Non-autonomous 2D Navier-Stokes system with a simple global attractor and some averaging problems
, 2002 . We study the global attractor of the non-autonomous 2D Navier{Stokes system with time-dependent external force g(x; t). We assume that g(x; t) is a translation compact function and the corresponding Grashof number is small.
V. V. Chepyzhov +3 more
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On the global large regular solutions of the 1D degenerate compressible Navier-Stokes equations
Advances in Nonlinear AnalysisWhen the viscosity coefficients depend on the mass density ρ\rho in the power ρδ(δ>0){\rho }^{\delta }\left(\delta \gt 0), the existence of smooth solutions with vacuum of the compressible Navier-Stokes equations have received extensive attentions in ...
Cao Yue, Jiang Xun, Xi Shuai
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Modelling of the fluid flow in a thin domain with injection through permeable boundary
European Journal of Applied MathematicsIn this paper, we derive the effective model describing a thin-domain flow with permeable boundary through which the fluid is injected into the domain. We start with incompressible Stokes system and perform the rigorous asymptotic analysis.
Eduard Marušić-Paloka, Igor Pažanin
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A note on Constantin and Iyer's representation formula for the Navier–Stokes equations
, 2015 The purpose of this note is to establish a probabilistic representation formula for Navier–Stokes equations on a compact Riemannian manifold. To this end, we first give a geometric interpretation of Constantin and Iyer's representation formula for the ...
Fang, Shizan, Luo, Dejun
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A discrete Kato type theorem on inviscid limit of Navier-Stokes flows
, 2007 . The inviscid limit of wall bounded viscous flows is one of the unanswered central questions in theoretical fluid dynamics. Here we present a result indicating the difficulty in numerical study of the problem.
Wenfang (Wendy) Cheng +4 more
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Two-Level Finite Element Iterative Algorithm Based on Stabilized Method for the Stationary Incompressible Magnetohydrodynamics. [PDF]
Entropy (Basel), 2022 Tang Q, Hou M, Xiao Y, Yin L.
europepmc +1 more source
Tourbillon, Hélicité et Géométrie intrinsèque pour l'équation de Navier-Stokes
, 2019 We will consider the Navier-Stokes equation on a Riemannian manifold M with Ricci tensor bounded below, the involved Laplacian operator is De Rham-Hodge Laplacian.
Fang, Shizan, Qian, Zhongmin
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Stochastic Navier-Stokes Equations on a Thin Spherical Domain. [PDF]
Appl Math Optim, 2021 Brzeźniak Z, Dhariwal G, Le Gia QT.
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Measure Attractors For Stochastic Navier-Stokes Equations
, 1998 : We show existence of measure attractors for 2-D stochastic Navier-Stokes equations with general multiplicative noise. Keywords: Stochastic Navier--Stokes equations, measure attractors AMS subject classification: Primary: 35Q30, 60H15, 60G60; Secondary:
Marek Capinski, Nigel J. Cutland
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, 2002 A mathematical formulation of the Kraichnan theory for 2-D fully developed turbulence is given in terms of ensemble averages of solutions to the Navier-Stokes equations.
M.S. Jolly +3 more
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