Results 31 to 40 of about 3,258,906 (335)
Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations [PDF]
Acta Numerica, 2009 Whether the 3D incompressible Euler and Navier–Stokes equations can develop a finite-time singularity from smooth initial data with finite energy has been one of the most long-standing open questions. We review some recent theoretical and computational studies which show that there is a subtle dynamic depletion of nonlinear vortex stretching due to ...
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Splitting method and the existence of a strong solution of the Navier-Stokes equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In the author’s article from the previous issue of the journal from the properties of the ONS solutions the relation between pressure and module square of velocity vector is set.
A.Sh. Akysh (Akishev)
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On Unique Continuation for Navier-Stokes Equations
Abstract and Applied Analysis, 2015 We study the unique continuation properties of solutions of the Navier-Stokes equations. We take advantage of rotation transformation of the Navier-Stokes equations to prove the “logarithmic convexity” of certain quantities, which measure the suitable ...
Zhiwen Duan, Shuxia Han, Peipei Sun
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A finite element method for the resolution of the Reduced Navier-Stokes/Prandtl equations [PDF]
, 2008 A finite element method to solve the bidimensional Reduced Navier-Stokes Prandtl (RNS/P) equations is described. These equations are an asymptotical simplification of the full Navier-Stokes equations, obtained when one dimension of the domain is of one ...
Azérad +14 more
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AIMS MathematicsIn this paper, we consider the incompressible Euler and Navier-Stokes equations in $ \mathbb{R}^2 $. It is well known that the Euler and Navier-Stokes equations are globally well-posed for initial data in $ H^s(s > 2) $.
Shaoliang Yuan, Lin Cheng, Liangyong Lin
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, 2010 We study some particular solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure, in radial symmetry. With extension of the previous known blowup solutions for the Euler-Poisson equations / pressureless Navier ...
Hei, Yeung Ling, Manwai, Yuen
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Predicting airfoil stalling dynamics using upwind numerical solutions to non-viscous equations
Results in Engineering, 2023 Over the last few decades, researchers have been focusing on determining the critical attack angle at which dynamic stall occurs. This angle is usually determined by solving the Navier-Stokes equations, which include viscosity, pressure, gravity, and ...
Tohid Adibi +5 more
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Almost Periodic Solutions and Global Attractors of Non-autonomous Navier-Stokes Equations
, 2004 The article is devoted to the study of non-autonomous Navier-Stokes equations. First, the authors have proved that such systems admit compact global attractors.
Cheban, David, Duan, Jinqiao
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Results on existence for generalized nD Navier-Stokes equations
Open Mathematics, 2019 In this paper we consider a class of nD Navier-Stokes equations of Kirchhoff type and prove the global existence of solutions by using a new approach introduced in [Jday R., Zennir Kh., Georgiev S.G., Existence and smoothness for new class of n ...
Zennir Khaled
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Lid-driven cavity flow using dual reciprocity [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the multi-domain dual reciprocity method of fundamental solutions (MD-MFSDR) for the analysis of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj, Bulko Roman
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