Results 11 to 20 of about 822 (59)
Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity
Boundary Value Problems, 2011 In this paper, we investigate the Cauchy problem for the incompressible magneto-micropolar fluid equations with partial viscosity in ℝn(n = 2, 3). We obtain a Beale-Kato-Majda type blow-up criterion of smooth solutions. MSC (2010): 76D03; 35Q35.
Wang Yu-Zhu, Li Yifang, Wang Yin-Xia
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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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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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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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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
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