Results 261 to 270 of about 63,459 (307)

Convergence of the relaxed compressible Navier–Stokes equations to the incompressible Navier–Stokes equations

Applied Mathematics Letters, 2023
The relaxed Navier-Stokes equations of the form \[ \begin{split} \partial_t\rho + \operatorname{div}(\rho u) & = 0,\\ \partial_t(\rho u) + \operatorname{div}(\rho u\otimes u) + \nabla p(\varrho) & = \operatorname{div}S_1 +\nabla S_2,\\ \tau_1(\partial_t S_1 + u\cdot \nabla S_1) + S_1 &= \mu\left(\nabla u + (\nabla u)^\top - \frac 23 \operatorname{div ...
Qiangchang Ju, Zhao Wang
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On the time-fractional Navier–Stokes equations

Computers and Mathematics With Applications, 2017
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Yong Zhou, Li Peng
exaly   +2 more sources

On the generalized Navier–Stokes equations

Applied Mathematics and Computation, 2003
In this paper, we present a general Inodel of the classical Navier-Stokes equations. With the help of Laplace, Fourier Sine transforms, finite Fourier Sine transforms, and finite Hankel transforms, an exact solutions for three different special cases have been obtained.
Moustafa El-Shahed, Ahmed Salem 0007
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A revisit of Navier–Stokes equation

European Journal of Mechanics - B/Fluids, 2020
The authors studies the assumptions that serve as the base to derive the Navier-Stokes equation, focusing on the stress tensor and its symmetry. Along the history of the equation, its success, and challenges it is facing, the classical derivation is traced.
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Internal stabilizability of the Navier–Stokes equations

Systems & Control Letters, 2003
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Viorel Barbu, Catalin-George Lefter
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On properties of the Navier–Stokes equations

Applied Mathematics and Computation, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Computability of Navier-Stokes’ Equation

2015
We approach the question of whether the Navier-Stokes Equation admits recursive solutions in the sense of Weihrauch’s Type-2 Theory of Effectivity: A suitable encoding (“representation”) is carefully constructed for the space of solenoidal vector fields in the \(L_q\) sense over the \(d\)-dimensional open unit cube with zero boundary condition. This is
Shu-Ming Sun, Ning Zhong 0002, Martin Ziegler 0001   +2 more
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Stochastic Navier-Stokes Equations

Acta Applicandae Mathematicae, 1995
A survey of some results concerning the theory of stochastic Navier- Stokes equations is presented. The author gives a brief review of the deterministic theory of Navier-Stokes equations and then proves existence and uniqueness theorems for stochastic Navier-Stokes equations.
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On a theorem by Sohr for the Navier-Stokes equations

Journal of Evolution Equations, 2004
The authors study some criteria for the full (space-time) regularity of weak solutions to the Navier-Stokes equations. In particular, some classical and very recent criteria involving the velocity, or its derivates are generalized. More spoecifically, it is shown with elementary tools that if a weak solution, or its vorticity, is small in appropriate ...
BERSELLI, LUIGI CARLO, MANFRIN R.
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The Navier–Stokes Equations

2014
AbstractThis chapter concerns the statement and properties of the steady Navier–Stokes equations and the corresponding weak formulation. This includes discussion of stability theory, bifurcation and nonlinear iteration. This is followed by a description of finite element discretization and error analysis of discrete solutions.
Howard C. Elman, David J. Silvester, Andrew J. Wathen   +2 more
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