Results 41 to 50 of about 2,716 (225)

Regularity Results and Exponential Growth for Pullback Attractors of a Non-Autonomous Reaction-Diffusion Model with Dynamical Boundary Conditions [PDF]

open access: yes, 2014
In this paper, we prove some regularity results for pullback attractors of a non-autonomous reaction–diffusion model with dynamical boundary conditions considered in Anguiano (2011).
Anguiano Moreno, María   +2 more
core   +1 more source

Time-Dependent Attractor for the Oscillon Equation [PDF]

open access: yes, 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
core   +1 more source

Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains

open access: yesBulletin 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
doaj   +1 more source

Criteria for strong and weak random attractors

open access: yes, 2008
The theory of random attractors has different notions of attraction, amongst them pullback attraction and weak attraction. We investigate necessary and sufficient conditions for the existence of pullback attractors as well as of weak ...
B. Schmalfuß   +19 more
core   +1 more source

On attractors, spectra and bifurcations of random dynamical systems [PDF]

open access: yes, 2015
In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
core   +1 more source

Stability of random attractors for non-autonomous stochastic $ p $-Laplacian lattice equations with random viscosity

open access: yesAIMS Mathematics
In this paper, we investigate the stability of pullback random attractors for non-autonomous stochastic $ p $-Laplacian lattice systems, which are influenced by random viscosity and multiplicative white noise. Under appropriate conditions, we first prove
Xin Liu
doaj   +1 more source

Robustness of 3D Navier–Stokes System with Increasing Damping

open access: yesApplied Sciences, 2023
The principal objective of the paper is the study of the three-dimensional Navier–Stokes system with non-autonomous perturbation force term and increasing damping term, which often appears in the fluid system within saturated porous media and other ...
Jie Cao, Keqin Su
doaj   +1 more source

The Pullback Attractors for the Nonautonomous Camassa‐Holm Equations [PDF]

open access: yesMathematical Problems in Engineering, 2009
We consider the pullback attractors for the three‐dimensional nonautonomous Camassa‐Holm equations in the periodic box Ω = [0, L] 3. Assuming , which is translation bounded, the existence of the pullback attractor for the three‐dimensional nonautonomous Camassa‐Holm system is proved in D(A1/2) and D(A).
openaire   +2 more sources

Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping [PDF]

open access: yes, 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
core   +2 more sources

Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains [PDF]

open access: yes, 2006
In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system under the general assumptions of pullback asymptotic ...
Caraballo Garrido, Tomás   +2 more
core   +3 more sources

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