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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 3
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Original Articles

Global attractors for 2D Navier–Stokes–Voight equations in an unbounded domain

A.O. Çelebı Department of Mathematics, Yeditepe University, Kayisdaḡi Caddesi, Kayisdaḡi, Istanbul, Turkey
,
V.K. Kalantarov Department of Mathematics, Koç University, Rumelifeneri Yolu Sariyer, Istanbul, Turkey
&
M. Polat Department of Mathematics, Yeditepe University, Kayisdaḡi Caddesi, Kayisdaḡi, Istanbul, TurkeyCorrespondence[email protected]
Pages 381-392 | Received 31 Dec 2008, Accepted 16 Jan 2009, Published online: 21 Sep 2010

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Bin Yin & Biao Zeng. (2024) Existence and feedback control for a class of nonlinear evolutionary equations. Applicable Analysis 103:8, pages 1459-1481.
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Cung The Anh & Tran Minh Nguyet. (2020) Optimal Control of Time-Periodic Navier-Stokes-Voigt Equations. Numerical Functional Analysis and Optimization 41:13, pages 1588-1610.
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Cung The Anh & Nguyen Van Thanh. (2019) On the existence and long-time behavior of solutions to stochastic three-dimensional Navier–Stokes–Voigt equations. Stochastics 91:4, pages 485-513.
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Nguyen Hai Son & Tran Minh Nguyet. (2019) No-gap optimality conditions for an optimal control problem with pointwise control-state constraints. Applicable Analysis 98:6, pages 1120-1142.
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Cung The Anh & Tran Minh Nguyet. (2016) Optimal Control of the Instationary Three Dimensional Navier-Stokes-Voigt Equations. Numerical Functional Analysis and Optimization 37:4, pages 415-439.
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Articles from other publishers (16)

Biao Zeng & Shuhua Wang. (2024) EXISTENCE FOR NONLINEAR FRACTIONAL EVOLUTIONARY EQUATIONS INVOLVING <inline-formula><tex-math id="M1">$\psi$</tex-math></inline-formula>-CAPUTO FRACTIONAL DERIVATIVE. Journal of Applied Analysis & Computation 14:3, pages 1414-1433.
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Brian Straughan. (2023) Nonlinear stability for convection with temperature dependent viscosity in a Navier–Stokes–Voigt fluid. The European Physical Journal Plus 138:5.
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Biao Zeng. (2022) Existence for a class of time-fractional evolutionary equations with applications involving weakly continuous operator. Fractional Calculus and Applied Analysis 26:1, pages 172-192.
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Biao Zeng. (2022) Feedback control for nonlinear evolutionary equations with applications. Nonlinear Analysis: Real World Applications 66, pages 103535.
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Manil T. Mohan. (2022) Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with "fading memory". Evolution Equations & Control Theory 11:1, pages 125.
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Cung The Anh & Nguyen Viet Tuan. (2020) Stabilization of 3D Navier–Stokes–Voigt equations. Georgian Mathematical Journal 27:4, pages 493-502.
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Biao Zeng. (2020) Feedback control for non-stationary 3D Navier–Stokes–Voigt equations. Mathematics and Mechanics of Solids 25:12, pages 2210-2221.
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Nguyen Thi Ngan & Vu Manh Toi. (2020) Feedback Control of Navier-Stokes-Voigt Equations by Finite Determining Parameters. Acta Mathematica Vietnamica 45:4, pages 917-930.
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Cung The Anh & Tran Minh Nguyet. (2017) Time Optimal Control of the Unsteady 3D Navier–Stokes–Voigt Equations. Applied Mathematics & Optimization 79:2, pages 397-426.
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Keqin Su & Yuming Qin. (2018) The pullback‐ attractors for the 3D Kelvin‐Voigt‐Brinkman‐Forchheimer system with delay. Mathematical Methods in the Applied Sciences 41:16, pages 6122-6129.
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Xin-Guang Yang, Lu Li & Yongjin Lu. (2018) Regularity of uniform attractor for 3D non-autonomous Navier–Stokes–Voigt equation. Applied Mathematics and Computation 334, pages 11-29.
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J. Cao & Y. Qin. (2017) Pullback attractors of 2D incompressible Navier‐Stokes‐Voight equations with delay. Mathematical Methods in the Applied Sciences 40:18, pages 6670-6683.
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Luca Bisconti & Davide Catania. (2017) Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region. Communications on Pure & Applied Analysis 16:5, pages 1861-1881.
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Keqin Su, Mingxia Zhao & Jie Cao. (2015) Pullback attractors of 2D Navier-Stokes-Voigt equations with delay on a non-smooth domain. Boundary Value Problems 2015:1.
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Cung The Anh & Pham Thi Trang. (2013) On the 3D Kelvin–Voigt–Brinkman–Forchheimer equations in some unbounded domains. Nonlinear Analysis: Theory, Methods & Applications 89, pages 36-54.
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Jong Yeoul Park & Sun Hye Park. (2011) Pullback attractors for a non-autonomous generalized 2D parabolic system in an unbounded domain. Nonlinear Analysis: Theory, Methods & Applications 74:12, pages 4046-4057.
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