Results 1 to 10 of about 817 (44)
Regularity for 3-D MHD Equations in Lorentz Space $L^{3,∞}$
Communications in Mathematical Research, 2023 The regularity for 3-D MHD equations is considered in this paper, it is proved that the solutions (v,B,p) are Hölder continuous if the velocity field v∈L∞(0,T;L x (R 3)) with local small condition r ∣∣ { x∈Br(x0) : |v(x,t0)|> εr −1 ∣∣≤ ε and the magnetic
Xian-gao Liu, Yueli Liu, Zixuan Liu
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Zero Viscosity-Diffusivity Limit for the Incompressible Boussinesq Equations in Gevrey Class
Communications in Mathematical Research, 2022 In this paper, we study the zero viscosity-diffusivity limit for the incompressible Boussinesq equations in a periodic domain in the framework of Gevrey class. We first prove that there exists an interval of time, independent of the viscosity coefficient
F. Cheng
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Journal of Partial Differential Equations, 2021 We investigate the global existence of smooth solutions to the three dimensional generalized Hall-MHD system with mixed partial viscosity in this work.
Yuzhu Wang
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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
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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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Existence of optimal boundary control for the Navier-Stokes equations with mixed boundary conditions [PDF]
, 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
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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
Norm inflation for generalized magneto-hydrodynamic system [PDF]
, 2015 We consider the three-dimensional incompressible magneto-hydrodynamic system with fractional powers of the Laplacian. We discover a wide range of spaces where the norm inflation occurs and hence small initial data results are out of reach.
Cheskidov, Alexey, Dai, Mimi
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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
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
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