44 citations · 293 across the 28 of their papers we have counts for
9 papers · 1 filter
Phase Transitions for the Brusselator Model
Tian Ma, Shouhong Wang
Dynamic phase transitions of the Brusselator model is carefully analyzed, leading to a rigorous characterization of the types and structure of the phase transitions of the model fr…
Phase Transitions for Belousov-Zhabotinsky Reactions
Tian Ma, Shouhong Wang
The main objective of this article is to study the dynamic phase transitions associated with the spatial-temporal oscillations of the BZ reactions, given by Field, Koros and Noyes,…
Dynamic Transition and Pattern Formation in Taylor Problem
Tian Ma, Shouhong Wang
The main objective of this article is to study both dynamic and structural transitions of the Taylor-Couette flow, using the dynamic transition theory and geometric theory of incom…
Tropical Atmospheric Circulations: Dynamic Stability and Transitions
Tian Ma, Shouhong Wang
In this article, we present a mathematical theory of the Walker circulation of the large-scale atmosphere over the tropics. This study leads to a new metastable state oscillation t…
Cahn-Hilliard Equations and Phase Transition Dynamics for Binary Systems
Tian Ma, Shouhong Wang
The process of phase separation of binary systems is described by the Cahn-Hilliard equation. The main objective of this article is to give a classification on the dynamic phase tr…
Dynamic Phase Transitions in PVT Systems
Tian Ma, Shouhong Wang
The main objective of this article are two-fold. First, we introduce some general principles on phase transition dynamics, including a new dynamic transition classification scheme,…
Addendum to the paper "Two-Dimensional Infinite Prandtl Number Convection: Structure of Bifurcated Solutions, J. Nonlinear Sci., 17(3), 199-220, 2007"
Tian Ma, Jungho Park, Shouhong Wang
The main objective of this addendum to the mentioned article by Park is to provide some remarks on bifurcation theories for nonlinear partial differential equations (PDE) and their…
Boundary-Layer and Interior Separations in the Taylor--Couette--Poiseuille Flow
Tian Ma, Shouhong Wang
In this article, we derive a rigorous characterization of the boundary-layer and interior separations in the Taylor-Couette-Poiseuille (TCP) flow. The results obtained provide a ri…
Stratified Rotating Boussinesq Equations in Geophysical Fluid Dynamics: Dynamic Bifurcation and Periodic Solutions
Chun-Hsiung Hsia, Tian Ma, Shouhong Wang
The main objective of this article is to study the dynamics of the stratified rotating Boussinesq equations, which are a basic model in geophysical fluid dynamics. First, for the c…