Tianyuan Mathematical Center
in Southwest China

2018 Thematic Program (II)

Existence and regularity of attractors for the fractional parabolic equations

[TMCSC]

June 16-22, 2018

W303  School of Mathematics, Sichuan University

SPEAKER

Bixiang Wang (New Mexico Institute of Mining & Technology)

ABSTRCT

We discuss the asymptotic behavior of the solutions of a class of fractional reaction-diffusion equations defined in a bounded or unbounded domain. We first prove the well-posedness of the equations by the Galerkin method. We then establish the existence as well as the regularity of global attractors for the dynamical systems generated by the equations. In the case of unbounded domains, we will prove the asymptotic compactness of the solutions by the idea of uniform tail-estimates as well as the spectral decomposition of the solutions in bounded domains.

ORGANIZERS

Kening Lu (Sichuan University)

Weinian Zhang (Sichuan University)

Wen Huang (Sichuan University)

Zeng Lian (Sichuan University)

Xiaohu Wang (Sichuan University)

Linfeng Zhou (Sichuan University)

Jun Shen (Sichuan University)

SUPPORTED BY

Tianyuan Mathematical Center in Southwest China

School of Mathematics, Sichuan University