44 citations · 312 across the 44 of their papers we have counts for
4 papers · 1 filter
Pattern Formations of 2D Rayleigh-Bènard Convection with No-Slip Boundary Conditions for the Velocity at the Critical Length Scales
Taylan Sengul, Jie Shen, Shouhong Wang
We study the Rayleigh-B{é}nard convection in a 2-D rectangular domain with no-slip boundary conditions for the velocity. The main mathematical challenge is due to the no-slip bound…
Pattern Formation in Rayleigh Benard Convection
Taylan Sengul, Shouhong Wang
The main objective of this article is to study the three-dimensional Rayleigh-Benard convection in a rectangular domain from a pattern formation perspective. It is well known that…
Formation and Persistence of Spatiotemporal Turing Patterns
Hans G. Kaper, Shouhong Wang, Masoud Yari
This article is concerned with the stability and long-time dynamics of structures arising from a structureless state. The paradigm is suggested by developmental biology, where morp…
Attractor Bifurcation of Three-Dimensional Double-Diffusive Convection
Chun-Hsiung Hsia, Tian Ma, Shouhong Wang
In this article, we present a bifurcation analysis on the double-diffusive convection. Two pattern selections, rectangles and squares, are investigated. It is proved that there are…