Non-autonomous equations in hyperbolic thermoelasticity

• Grant number: 13/04648-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: June 01, 2013
• End date: August 24, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Ma To Fu
• Grantee: Thales Maier de Souza
• 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 the long-time behaviour of solutions of nonlinear hyperbolic equations through theory of nonautonomous infinite dynamical systems. We are mainly interested in nonlinear wave and plate equations of visco and thermoelasticity. To such problems we discuss the global well-posedness and existence of global attractors. (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)

MA, TO FU; SOUZA, THALES MAIER. PULLBACK DYNAMICS OF NON-AUTONOMOUS WAVE EQUATIONS WITH ACOUSTIC BOUNDARY CONDITION. DIFFERENTIAL AND INTEGRAL EQUATIONS, v. 30, n. 5-6, p. 443-462, MAY-JUN 2017. (13/04648-5)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SOUZA, Thales Maier de. Attractors for non-autonomous wave equations with acoustic boundary condition. 2017. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.