Results 41 to 50 of about 1,859,718 (319)
Evolution Equations and Control Theory, 2020 The three-dimensional viscoelastic fluid flow equations, arising from the motion of Kelvin-Voigt (Kelvin-Voight) fluids in bounded domains is considered in this work.
Manil T. Mohan
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Parametrization of global attractors experimental observations and turbulence [PDF]
, 2007 This paper is concerned with rigorous results in the theory of turbulence and fluid flow. While derived from the abstract theory of attractors in infinite-dimensional dynamical systems, they shed some light on the conventional heuristic theories of ...
Robinson, James C.
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Chevron Pattern Equations: Exponential Attractor and Global Stabilization [PDF]
Vietnam Journal of Mathematics, 2021 The initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential attractor and the stabilization of the zero steady state solution through application of a finite-dimensional feedback control is proved in two spatial dimensions.
Habiba Kalantarova +2 more
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Abstract and Applied Analysis, 2013 The existence of the exponential attractors for coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities with periodic initial boundary is obtained by showing Lipschitz continuity and the ...
Gui Mu, Jun Liu
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Open sets of Axiom A flows with exponentially mixing attractors [PDF]
Proceedings of the American Mathematical Society, 2016 For any dimension d ≥ 3
Ara('u)jo, V. +2 more
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Advances in Difference Equations, 2017 The boundedness of chaotic systems plays an important role in investigating the stability of the equilibrium, estimating the Lyapunov dimension of attractors, the Hausdorff dimension of attractors, the existence of periodic solutions, chaos control, and ...
Guangyun Zhang, Fuchen Zhang, Min Xiao
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Quasi-stability and Exponential Attractors for A Non-Gradient System---Applications to Piston-Theoretic Plates with Internal Damping [PDF]
, 2016 We consider a nonlinear (Berger or Von Karman) clamped plate model with a {\em piston-theoretic} right hand side---which include non-dissipative, non-conservative lower order terms.
J. Howell, I. Lasiecka, J. Webster
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Exponential attractors for weakly damped wave equation with sub-quintic nonlinearity
Computers and Mathematics with Applications, 2019 In this paper, we study the existence of exponential attractors for the weakly damped wave equation u t t + γ u t − Δ u + f ( u ) = g in a bounded smooth domain of R 3 .
Feng-Juan Meng, Cuncai Liu
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The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System
The Scientific World Journal, 2016 First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
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Systemic modeling of chaotic EEG during human sleep
Informatics in Medicine Unlocked, 2023 The use of chaos theory in modeling biological signals is becoming increasingly common, especially in EEG signal processing for predicting and detecting different brain states.
Mahmoud Alipour +1 more
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