Results 31 to 40 of about 63,459 (307)
On the hydrostatic approximation of compressible anisotropic Navier–Stokes equations
Comptes Rendus. Mathématique, 2021 In this work, we obtain the hydrostatic approximation by taking the small aspect ratio limit to the Navier–Stokes equations. The aspect ratio (the ratio of the depth to horizontal width) is a geometrical constraint in general large scale motions meaning ...
Gao, Hongjun +2 more
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Linearization of the Navier-Stokes equations [PDF]
E3S Web of Conferences, 2020 This paper studies mathematical models of the heat transfer process of a viscous incompressible fluid. Optimal control methods are used to solve the problem of optimal modeling.
Nazarov Serdar +2 more
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Proper general decomposition (PGD) for the resolution of Navier–Stokes equations [PDF]
, 2011 In this work, the PGD method will be considered for solving some problems of fluid mechanics by looking for the solution as a sum of tensor product functions. In the first stage, the equations of Stokes and Burgers will be solved. Then, we will solve the
ALLERY, Cyrille +5 more
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Vorticity moments in four numerical simulations of the 3D Navier–Stokes equations [PDF]
, 2013 The issue of intermittency in numerical solutions of the 3D Navier–Stokes equations on a periodic box [0,L]3 is addressed through four sets of numerical simulations that calculate a new set of variables defined by Dm(t)=(ϖ−10Ωm)αm for 1≤m≤∞ where αm=2m ...
Vincenzi, Dario +16 more
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On unbiased stochastic Navier–Stokes equations [PDF]
Probability Theory and Related Fields, 2011 A random perturbation of a deterministic Navier-Stokes equation is considered in the form of an SPDE with Wick type nonlinearity. The nonlinear term of the perturbation can be characterized as the highest stochastic order approximation of the original nonlinear term u\nabla u.
Mikulevicius, R., Rozovskii, B. L.
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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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Recasting Navier–Stokes equations
Journal of Physics Communications, 2019 Abstract Classical Navier–Stokes equations fail to describe some flows in both the compressible and incompressible configurations. In this article, we propose a new methodology based on transforming the fluid mass velocity vector field to obtain a new class of continuum models.
M H Lakshminarayana Reddy +4 more
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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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The structure of shock waves as a test of Brenner's modifications to the Navier-Stokes equations [PDF]
, 2007 Brenner (Physica A, vol. 349, 2005a, b, pp. 11, 60) has recently proposed modifications to the Navier-Stokes equations that are based on theoretical arguments but supported only by experiments having a fairly limited range.
Reese, Jason M. +2 more
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Euler and Navier-Stokes equations [PDF]
Publicacions Matemàtiques, 2008 We present results concerning the local existence, regularity and possible blow up of solutions to incompressible Euler and Navier-Stokes equations.
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