Hyperbolicity for quasilinear parabolic problems

• Grant number: 20/14353-6
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: July 01, 2021
• End date: March 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alexandre Nolasco de Carvalho
• Grantee: Carlos Roberto Takaessu Junior
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 22/02172-2 - Shadowing and hyperbolicity for quasilinear parabolic problems, BE.EP.DR

Abstract

In this project we propose to study qualitative properties of solutions of quasi-linear problems. We are particularly interested in the study of the saddle point property (for autonomous or non-autonomous problems) under very general conditions that include mathematical models of relevant practical problems. (AU)

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)

NEYRA, JACKELINE HUACCHA; LOPEZ-LAZARO, HERACLIO; RUBIO, OBIDIO; TAKAESSU JUNIOR, CARLOS R.. Pullback exponential attractor of dynamical systems associated with non-cylindrical problems. Journal of Mathematical Analysis and Applications, v. 547, n. 2, p. 30-pg., 2025-07-15. (21/01931-4, 20/14353-6, 22/13001-4, 22/02172-2)

LOPEZ-LAZARO, HERACLIO; NASCIMENTO, MARCELO J. D.; TAKAESSU JR, CARLOS R.; AZEVEDO, VINICIUS T.. Pullback attractors with finite fractal dimension for a semilinear transfer equation with delay in some non-cylindrical domain. Journal of Differential Equations, v. 393, p. 44-pg., 2024-02-20. (22/13001-4, 22/16305-4, 20/14353-6, 21/01931-4, 20/14075-6, 22/02172-2)

BEZERRA, FLANK; SANTOS, LUCAS; SILVA, MARIA; TAKAESSU JR, CARLOS. SPECTRAL ANALYSIS AND EXPONENTIAL STABILITY OF A MOORE-GIBSON-THOMPSON EQUATION. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. N/A, p. 13-pg., 2024-07-24. (20/14353-6)