主讲人简介

Sergey Zelik is aprofessor of University of Surrey, UK. He got the PhD in mathematics fromMoscow State University. His research field is infinitedimensional dissipativedynamical systems generated by partial differential equations of mathematical physics.

内容摘要

We discuss the dynamics generated by weaklydamped wave equations in bounded 3D domains where the damping exponent dependsexplicitly on time and may change sign. It is shown that in the case when thenon-linearity is superlinear, the considered equation remains dissipative ifthe weighted mean value of the dissipation rate remains positive.Twoprincipally different cases are considered. In the case when this mean isuniform (which corresponds to deterministic dissipation rate), it is shown thatthe considered system possesses smooth uniform attractors as

well asnon-autonomous exponential attractors. In the case where the mean is notuniform (which corresponds to the random dissipation rate), the tempered randomattractor is constructed. In contrast to the usual situation, this randomattractor is expected to have infinite dimension.

报告主持：秦玉明 教授

报告语言：英语