Results 61 to 70 of about 220 (182)

Twisted ambidexterity in equivariant homotopy theory

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley   +1 more source

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
doaj  

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains

Abstract and Applied Analysis, 2012
The existence of a pullback random attractor is established for a stochastic three-component reversible Gray-Scott system on unbounded domains. The Gray-Scott system is recast as a random dynamical system and asymptotic compactness which is illustrated ...
Anhui Gu
doaj   +1 more source

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
doaj  

Global Mild Solutions and Attractors for Stochastic Viscous Cahn-Hilliard Equation

Abstract and Applied Analysis, 2011
This paper is devoted to the study of mild solutions for the initial and boundary value problem of stochastic viscous Cahn-Hilliard equation driven by white noise. Under reasonable assumptions we first prove the existence and uniqueness result.
Xuewei Ju, Hongli Wang, Desheng Li, Jinqiao Duan   +3 more
doaj   +1 more source

Invariant manifolds as pullback attractors of nonautonomous differential equations

Discrete and Continuous Dynamical Systems, 2005
We discuss the relationship between invariant manifolds of nonautonomous differential equations and pullback attractors. This relationship is essential, e.g., for the numerical approximation of these manifolds. In the first step, we show that the unstable manifold is the pullback attractor of the differential equation.
Aulbach, Bernd, Rasmussen, Martin, Siegmund, Stefan   +2 more
openaire   +2 more sources

Upper Semicontinuity of Random Attractors for Nonautonomous Stochastic Reversible Selkov System with Multiplicative Noise

Advances in Mathematical Physics, 2019
In this paper, the existence of random attractors for nonautonomous stochastic reversible Selkov system with multiplicative noise has been proved through Ornstein-Uhlenbeck transformation.
Chunxiao Guo, Yanfeng Guo, Xiaohan Li
doaj   +1 more source

Pullback attractor for N-dimensional thermoelastic coupled structure equations

Boundary Value Problems, 2018
In this paper, proving the pullback asymptotic compactness of processes by the aid of a contractive function in space X 0 $X_{0}$ , we prove the existence of a pullback attractor for N-dimensional nonautonomous thermoelastic coupled structure equations u
Danxia Wang, Yinzhu Wang
doaj   +1 more source

Random Attractors for Stochastic Retarded Reaction-Diffusion Equations on Unbounded Domains

Abstract and Applied Analysis, 2013
This paper is devoted to a stochastic retarded reaction-diffusion equation on all d-dimensional space with additive white noise. We first show that the stochastic retarded reaction-diffusion equation generates a random dynamical system by transforming ...
Xiaoquan Ding, Jifa Jiang
doaj   +1 more source