Nonautonomous dynamical systems of evolution equations on domains with moving boundary

• Grant number: 14/17080-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2015
• End date: May 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Ma To Fu
• Grantee: Xinguang Yang
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This proposal is concerned with nonlinear evolution equations from the point of view of infinite dimensional dynamical systems. It is a current research theme and its quality can be verified from the high level of its publications. Our main concern are the nonlinear wave equations and Navier-Stokes equations both defined on domain with moving boundary. We investigate the existence of pullback attractors and their structures. (AU)

Scientific publications

(8)

(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)

YANG, XINGUANG; FENG, BAOWEI; DE SOUZA, THALES MAIER; WANG, TAIGE. LONG-TIME DYNAMICS FOR A NON-AUTONOMOUS NAVIER-STOKES-VOIGT EQUATION IN LIPSCHITZ DOMAINS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 24, n. 1, SI, p. 363-386, JAN 2019. (14/17080-0)

FENG, BAOWEI; YANG, XIN-GUANG; QIN, YUMING. Uniform attractors for a nonautonomous extensible plate equation with a strong damping. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 40, n. 10, p. 3479-3492, JUL 15 2017. (14/17080-0)

YANG, XIN-GUANG; QIN, YUMING; LU, YONGJIN; MA, TO FU. Dynamics of 2D Incompressible Non-autonomous Navier-Stokes Equations on Lipschitz-like Domains. APPLIED MATHEMATICS AND OPTIMIZATION, v. 83, n. 3, p. 55-pg., 2019-11-06. (14/17080-0)

YANG, XIN-GUANG; QIN, YUMING; LU, YONGJIN; MA, TO FU. Dynamics of 2D Incompressible Non-autonomous Navier-Stokes Equations on Lipschitz-like Domains. APPLIED MATHEMATICS AND OPTIMIZATION, NOV 2019. (14/17080-0)

YANG, XIN-GUANG; FENG, BAOWEI; WANG, SHUBIN; LU, YONGJIN; MA, TO FU. Pullback dynamics of 3D Navier-Stokes equations with nonlinear viscosity. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 48, p. 337-361, AUG 2019. (14/17080-0)

FENG, BAOWEI; YANG, XIN-GUANG. Long-time dynamics for a nonlinear Timoshenko system with delay. APPLICABLE ANALYSIS, v. 96, n. 4, p. 606-625, 2017. (14/17080-0)

LI, JUNTAO; WANG, YADI; YANG, XIN-GUANG. Pullback attractors of 2D Navier-Stokes equations with weak damping, distributed delay, and continuous delay. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 39, n. 12, p. 3186-3203, AUG 2016. (14/17080-0)

YANG, XINGUANG; FENG, BAOWEI; DE SOUZA, THALES MAIER; WANG, TAIGE. LONG-TIME DYNAMICS FOR A NON-AUTONOMOUS NAVIER-STOKES-VOIGT EQUATION IN LIPSCHITZ DOMAINS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 24, n. 1, p. 24-pg., 2019-01-01. (14/17080-0)