Results 21 to 30 of about 221 (55)

Limiting dynamics for stochastic complex Ginzburg-Landau systems with time-varying delays on unbounded thin domains

Demonstratio Mathematica
This study deals with the limiting dynamics for stochastic complex Ginzburg-Landau systems with time-varying delays and multiplicative noise on unbounded thin domains. We first prove the existence and uniqueness of pullback tempered random attractors for
Li Xintao, Pan Shiyao
doaj   +1 more source

The conflict triad dynamical system

, 2010
A dynamical model of the natural conflict triad is investigated. The conflict interacting substances of the triad are: some biological population, a living resource, and a negative factor (e.g., infection diseases).
Koshmanenko, Volodymyr, Samoilenko, Igor
core   +1 more source

Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations [PDF]

, 2020
The main aim of this letter is to use the strong compact strong trajectory attractor to construct the strong trajectory statistical solutions for two-dimensional dissipative Euler equations.
Caraballo Garrido, Tomás, Song, Zhongchun, Zhao, Caidi   +2 more
core  

Periodic measures of fractional stochastic discrete wave equations with nonlinear noise

Demonstratio Mathematica
The primary focus of this work lies in the exploration of the limiting dynamics governing fractional stochastic discrete wave equations with nonlinear noise.
Li Xintao, She Lianbing, Yao Jingjing
doaj   +1 more source

Longtime Dynamics of The Oregonator System

, 2011
In this work the existence and properties of a global attractor for the solution semiflow of the Oregonator system are proved. The Oregonator system is the mathematical model of the famous Belousov-Zhabotinskii reaction.
You, Yuncheng
core   +1 more source

Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction

, 2017
In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence ...
Iuorio, Annalisa, Melchionna, Stefano
core   +2 more sources

Feedback Control of Nonlinear Dissipative Systems by Finite Determining Parameters - A Reaction-diffusion Paradigm

, 2014
We introduce here a simple finite-dimensional feedback control scheme for stabilizing solutions of infinite-dimensional dissipative evolution equations, such as reaction-diffusion systems, the Navier-Stokes equations and the Kuramoto-Sivashinsky equation.
Azouani, Abderrahim, Titi, Edriss S.
core  

Motion of inertial particles in Gaussian fields driven by an infinite-dimensional fractional Brownian motion [PDF]

, 2012
We study the motion of an inertial particle in a fractional Gaussian random field. The motion of the particle is described by Newton's second law, where the force is proportional to the difference between a background fluid velocity and the particle ...
Schöchtel, Georg
core   +1 more source

Effect of hyperviscosity on the Navier-Stokes turbulence

, 2010
In this paper we modified the Navier-Stokes equations by adding a higher order artificial viscosity term to the conventional system. We first show that the solution of the regularized system converges strongly to the solution of the conventional system ...
Younsi, Abdelhafid
core   +1 more source

Periodic Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Domains

, 2012
This paper is concerned with the asymptotic behavior of solutions of the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains.
Wang, Bixiang
core   +1 more source