Academic report
Report title: Dynamics of stochastic fractional Boussinesq equation
Reporter: Prof, HUANG Jianhua (National University of Defense Technology)
Report time: September 29, 2016 (Thursday) AM 8:30-9:30
Location: A1101#room, Innovation Park Building
Contact: Prof. LIU Zhenxin (tel: 84708351-8022)
Abstract: In this talk, we present some results on stochastic fractional Boussinesq equations (SFBEs). The global well-posedness and the existence of random attractor for (SFBEs) are established under some suitable assumptons. The existence and uniqueness of the invariant measure for (SFBEs) driven by alpha stable noise are also obtained. Finally, the ergodicity of (SFBEs) driven by degenerated noise is provided by asymptotic strong Feller and the support method. This is a joint work with SHEN Tianlong.
Brief introduction to the reporter: Dr. HUANG Jianhua is a profrssor and doctoral supervisor at the Department of Mathematics in National University of Defense Technology. His main research focuses on travelling wave solutions of Nonlinear partial differential equations and dynamics of nonautonomous Infinite-dimension Dynamical System. He once was honored with the silver medal of military college yucai award, and presided over many projects on Natural Science Foundation of China and Natural Science Foundation of Hunan province. He acquired the second prize of National Natural Science Award of Hunan province and the first prize of teaching achievements award of Hunan province. He has been to Auburn University of America, Memorial University, York University, Dalhousie University of Canada and Seavile University of Spain as visiting scholar and carried on cooperation study.
School of Mathematics Sciences,
Dalian University of Technology
September 23, 2016
