Special Session 31: 

Dynamics of almost periodic parabolic equations on the circle

Dun Zhou
Nanjing University of Science and Technology
Peoples Rep of China
Co-Author(s):    Wenxian Shen; Yi Wang
Abstract:
In this talk, we consider the skew-product semiflows generated by almost periodic semilinear parabolic equations on the circle. Structures of Omega limit sets of bounded solutions of these equations were thoroughly investigated. Our results show that there are some essential differences between general non-autonomous systems and autonomous systems, or even periodic systems; moreover, almost-periodically forced circle flows may occur in these systems. This is a joint work with Prof. Wenxian Shen and Prof. Yi Wang.