44 citations · 312 across the 44 of their papers we have counts for
45 papers
Cahn-Hilliard Equations on Lattices: Dynamic Transitions and Pattern Formations
Jared Grossman, Evan Halloran, Shouhong Wang
This article examines the dynamic phase transitions and pattern formations attributed to binary systems modeled by the Cahn-Hilliard equation. In particular, we consider a two-dime…
Transitions in Stochastic Non-equilibrium Systems: Efficient Reduction and Analysis
Mickaël D. Chekroun, Honghu Liu, James C. McWilliams +1
A central challenge in physics is to describe non-equilibrium systems driven by randomness, such as a randomly growing interface, or fluids subject to random fluctuations that acco…
Transitions of zonal flows in a two-layer quasi-geostrophic ocean model
Mickael D. Chekroun, Henk Dijkstra, Taylan Şengül +1
We consider a 2-layer quasi-geostrophic ocean model where the upper layer is forced by a steady Kolmogorov wind stress in a periodic channel domain, which allows to mathematically…
Dynamic Transitions and Baroclinic Instability for 3D Continuously Stratified Boussinesq Flows
Taylan Şengül, Shouhong Wang
The main objective of this article is to study the nonlinear stability and dynamic transitions of the basic (zonal) shear flows for the three-dimensional continuously stratified ro…
Baroclinic Instability and Transitions in a Two-Layer Quasigeostrophic Channel Model
Ming Cai, Marco Hernandez, KiahWah Ong +1
The main objective of this article is to derive a mathematical theory associated with the nonlinear stability and dynamic transitions of the basic shear flows associated with baroc…
Low-Dimensional Galerkin Approximations of Nonlinear Delay Differential Equations
Mickaël D. Chekroun, Michael Ghil, Honghu Liu +1
This article revisits the approximation problem of systems of nonlinear delay differential equations (DDEs) by a set of ordinary differential equations (ODEs). We work in Hilbert s…