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Asymptotic stability of nonlocally defined evolution equations.

Grant number: 08/00123-7
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): June 01, 2008
Effective date (End): June 30, 2010
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Ma To Fu
Grantee:Marcio Antonio Jorge da Silva
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil


This project deals in a unified way the modeling and mathematical analysis of hyperbolic and parabolic systems with nonlocally defined terms. Using tools from Nonlinear Analysis such as Semigroup Theory, Degree Theory and Variational Methods, one discusses the asymptotic stability and the existence of global attractors.

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Scientific publications (4)
(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)
SILVA, M. A. JORGE; MA, T. F.; RIVERA, J. E. MUNOZ. Mindlin-Timoshenko systems with Kelvin-Voigt: analyticity and optimal decay rates. Journal of Mathematical Analysis and Applications, v. 417, n. 1, p. 164-179, SEP 1 2014. Web of Science Citations: 4.
JORGE SILVA, M. A.; MA, T. F. On a viscoelastic plate equation with history setting and perturbation of p-Laplacian type. IMA JOURNAL OF APPLIED MATHEMATICS, v. 78, n. 6, p. 1130-1146, DEC 2013. Web of Science Citations: 15.
JORGE SILVA, MARCIO ANTONIO; MA, TO FU. Long-time dynamics for a class of Kirchhoff models with memory. Journal of Mathematical Physics, v. 54, n. 2 FEB 2013. Web of Science Citations: 19.
ANDRADE, D.; JORGE SILVA, M. A.; MA, T. F. Exponential stability for a plate equation with p-Laplacian and memory terms. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 35, n. 4, p. 417-426, MAR 15 2012. Web of Science Citations: 21.

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