Academic Report
Title: Stability of exponential attractors for a family of semilinear wave equations with gentle dissipation
Reporter: Prof. YANG Zhijian (Zhengzhou University)
Time: Apirl 26, 2019 (Friday) AM 10:00-11:00
Location: A1101# room, Innovation Park Building
Contact: Prof. LI Fengquan (tel:15164005929)
Abstract: In this talk, we are concerned with the stability of exponential attractors for a family of semilinear wave equations with gentle dissipation. (i) We propose a new criterion on the existence and stability of a family of exponential attractors depending on the perturbation parameters. (ii) By applying this criterion to the equations, we construct a family of exponential attractors and show their stability on the dissipative exponent.
The brief introduction to the reporter: Yang Zhijian is a professor and doctoral supervisor of Zhengzhou University. He is the leader of cross-century academic technology in Henan Province and the executive director of Henan Mathematics Association. He has received Ph.D. in Science from Zhengzhou University and Ph.D. in Mathematics from Kyushu University in Japan. Currently a critic of Mathematical Reviews in the United States, Editorial Board of Journal of Partial Differential Equations. He presided over three projects on the National Natural Science Foundation and six projects on the Henan Natural Science Foundation. He was rewarded the second prize for scientific and technological progress in Henan Province. Professor Yang Zhijian mainly studies the well-posedness of nonlinear evolution equations and the long-term dynamic behavior of corresponding infinite-dimensional (autonomous and non-autonomous) dynamical systems. For example, Kirchhoff wave equation, Boussineaq principal wave equation, non-linear elastic beam equation, non-linear damped wave equation and so on. The research results are mainly published in J. Differential Equations, Nonlinearity, Discrete Contin. Dyn. Syst., Discrete Contin. Dyn. SystB., Commun. Contemp. Math., Appl. Math. Lett., JMAA, Nonlinear Anal., Dynamics of PDE, Commun. Pure Appl. Anal., J. Math. Ph. and other SCI journals.
