Invited by Prof. Chunyou Sun of School of Mathematics and Statistics,

Prof. Qiaozhen Ma of Northwest Normal University will visit our school and give a lecture during her staying from June 30th to July 6th in 2019.

Title: Time-dependent asymptotic behavior of solutions for dissipative wave equations

Time：11:10 am, July 3rd, 2019

Location：Lecture Room, Mingdao Building, Medical Compus of Lanzhou Univerisity

Abstract: In this talk, on one hand, we consider the time-dependent asymptotic behavior of solutions for the wave equation with linear memory on the bounded domain. We first obtain the existence and regularity of the time-dependent global attractor by using the operator decomposition technique along with compactness theorem acting on the history spaces. Second, the asymptotic structure of time- dependent global attractor, which converges to the global attractor of parabolic equation with memory, is proved. Finally, we achieve a further regular result about ut. On the other hand, we present a new concept so called asymptotic contractive process on the time-dependent entire space, and prove that this asymptotic contractive process is pullback asymptotically compact. Besides, exploiting such a new technique we obtain existence of time-dependent global attractors for the plate equations on the unbounded domain.

Curriculum Vitae: Prof. Ma Qiaozhen, female, Hui nationality, member of the Communist Party of China, Qinan, Gansu. She is an expert in the field of infinite dynamical systems. From September 1992 to June 1996, she studied at the college of mathematics and statistics in Northwest Normal University. From June 1996 to June 2000, she taught at the college of Computer Science of Northwest Normal University. During the period from September 1998 to July 2001, she studied for a master's degree in mathematics at Northwest Normal University. Since June 2000, she has taught at the School of Mathematics and Statistics of Northwest Normal University. She studied PhD at Lanzhou University from September 2001 to July 2004. In October 2004, she was promoted to associate professor. In August 2008, she was promoted to professor. She is currently a professor and doctoral supervisor at the college of Mathematics and Statistics at Northwest Normal University, member of the 11th National Youth Federation and commentator on American Mathematical Review.

Provincial Key Laboratory of Applied Mathematics and Complex Systems, Gansu Province

School of mathematics and statistics

CuiyingHonors College

July 1st, 2019