Results 11 to 20 of about 116 (48)
Demonstratio Mathematica, 2023 In this article, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the horizontal derivatives of the two components of velocity in anisotropic Lorentz spaces.
Agarwal Ravi P. +3 more
doaj +1 more source
Remark on the Lifespan of Solutions to 3-D Anisotropic Navier Stokes Equations
Communications in Mathematical Research, 2020 The goal of this article is to provide a lower bound for the lifespan of smooth solutions to 3-D anisotropic incompressible Navier-Stokes system, which in particular extends a similar type of result for the classical 3-D incompressible Navier-Stokes ...
Siyu Liang
semanticscholar +1 more source
Log Improvement of the Prodi-Serrin Criteria for Navier-Stokes Equations [PDF]
, 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
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Advances 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
Abstract 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
Journal 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
On the analysis of a geometrically selective turbulence model
Advances 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
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Regularity Criteria on the 2D Anisotropic Magnetic Bénard Equations
Journal 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
On the well-posedness of the incompressible porous media equation in Triebel-Lizorkin spaces
Boundary Value Problems, 2014 In this paper, we prove the local well-posedness for the incompressible porous media equation in Triebel-Lizorkin spaces and obtain blow-up criterion of smooth solutions. The main tools we use are the Fourier localization technique and Bony’s paraproduct
Wenxin Yu, Yigang He
semanticscholar +2 more sources
Stability of weak solutions for the large-scale atmospheric equations
Journal 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