Dynamics of semilinear wave equations with localized damping

• Grant number: 19/11824-0
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2019
• End date: July 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Ma To Fu
• Grantee: Ma To Fu
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project is concerned with semilinear waves equations in the modern context of infinite-dimensional dynamical systems. It also involves modeling of real world applications. The main interest are the wave equations featuring two particular properties, namely, supercritical forcing terms and locally distributed damping. Such problems require a fine analyzes involving the concept of observability and unique continuation. (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)

BOCANEGRA-RODRIGUEZ, LITO EDINSON; SILVA, MARCIO ANTONIO JORGE; MA, TO FU; SEMINARIO-HUERTAS, PAULO NICANOR. Longtime Dynamics of a Semilinear Lame System. Journal of Dynamics and Differential Equations, FEB 2021. (19/11824-0)

MA, TO FU; NICANOR SEMINARIO-HUERTAS, PAULO. ATTRACTORS FOR SEMILINEAR WAVE EQUATIONS WITH LOCALIZED DAMPING AND EXTERNAL FORCES. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 19, n. 4, p. 2219-2233, APR 2020. (19/11824-0)

ARAUJO, RAWLILSON O.; MA, TO FU; MARINHO, SHEYLA S.; SEMINARIO-HUERTAS, PAULO N.. Uniform dynamics of partially damped semilinear Bresse systems. APPLICABLE ANALYSIS, v. N/A, p. 15-pg., 2022-09-20. (19/11824-0)

QIN, YUMING; RIVERA, JAIME E. MUNOZ; MA, TO FU. Smooth dynamics of a Timoshenko system with hybrid dissipation. ASYMPTOTIC ANALYSIS, v. 131, n. 1, p. 15-pg., 2023-01-01. (19/11824-0)

BOCANEGRA-RODRIGUEZ, LITO EDINSON; SILVA, MARCIO ANTONIO JORGE; MA, TO FU; SEMINARIO-HUERTAS, PAULO NICANOR. Longtime Dynamics of a Semilinear Lame System. Journal of Dynamics and Differential Equations, v. N/A, p. 22-pg., 2021-02-06. (19/11824-0)

MA, TO FU; MESQUITA, JAQUELINE G.; SEMINARIO-HUERTAS, PAULO N.. SMOOTH DYNAMICS OF WEAKLY DAMPED LAME SYSTEMS WITH DELAY. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v. 53, n. 4, p. 3759-3771, 2021. (19/11824-0)