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Pullback attractor for non-linear parabolic equations with subdifferential principal part

Grant number: 21/01931-4
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Effective date (Start): October 01, 2021
Effective date (End): September 25, 2025
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Alexandre Nolasco de Carvalho
Grantee:Heraclio Ledgar López Lázaro
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated scholarship(s):22/13001-4 - Finite fractal dimension for non-linear parabolic equations with subdifferential principal part, BE.EP.PD

Abstract

This research project deals with the study of the asymptotic behavior of solutions for a class of non-linear parabolic equations with subdifferential principal part and non-Lipschitz perturbations. In particular, it will be of interest to apply these results to a class of incompressible non-Newtonian fluids. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
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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)
LOPEZ-LAZARO, HERACLIO; NASCIMENTO, MARCELO J. D.; RUBIO, OBIDIO. Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 225, p. 35-pg., . (19/26841-8, 21/01931-4)

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