Results 41 to 50 of about 183,867 (177)

Navier–Stokes equations, the algebraic aspect [PDF]

Theoretical and Mathematical Physics, 2021
Analysis of the Navier-Stokes equations in the frames of the algebraic approach to systems of partial differential equations (formal theory of differential equations) is presented.
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On the accuracy of difference scheme for Navier-Stokes equations

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
The article presents a study of difference schemes in time, which accuracy can be arbitrarily high. We present difference schemes in time for solving the Navier-Stokes equations, where series expansions are used to find the singularities of solutions of ...
Nikolay I Sidnyaev, Nadezhda M Gordeeva
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A Mathematically Exact and Well-Determined System of Equations to Close Reynolds-Averaged Navier–Stokes Equations

Mathematics, 2023
Since Sir Osborne Reynolds presented the Reynolds-averaged Navier–Stokes (RANS) equations in 1895, the construction of complete closure for RANS equations has been regarded as extremely challenging.
Sungmin Ryu
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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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Global regularity to the Navier-Stokes equations for a class of large initial data

Mathematical Modelling and Analysis, 2018
In [5], Chemin, Gallagher and Paicu proved the global regularity of solutions to the classical Navier-Stokes equations with a class of large initial data on T2 × R.
Bin Han, Yukang Chen
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Analysis of a mathematical model related to Czochralski crystal growth

Abstract and Applied Analysis, 1998
This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively.
Petr Knobloch, Lutz Tobiska
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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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Inviscid limit of stochastic damped 2D Navier-Stokes equations

, 2012
We consider the inviscid limit of the stochastic damped 2D Navier- Stokes equations. We prove that, when the viscosity vanishes, the stationary solution of the stochastic damped Navier-Stokes equations converges to a stationary solution of the stochastic
Bessaih, H., Ferrario, B.
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An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method

Partial Differential Equations in Applied Mathematics
The dynamics of viscous fluids may be elucidated via the Navier–Stokes equations, which create a fundamental relationship between the exertion of external forces upon fluid motion and the resultant fluid pressure.
P. Dunnimit, W. Sawangtong, P. Sawangtong   +2 more
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Asymptotic Stability of Global Solutions to Non-isentropic Navier–Stokes Equations

Journal of Mathematics, 2023
This paper studies the asymptotic stability of global solutions of the three-dimensional nonisentropic compressible Navier–Stokes equations, where the initial data satisfy the “well-prepared” initial conditions, and the velocity field and temperature ...
Qingliu Li, Dandan Ren, Xinfeng Liang
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