDARY ABSORPTION. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 17, n. 2, p. 579-592, MAR 2018. (13/22275-1)