Results 41 to 50 of about 3,368 (50)
Existence and regularity of solutions to the Leray-alpha model with Navier slip boundary conditions
Electronic Journal of Differential Equations, 2016 We establish the existence and regularity of a unique weak solution to turbulent flows in a bounded domain $\Omega\subset\mathbb R^3$ governed by the Leray-$\alpha$ model with Navier slip boundary condition for the velocity. Furthermore, we show that
Hani Ali, Petr Kaplicky
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 Accumulated facts and information about the Navier-Stokes equations, together with a large number of experiments and approximate calculations, made it possible to reveal some discrepancies between the mathematical model of a viscous melt and real ...
S.Sh. Kazhikenova +3 more
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Journal of MathematicsIn the paper, we consider the regularity of the weak solutions for the incompressible 3D Navier–Stokes (N–S) equations. Our main result is the double-logarithmic regularity criterion of pressure for the 3D Navier–Stokes equations in the Besov space ...
Min Liu, Juan Song, Tian-Li Li
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Abstract and Applied Analysis, 2014 We study the Cauchy problem of the fractional Navier-Stokes equations in critical Fourier-Besov spaces FB˙p,q1-2β+3/p′. Some properties of Fourier-Besov spaces have been discussed, and we prove a general global well-posedness result which covers some ...
Weiliang Xiao +3 more
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Partial Differential Equations in Applied MathematicsThe 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 +2 more
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SOLUSI MODEL LINEAR NAVIER-STOKES-KORTEWEG DI R_+^3 DENGAN SYARAT BATAS SLIP
Jurnal LebesgueThis article discusses the solution of the linear Navier-Stokes-Korteweg model in considering slip boundary conditions. This model is often used to describe the two-phase flow of fluids, where there is a phase change at the interface known as the ...
Jihandika Prayugo +3 more
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Fluids, 2019 An efficient and thorough strategy to introduce undergraduate students to a numerical approach of calculating flow is outlined. First, the basic steps, especially discretization, involved when solving Navier-Stokes equations using a finite-volume method ...
Desmond Adair, Martin Jaeger
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200 years of the Navier–Stokes equation
Revista Brasileira de Ensino de FísicaThe year 2022 marked the 200th anniversary of the first appearance of the Navier–Stokes equation, a landmark in Fluid Dynamics introduced by Claude-Louis Navier in 1822.
Sylvio R. Bistafa
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On a new type of non-stationary helical flows for incompressible 3D Navier-Stokes equations
Journal of King Saud University: Science, 2020 In fluid mechanics, a lot of authors have been executing their researches to obtain the analytical solutions of Navier-Stokes equations. But there is an essential deficiency of non-stationary solutions indeed.In our presentation, we proceed exploring the
Sergey V. Ershkov +2 more
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Electronic Journal of Differential Equations, 2016 This article is devoted to the study of the nonhomogeneous incompressible Navier-Stokes equations in space dimension three. By making use of the "weakly nonlinear" energy estimate approach introduced by Lei and Zhou in [16], we establish two ...
Qianqian Hou, Xiaojing Xu, Zhuan Ye
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