Results 21 to 30 of about 183,867 (177)
2D constrained Navier–Stokes equations
Journal of Differential Equations, 2018 We study 2D Navier-Stokes equations with a constraint on $L^2$ energy of the solution. We prove the existence and uniqueness of a global solution for the constrained Navier-Stokes equation on $\R^2$ and $\T$, by a fixed point argument. We also show that the solution of constrained Navier-Stokes converges to the solution of Euler equation as viscosity $
Brzezniak, Zdzislaw +2 more
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Average Process of Fractional Navier–Stokes Equations with Singularly Oscillating Force
Fractal and Fractional, 2022 The averaging process between two-dimensional fractional Navier–Stokes equations driven by a singularly oscillating external force and the averaged equations corresponding to the limiting case are investigated.
Chunjiao Han +3 more
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The use of dual reciprocity method for 2D laminar viscous flow [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the dual reciprocity multidomain singular boundary method (SBMDR) for the solution of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj
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Analytical Solutions to the Navier-Stokes Equations [PDF]
, 2008 With the previous results for the analytical blowup solutions of the N-dimensional Euler-Poisson equations, we extend the similar structure to construct an analytical family of solutions for the isothermal Navier-Stokes equations and pressureless Navier ...
Lions P. L., Yuen Manwai
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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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Stochastic Navier-Stokes-Fourier equations [PDF]
Indiana University Mathematics Journal, 2020 We study the full Navier--Stokes--Fourier system governing the motion of a general viscous, heat-conducting, and compressible fluid subject to stochastic perturbation. Stochastic effects are implemented through (i) random initial data, (ii) a forcing term in the momentum equation represented by a multiplicative white noise, (iii) random heat source in ...
Breit, D., Feireisl, E. (Eduard)
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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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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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Interpolation, extrapolation, Morrey spaces and local energy control for the Navier--Stokes equations [PDF]
, 2019 Barker recently proved new weak-strong uniqueness results for the Navier-Stokes equations based on a criterion involving Besov spaces and a proof through interpolation between Besov-H{\"o}lder spaces and L 2.
Lemarié-Rieusset, Pierre Gilles
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Approximations of stochastic Navier–Stokes equations [PDF]
Stochastic Processes and their Applications, 2020 In this paper we show that solutions of two-dimensional stochastic Navier-Stokes equations driven by Brownian motion can be approximated by stochastic Navier-Stokes equations forced by pure jump noise/random kicks.
Shang, Shijie, Zhang, Tusheng
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