Results 11 to 20 of about 830 (55)

Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension

open access: yesAdvances in Nonlinear Analysis, 2023
This article studies the stability of a stationary solution to the three-dimensional Navier-Stokes equations in a bounded domain, where surface tension effects are taken into account.
Watanabe Keiichi
doaj   +1 more source

Log Improvement of the Prodi-Serrin Criteria for Navier-Stokes Equations [PDF]

open access: yes, 2007
This article is devoted to a Log improvement of Prodi-Serrin criterion for global regularity to solutions to Navier-Stokes equations in dimension 3. It is shown that the global regularity holds under the condition that |u|/(log(1+|u|)) is integrable in ...
C. Chan, A. Vasseur
semanticscholar   +1 more source

Existence and uniqueness of global solutions for the modified anisotropic 3D Navier-Stokes equations [PDF]

open access: yes, 2016
We study a modified three-dimensional incompressible anisotropic Navier-Stokes equations. The modification consists in the addition of a power term to the nonlinear convective one.
Bessaih, Hakima   +2 more
core   +2 more sources

On the global existence for the axisymmetric Euler equations [PDF]

open access: yes, 2007
This paper deals with the global well-posedness of the 3D axisymmetric Euler equations for initial data lying in some critical Besov spacesComment: 14 ...
Abidi, Hammadi   +2 more
core   +3 more sources

On the existence of weak solutions for the initial‐boundary value problem in the Jeffreys model of motion of a viscoelastic medium

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 10, Page 815-829, 2004., 2004
This paper deals with the initial‐boundary value problem for the system of motion equations of an incompressible viscoelastic medium with Jeffreys constitutive law in an arbitrary domain of two‐dimensional or three‐dimensional space. The existence of weak solutions of this problem is obtained.
D. A. Vorotnikov, V. G. Zvyagin
wiley   +1 more source

Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions [PDF]

open access: yes, 2015
Variational approaches have been used successfully as a strategy to take advantage from real data measurements. In several applications, this approach gives a means to increase the accuracy of numerical simulations.
Guerra, Telma   +2 more
core   +2 more sources

Existence of weak solutions for a scale similarity model of the motion of large eddies in turbulent flow

open access: yesJournal of Applied Mathematics, Volume 2003, Issue 9, Page 429-446, 2003., 2003
In turbulent flow, the normal procedure has been seeking means u¯ of the fluid velocity u rather than the velocity itself. In large eddy simulation, we use an averaging operator which allows for the separation of large‐ and small‐length scales in the flow field. The filtered field u¯ denotes the eddies of size O(δ) and larger.
Meryem Kaya
wiley   +1 more source

Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations

open access: yesJournal of Mathematical Study, 2019
In this paper, we study the global regularity issue of two dimensional incompressible magnetic Bénard equations with partial dissipation and magnetic diffusion.
Dipendra Sharma
semanticscholar   +1 more source

Stability of weak solutions for the large-scale atmospheric equations

open access: yesJournal of Inequalities and Applications, 2014
In this paper, we consider the Navier-Stokes equations and temperature equation arising from the evolution process of the atmosphere. Under certain assumptions imposed on the initial data, we show the L1-stability of weak solutions for the atmospheric ...
Ruxu Lian, Q. Zeng
semanticscholar   +2 more sources

On the analysis of a geometrically selective turbulence model

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper we propose some new non-uniformly-elliptic/damping regularizations of the Navier-Stokes equations, with particular emphasis on the behavior of the vorticity. We consider regularized systems which are inspired by the Baldwin-Lomax and by the
Chorfi Nejmeddine   +2 more
doaj   +1 more source

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