Results 31 to 40 of about 190,798 (136)

Global regularity for a family of 3D models of the axisymmetric Navier-Stokes equations [PDF]

, 2017
We consider a family of 3D models for the axi-symmetric incompressible Navier-Stokes equations. The models are derived by changing the strength of the convection terms in the axisymmetric Navier-Stokes equations written using a set of transformed ...
Hou, Thomas Y, Liu, Pengfei, Wang, Fei
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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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Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel [PDF]

, 2007
In this paper we consider the three-dimensional Navier-Stokes equations in an infinite channel. We provide a sufficient condition, in terms of $\partial_z p$, where $p$ is the pressure, for the global existence of the strong solutions to the three ...
Cao, Chongsheng, Titi, Edriss S.
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A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier–Stokes Equations [PDF]

, 2022
G. Serëgin
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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
doaj   +1 more source

Self-Similar Solutions with Elliptic Symmetry for the Compressible Euler and Navier-Stokes Equations in R^{N}

, 2011
Based on Makino's solutions with radially symmetry, we extend the corresponding ones with elliptic symmetry for the compressible Euler and Navier-Stokes equations in R^{N} (N\geq2).
Yuen, Manwai
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Navier-Stokes equations in the half-space in variable exponent spaces of Clifford-valued functions

Electronic Journal of Differential Equations, 2017
In this article, we study the steady generalized Navier-Stokes equations in a half-space in the setting of variable exponent spaces. We first establish variable exponent spaces of Clifford-valued functions in a half-space.
Rui Niu, Hongtao Zheng, Binlin Zhang
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Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality

Fixed Point Theory and Algorithms for Sciences and Engineering, 2021
This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point.
Min Ling, Weimin Han
doaj   +1 more source

Remarks on the “Onsager Singularity Theorem” for Leray–Hopf Weak Solutions: The Hölder Continuous Case

Mathematics, 2023
In this paper, we first present an overview of the results related to energy conservation in spaces of Hölder-continuous functions for weak solutions to the Euler and Navier–Stokes equations.
Luigi C. Berselli
doaj   +1 more source

On the approximation of turbulent fluid flows by the Navier-Stokes-$\alpha$ equations on bounded domains [PDF]

, 2014
The Navier-Stokes-$\alpha$ equations belong to the family of LES (Large Eddy Simulation) models whose fundamental idea is to capture the influence of the small scales on the large ones without computing all the whole range present in the flow.
Gutiérrez-Santacreu, Juan Vicente, Rojas-Medar, Marko Antonio   +1 more
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