[HTML][HTML] Asymptotic stability and bifurcation of time-periodic solutions for the viscous Burgers' equation

SH Chen, CH Hsia, CY Jung, B Kwon - Journal of Mathematical Analysis …, 2017 - Elsevier
We consider the Dirichlet boundary value problem for the viscous Burgers' equation with a
time periodic force on a one dimensional finite interval. Under the boundedness assumption …

On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations

CH Hsia, CY Jung, TB Nguyen, MC Shiue - Numerische Mathematik, 2017 - Springer
In this article, we investigate the time periodic solutions for two-dimensional Navier-Stokes
equations with nontrivial time periodic force terms. Under the time periodic assumption of the …

Dynamics of the three dimensional viscous primitive equations of large-scale moist atmosphere

B You - Communications in Mathematical Sciences, 2021 - intlpress.com
The objective of this paper is to study the long-time behavior of solutions for the three
dimensional viscous primitive equations of large-scale moist atmosphere. Thanks to the …

Dynamic of the three dimensional viscous primitive equations of large-scale atmosphere

B You - arXiv preprint arXiv:1703.05533, 2017 - arxiv.org
The main objective of this paper is to study the existence of a finite dimension global
attractor for the three dimensional viscous primitive equations of large-scale atmosphere …

Global and exponential attractors of the three dimensional viscous primitive equations of large-scale moist atmosphere

B You, F Li - arXiv preprint arXiv:1610.07283, 2016 - arxiv.org
This paper is concerned with the long-time behavior of solutions for the three dimensional
viscous primitive equations of large-scale moist atmosphere. We prove the existence of a …