Results 71 to 80 of about 46,976 (223)

On One Method of Studying Spectral Properties of Non-selfadjoint Operators

open access: yesAbstract and Applied Analysis, 2020
In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space. We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint.
Maksim V. Kukushkin
doaj   +1 more source

Pullback attractors for nonclassical diffusion delay equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms

open access: yesElectronic 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  

Attractor for a Reaction-Diffusion System Modeling Cancer Network

open access: yesAbstract and Applied Analysis, 2014
A reaction-diffusion cancer network regulated by microRNA is considered in this paper. We study the asymptotic behavior of solution and show the existence of global uniformly bounded solution to the system in a bounded domain Ω⊂Rn.
Xueyong Chen   +2 more
doaj   +1 more source

Pullback 𝒟-Attractor of Nonautonomous Three-Component Reversible Gray-Scott System on Unbounded Domains

open access: yesAbstract and Applied Analysis, 2013
The long time behavior of solutions of the nonautonomous three-components reversible Gray-Scott system defined on the entire space ℝn is studied when the external forcing terms are unbounded in a phase space.
Anhui Gu
doaj   +1 more source

Global compact attractors and complete bounded trajectories for compressible magnetohydrodynamic system of equations [PDF]

open access: yesTheoretical and Applied Mechanics
In this article, we investigate the global behavior of magnetohydrodynamic (MHD) fluid’s weak solutions in three-dimensional bounded domain with a compact Lipschitz boundary driven by arbitrary forces.
Muhammad Jan
doaj   +1 more source

Asymptotically quasi-compact products of bounded linear operators [PDF]

open access: yesJournal of the Australian Mathematical Society, 1973
It is known (see, for instance, [1] p. 64, [6] p. 264) that, if A and B are bounded linear operators on a Banach space into itself (or, more generally, if A is a bounded linear operator on into a Banach space and B is a bounded linear operator on into), then AB and BA have the same spectrum except (possibly) for zero.
openaire   +2 more sources

Pullback attractor of the 2D non-autonomous magneto-micropolar fluid equations

open access: yesOpen Mathematics
The purpose of this article is to establish the existence of the pullback attractors for the non-autonomous magneto-micropolar fluid equations in 2D bounded domains.
Zhou Gang, Gao Rui, Tian Congyang
doaj   +1 more source

Exact Asymptotics for some Probability Distributions on Compact Manifolds

open access: yesThe Annals of Statistics, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Sharp asymptotic estimates for vorticity solutions of the 2D Navier-Stokes equation

open access: yesElectronic Journal of Differential Equations, 2008
The asymptotic dynamics of high-order temporal-spatial derivatives of the two-dimensional vorticity and velocity of an incompressible, viscous fluid flow in $mathbb{R}^2$ are studied, which is equivalent to the 2D Navier-Stokes equation.
Yuncheng You
doaj  

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