Results 31 to 40 of about 309 (70)

Bi-spaces global attractors in abstract parabolic equations

, 2003
An abstract semilinear parabolic equation in a Banach space X is considered. Under general assumptions on nonlinearity this problem is shown to generate a bounded dissipative semigroup on X.
J. Cholewa, Tomasz Dłotko
semanticscholar   +1 more source

Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations [PDF]

arXiv, 2020
We prove existence of the global attractor of the damped and driven 2D Euler--Bardina equations on the torus and give an explicit two-sided estimate of its dimension that is sharp as $\alpha\to0^+$.
arxiv  

Abstract parabolic problems in ordered Banach spaces

, 2001
Parabolic Problems in Ordered Banach Spaces Alexandre N. Carvalho* Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970 São Carlos SP, Brazil E-mail ...
A. Carvalho, J. Cholewa, Tomasz Dłotko
semanticscholar   +1 more source

Pullback attractors for fractional lattice systems with delays in weighted space

Open Mathematics
This article deals with the asymptotic behavior of fractional lattice systems with time-varying delays in weighted space. First, we establish some sufficient conditions for the existence and uniqueness of solutions.
Li Xintao, Wang Shengwen
doaj   +1 more source

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

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

A note on approximate controllability of second-order impulsive stochastic Volterra-Fredholm integrodifferential system with infinite delay

Journal of King Saud University: Science, 2023
This manuscript examines the approximate controllability of a second-order stochastic Volterra-Fredholm integrodifferential system including delay and impulses.
Yong-Ki Ma, M. Johnson, V. Vijayakumar, T. Radhika, Anurag Shukla, Kottakkaran Sooppy Nisar   +5 more
doaj  

A Determining Form for a Nonlocal System

Advanced Nonlinear Studies, 2017
This work is concerned with constructing a finite dimensional form (named determining form) by adding a feedback control term through an interpolation operator. The dynamics of the determining form is consistent with those of the original system.
Bai Lu, Yang Meihua
doaj   +1 more source

On the energy decay of a coupled nonlinear suspension bridge problem with nonlinear feedback

Open Mathematics
In this article, we study a mathematical model for a one-dimensional suspension bridge problem with nonlinear damping. The model takes into consideration the vibration of the bridge deck in the vertical plane and main cable from which the bridge deck is ...
Al-Gharabli Mohammad M.
doaj   +1 more source

Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains [PDF]

arXiv, 2011
We show that the stochastic flow generated by the Stochastic Navier-Stokes equations in a 2-dimensional Poincar\'e domain has a unique random attractor. This result complements a recent result by Brze\'zniak and Li [10] who showed that the flow is asymptotically compact and generalizes a recent result by Caraballo et al.
arxiv