Pullback𝒟-Attractor of Nonautonomous Three-Component Reversible Gray-Scott System on Unbounded Domains

Random Attractors for Stochastic Three-Component Reversible Gray-Scott System on Infinite Lattices

Upper semicontinuity of random attractors for stochastic three-component reversible Gray-Scott system

We consider the upper semicontinuity of the global random attractors for the stochastic three-component reversible Gray–Scott system on unbounded domains when the intensity of the noise converges to zero. 2013 Elsevier Inc. All rights reserved.

Random Attractors for Stochastic Three-Component Reversible Gray-Scott System with Multiplicative White Noise

Gray - Scott Model

In this paper, we rigorously prove the existence and stability of asymmetric spotty patterns for the Gray-Scott model in a bounded two dimensional domain. We show that given any two positive integers k 1 ; k 2 , there are asymmetric solutions with k 1 large spots (type A) and k 2 small spots (type B). We also give conditions for their location and calculate their heights. Most of these asymmetr...

The Global Attractor for the 2d Navier-stokes Flow on Some Unbounded Domains

We extend previous results on the existence of the global attractor for the 2D Navier-Stokes equations on some unbounded domains in the sense that the forcing term need not lie in any weighted space nor is the boundary of the domain required to be smooth. The existence of the global attractor is obtained on arbitrary open sets such that the Poincaré inequality holds and for forces in the natura...