Results 11 to 20 of about 726 (31)
On the analysis of a geometrically selective turbulence model
Advances in Nonlinear Analysis, 2020 In this paper we propose some new non-uniformly-elliptic/damping regularizations of the Navier-Stokes equations, with particular emphasis on the behavior of the vorticity. We consider regularized systems which are inspired by the Baldwin-Lomax and by the
Chorfi Nejmeddine +2 more
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Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility [PDF]
, 2007 In this paper we study the stochastic Navier-Stokes equation with artificial compressibility. The main results of this work are the existence and uniqueness theorem for strong solutions and the limit to incompressible flow.
Manna, Utpal +2 more
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On a viscous two-fluid channel flow including evaporation
Open Mathematics, 2018 In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
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Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation
, 2007 We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($\alpha< 1/2$) dissipation $(-\Delta)^\alpha$ : If a Leray-Hopf weak solution is H\"{o}lder continuous $\theta\in C^\delta({\mathbb R}^2)$ with ...
Caffarelli +23 more
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, 2014 We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity, this seems to
Chae, Dongho +2 more
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, 2011 Motivated by an equation arising in magnetohydrodynamics, we prove that Holder continuous weak solutions of a nonlinear parabolic equation with singular drift velocity are classical solutions.
Friedlander, Susan, Vicol, Vlad
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Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions
, 2011 The paper is concerned with the vanishing viscosity limit of the two-dimensional degenerate viscous lake equations when the Navier slip conditions are prescribed on the impermeable boundary of a simply connected bounded regular domain.
Bresch D +10 more
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Stability on 3D Boussinesq system with mixed partial dissipation
Advances in Nonlinear AnalysisIn the article, we are concerned with the three-dimensional anisotropic Boussinesq equations with the velocity dissipation in x2{x}_{2} and x3{x}_{3} directions and the thermal diffusion in only x3{x}_{3} direction.
Lin Hongxia +3 more
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Analyticity and Existence of the Keller–Segel–Navier–Stokes Equations in Critical Besov Spaces
Advanced Nonlinear Studies, 2018 This paper deals with the Cauchy problem to the Keller–Segel model coupled with the incompressible 3-D Navier–Stokes equations. Based on so-called Gevrey regularity estimates, which are motivated by the works of Foias and Temam [20], we prove that the ...
Yang Minghua, Fu Zunwei, Liu Suying
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Nonlinear free fall of one-dimensional rigid bodies in hyperviscous fluids
, 2014 We consider the free fall of slender rigid bodies in a viscous incompressible fluid. We show that the dimensional reduction (DR), performed by substituting the slender bodies with one-dimensional rigid objects, together with a hyperviscous regularization
Giusteri, Giulio G. +2 more
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