At the invitation of Professor Chunyou Sun in the institute of Mathematics and Statistics of Lanzhou University, Prof. Elena Kopylova (Department of Mathematics, University of Vienna, Austria) will visit Lanzhou University from June 24 to July 6 in 2019, and make an academic report.

Title：Global attractor for nonrelativistic particle coupled to scalar field

Time:16:40 pm, July 3, 2019

Location:Lecture Room, Mingdao Building, Lanzhou University

Abstract：We consider the Hamiltonian system of scalar wave field and a single nonrelativistic particle coupled in a translation invariant manner. The point particle is also subject to a confining external potential. The stationary solutions of the system are a Coulomb type wave field centered at those particle positions for which the external force vanishes. We prove that solutions of finite energy converge, in suitable local energy seminorms, to the set S of all stationary states in the long time limit t→±∞. The rate of relaxation to a stable stationary state is determined by spatial decay of initial data. The convergence is followed by the radiation of the dispersion wave which is a solution to the free wave equation.

CVof Elena Kopylova Researcher：

Elena Kopylova Senior Scientist is one of the active experts in the field of international infinite dimensional dynamical systems. He is currently a Senior Scientist at theInstitute for Information Transmission Problems RASandVienna University, Austria. Elena Kopylova Senior Scientist obtained a degree of Ph.D. in Moscow State University in 1986, became aDoctor of Phys.& Math. Sciences: IITP RASin 2013, and got Habilitation in the University of Vienna in 2015. He as a Senior Scientist inM.V.Keldysh Institute of Applied Mathematics RASduring2004-2007.

Elena Kopylova Senior Scientist is excellent in the field of Long time behavior of solutions to linear and nonlinear PDEs、scattering theory、limit theorem for random processes, especially the stability problems of solutions of nonlinear partial differential equations、dispersion estimate etc.; In the study of specific problems, she has systematically and in-depth research on the Klein-Gordon equations and the Schrödinger equations, and got a series of profound results. He has published more than 50 academic papers in international academic journals such as J. Funct. Analysis, Commun. Math. Anal., SIAM J. Math. Anal., Markov Processes Relat. Fields, Comm. Partial Differential Equations, J. Differential Equations etc, an academic monograph and more than 40 conference papers at various international conferences.

Welcome to participate!

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

School of mathematics and statistics

CuiyingHonors College

July 1st, 2019