Simplified two-dimensional model for global atmospheric dynamics

Two-dimensional viscous froth model for foam dynamics.

The two-dimensional viscous froth model is a simple tractable model for foam rheology and coarsening. It includes, but is not confined to, the quasistatic regime. Here we present a detailed analysis and implementation of the model, illustrated with various examples. With certain simplifying assumptions, it provides significant insight into strain-rate-dependent effects in foam rheology and else...

Simplified structures for two-dimensional adaptive notch filters

In this paper, three new methods for two-dimensional (2-D) adaptive notch filter (ANF) are proposed. They not only contain similar and simpler structures but also can be derived by simpler adaptive algorithms compared with the previous ones. They are helpful for 2-D signal processing. Simulation results show that they can eliminate 2-D sinusoidal signals successfully.

Mechanisms for the Development of Locally Low-Dimensional Atmospheric Dynamics

The complexity of atmospheric instabilities is investigated by a combination of numerical experiments and diagnostic tools that do not require the assumption of linear error dynamics. These tools include the well-established analysis of the local energetics of the atmospheric flow and the recently introduced ensemble dimension (E dimension). The E dimension is a local measure that varies in bot...

Two{dimensional Topological Dynamics

Global Dynamics of a Delayed Diffusive Two–strain Disease Model

The aim of this paper is to investigate the global dynamics of a delayed diffusive twostrain disease model. We first study the well-posedness of the model. And then, by selecting appropriate Lyapunov functionals, we demonstrate that the global stability of the model is fully determined by the basic reproduction number. Furthermore, using Schauder fixed point theorem and constructing a pair of u...