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Regularity and upper semicontinuity of pullback attractors for non-autonomous Rao–Nakra beam

Nonlinearity, 2022
In this paper we study the long-time dynamics of a non-autonomous Rao–Nakra sandwich beam. The governing equations of Rao–Nakra sandwich beam consist of two wave equations for the longitudinal displacements of the top and bottom layers, and one Euler ...
M. Aouadi
semanticscholar   +1 more source

Hyperemic hemodynamic characteristics of serial coronary lesions assessed by pullback pressure gradients

Catheterization and cardiovascular interventions, 2021
To characterize hemodynamics of serial coronary stenoses using fractional flow reserve (FFR) pullbacks and the pullback pressure gradients (PPG) index.
A. Candreva   +13 more
semanticscholar   +1 more source

Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021
In this paper, we prove the existence and regularity of pullback attractors for non-autonomous nonclassical diffusion equations with nonlocal diffusion when the nonlinear term satisfies critical exponential growth and the external force term $h \in L_{l ...
Yuming Qin, Bin-Yan Yang
semanticscholar   +1 more source

Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole space

Differential and Integral Equations, 2021
In this work, we analyze the long time behavior of 2D as well as 3D convective Brinkman-Forchheimer (CBF) equations and its stochastic counter part with non-autonomous deterministic forcing term in $\mathbb{R}^d$ $ (d=2, 3)$: $$\frac{\partial\boldsymbol ...
Kush Kinra, M. T. Mohan
semanticscholar   +1 more source

Pullback Attractors of the Bingham Model

Дифференциальные уравнения, 2023
Based on the theory of trajectory pullback attractors, we study the qualitative behavior of weak solutions for the Bingham model with periodic conditions in the space variables. For the model under consideration, a family of trajectory spaces is introduced and the existence of pullback attractors is proved.
Zvyagin, V. G., Ustiuzhaninova, A. S.
openaire   +2 more sources

Forward and pullback attraction on pullback attractors

SeMA Journal, 2010
Pullback attractors are important elements to study the asymptotic behaviour for nonautonomous PDEs because they copy the pullback dynamic of the system inside them. Although pullback and forward dynamic may not be related, there exist some cases when the trajectories converge forward in time to the pullback attractor.
openaire   +1 more source

Residually continuous pullback attractors for stochastic discrete plate equations

Mathematical methods in the applied sciences
For a nonautonomous stochastic discrete plate equation driven by multiplicative noise, we prove the unique existence of a pullback random attractor, which is a family of pullback‐attracting random compact sets parameterized by time and samples.
Kaili Han, Yangrong Li, Huan Xia
semanticscholar   +1 more source

Pullbacks in Regular Categories

Canadian Mathematical Bulletin, 1973
Given a pair of mapsin a category, we would like to know whether they form part of a pullback diagram as follows:I am indebted to Basil Rattray for mentioning the solution of this problem for the category of sets. Here we shall solve it for any regular category in the sense of Barr [1].It will be useful to make the following definition.
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Hilbert Rings Arising as Pullbacks

Canadian Mathematical Bulletin, 1992
AbstractLet R be the pullback A ×cB, where B → C is a surjective homomorphism of commutative rings and A is a subring of C. It is shown that R and C are Hilbert rings if and only if A and B are Hilbert rings. Applications are given to the D + XE[X], D + M, and D + (X1,..., Xn)Ds[X1,..., Xn] constructions. For these constructions, new examples are given
ANDERSON DF, DOBBS DE, FONTANA, Marco
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Pullback Versus Feedback

Human Systems Management, 1980
The purpose of this paper is to present a structural approach appropriate for the processes with multiple evaluations, and, more generally, to processes with evolutive sets of evaluations. The key point is that humans naturally aggregate partial evaluations in order to achieve structural stability.
openaire   +1 more source

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