Results 51 to 60 of about 754,834 (272)
Abstract and Applied Analysis, 2013 We consider the existence of -pullback attractor for nonautonomous primitive equations of large-scale ocean and atmosphere dynamics in a three-dimensional bounded cylindrical domain by verifying pullback condition.
Kun Li, Fang Li
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Pullback attractor of Hopfield neural networks with multiple time-varying delays
AIMS Mathematics, 2021 This paper deals with the attractor problem of Hopfield neural networks with multiple time-varying delays. The mathematical expression of the networks cannot be expressed in the vector-matrix form due to the existence of the multiple delays, which leads ...
Qinghua Zhou +3 more
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Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains [PDF]
, 2013 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.
Brzeźniak, Z. +5 more
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Pullback and forward attractors of contractive difference equations
International Journal of Dynamical Systems and Differential Equations, 2021 The construction of attractors of a dissipative difference equation is usually based on compactness assumptions. In this paper, we replace them with contractivity assumptions under which the pullback and forward attractors are identical. As a consequence, attractors degenerate to unique bounded entire solutions.
Huy Huynh, Abdullah Kalkan
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Pullback attractors of nonautonomous reaction–diffusion equations
Journal of Mathematical Analysis and Applications, 2006 AbstractIn this paper, firstly we introduce the concept of norm-to-weak continuous cocycle in Banach space and give a technical method to verify this kind of continuity, then we obtain some abstract results for the existence of pullback attractors about this kind of cocycle, using the measure of noncompactness. As an application, we prove the existence
Haitao Song, Hongqing Wu
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Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
Discrete Dynamics in Nature and Society, 2018 We consider the backwards topological property of pullback attractors for the nonautonomous MHD equations. Under some backwards assumptions of the nonautonomous force, it is shown that the theoretical existence result for such an attractor is derived ...
Jiali Yu, Wenhuo Su, Dongmei Xu
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Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping [PDF]
, 2016 We discuss the nonlinear phenomena of irreversible tipping for non-autonomous systems where time-varying inputs correspond to a smooth "parameter shift" from one asymptotic value to another.
Ashwin, Peter +2 more
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Bulletin of Mathematical Sciences, 2021 This paper deals with the asymptotic behavior of solutions to non-autonomous, fractional, stochastic p-Laplacian equations driven by additive white noise and random terms defined on the unbounded domain ℝN.
Renhai Wang, Bixiang Wang
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Asymptotic behaviour of the non-autonomous 3D Navier-Stokes problem with coercive force [PDF]
, 2010 We construct pullback attractors to the weak solutions of the three-dimensional Dirichlet problem for the incompressible Navier-Stokes equations in the case when the external force may become unbounded as time goes to plus or minus infinity.Comment: 22 ...
Vorotnikov, Dmitry
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Time-Dependent Attractor for the Oscillon Equation [PDF]
, 2010 We investigate the asymptotic behavior of the nonautonomous evolution problem generated by the Klein-Gordon equation in an expanding background, in one space dimension with periodic boundary conditions, with a nonlinear potential of arbitrary polynomial ...
Di Plinio, Francesco +2 more
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