Results 91 to 100 of about 54,737 (202)

Pullback Exponential Attractor for Second Order Nonautonomous Lattice System

Discrete Dynamics in Nature and Society, 2014
We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences.
Shengfan Zhou, Hong Chen, Zhaojuan Wang
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Representation of Manifolds for the Stochastic Swift-Hohenberg Equation with Multiplicative Noise

Advances in Mathematical Physics, 2020
Representation of approximation for manifolds of the stochastic Swift-Hohenberg equation with multiplicative noise has been investigated via non-Markovian reduced system.
Yanfeng Guo, Donglong Li
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Quasi‐pullback of Borcherds products [PDF]

Bulletin of the London Mathematical Society, 2019
Quasi-pullback of Borcherds products is an operation of renormalized restriction. It produces a meromorphic modular form on a lower dimensional symmetric domain which is again a Borcherds product. We give an explicit formula for the weakly holomorphic modular form of Weil representation type whose Borcherds lift is the quasi-pullback of the given ...
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Pullback attractors for nonclassical diffusion delay equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms

Electronic Journal of Differential Equations, 2016
In this article, we prove the existence of pullback attractor in $C([-h,0];H^1(\mathbb{R}^N))$ for a stochastic nonclassical diffusion equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms, and the pullback ...
Fang-Hong Zhang, Wei Han
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Pullback attractors for a class of non-autonomous reaction-diffusion equations in R n $\mathbb{R}^{n}$

Boundary Value Problems, 2017
The aim of this paper is to consider the dynamical behaviour for a class of non-autonomous reaction-diffusion equations in R n $\mathbb{R}^{n}$ , where the external force g ( x , t ) $g(x,t)$ satisfies only a certain integrability condition.
Qiangheng Zhang
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Random dynamics of fractional stochastic retarded FitzHugh–Nagumo systems on unbounded domains

Journal of Inequalities and Applications
In this paper, we study the dynamics of fractional nonautonomous stochastic FitzHugh–Nagumo systems with variable delay defined on R n $\mathbb{R}^{n}$ .
Dongjie Gao
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Regularity and Exponential Growth of Pullback Attractors for Semilinear Parabolic Equations Involving the Grushin Operator

Abstract and Applied Analysis, 2012
Considered here is the first initial boundary value problem for a semilinear degenerate parabolic equation involving the Grushin operator in a bounded domain Ω.
Nguyen Dinh Binh
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Pullback attractors for a class of non-Newtonian micropolar fluids

Electronic Journal of Differential Equations, 2018
In this article we study the long time behavior of the two-dimensional flow for non-Newtonian micropolar fluids in bounded smooth domains, in the sense of pullback attractors.
Geraldo M. de Araujo, Marcos A. F. Araujo, Flank D. M. Bezerra, Mirelson M. Freitas   +3 more
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Weak Pullbacks of Topological Groupoids

, 2011
We introduce the category HG, whose objects are topological groupoids endowed with compatible measure theoretic data: a Haar system and a measure on the unit space. We then define and study the notion of weak-pullback in the category of topological groupoids, and subsequently in HG.
Censor, Aviv, Grandini, Daniele
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Random attractors for stochastic lattice reversible Gray-Scott systems with additive noise

Electronic Journal of Differential Equations, 2015
In this article, we prove the existence of a random attractor of the stochastic three-component reversible Gray-Scott system on infinite lattice with additive noise.
Hongyan Li, Junyi Tu
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