77 citations · 155 across the 12 of their papers we have counts for
15 papers
On the attractor of the semi-dissipative Boussinesq equations revised
Kexin Li, Chunyou Sun
In this paper, we continue investigate the structure of the weak -attractor for the 2D Boussinesq equations with viscosity and without heat diffusion. Specifically…
Kolmogorov -entropy of the uniform attractor for a wave equation
Yangmin Xiong, Chunyou Sun
This paper is concerned with a non-autonomous sup-cubic semilinear wave equation in a smooth bounded domain of , using the introduced weak topology entropy, we obtai…
Non-concentration phenomenon for one dimensional reaction-diffusion systems with mass dissipation
Juan Yang, Anna Kostianko, Chunyou Sun +2
Reaction-diffusion systems with mass dissipation are known to possess blow-up solutions in high dimensions when the nonlinearities have super quadratic growth rates. In dimension o…
Entropy estimates for uniform attractors of dissipative PDEs with non translation-compact external forces
Yangmin Xiong, Anna Kostianko, Chunyou Sun +1
We study the Kolmogorov's entropy of uniform attractors for non-autonomous dissipative PDEs. The main attention is payed to the case where the external forces are not translation-c…
Analysis of mass controlled reaction-diffusion systems with nonlinearities having critical growth rates
Chunyou Sun, Bao Quoc Tang, Juan Yang
We analyze semilinear reaction-diffusion systems that are mass controlled, and have nonlinearities that satisfy critical growth rates. The systems under consideration are only assu…
Inertial manifolds for 3D complex Ginzburg-Landau equations with periodic boundary conditions
Anna Kostianko, Chunyou Sun, Sergey Zelik
We prove the existence of an Inertial Manifold for 3D complex Ginzburg-Landau equation with periodic boundary conditions as well as for more general cross-diffusion system assuming…