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Partial Regularity and the Navier-Stokes equations(SOLUTIONS OF THE NAVIER-STOKES EQUATIONS)
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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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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 generalized Navier–Stokes equations
Applied Mathematics and Computation, 2003In 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, 2020The 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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On properties of the Navier–Stokes equations
Applied Mathematics and Computation, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An eigen-representation of the Navier–Stokes equations
Journal of Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lawrence C. Cheung, Tamer A. Zaki
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Stochastic Navier-Stokes Equations
Acta Applicandae Mathematicae, 1995A 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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Internal stabilizability of the Navier–Stokes equations
Systems & Control Letters, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Viorel Barbu, Catalin-George Lefter
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On Computability of Navier-Stokes’ Equation
2015We 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 +2 more
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