Results 1 to 10 of about 139 (72)
Impact of magnetic field theory on blood flow and viscosity in a cylindrical tube
Discover MoleculesIn this paper, we analyze a two-layered magnetohydrodynamic (MHD) flow within a cylindrical tube subjected to a transverse magnetic field. We derive analytical expressions for the velocity profiles in both the core and peripheral plasma layer (PPL ...
Arun Kumar Pandey
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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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On Liouville type theorems in the stationary non-Newtonian fluids [PDF]
Journal of Differential Equations, 2021 In this paper we prove a Liouville type theorem for the stationary equations of a non-Newtonian fluid in R3 with the viscous part of the stress tensor Ap(u) = div(|D(u)| p−2D(u)), where D(u) = 12(∇u + (∇u) ⊤) and 9 5 < p < 3.
D. Chae, Junha Kim, J. Wolf
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Non-stationary Navier–Stokes equations in 2D power cusp domain
Advances in Nonlinear Analysis, 2021 The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. We consider the case where the boundary value has a nonzero flux over the boundary.
Pileckas Konstantin, Raciene Alicija
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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
Xiangao 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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Incompressible limit for compressible viscoelastic flows with large velocity
Advances in Nonlinear Analysis, 2023 We are concerned with the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the three-dimensional compressible viscoelastic equations.
Hu Xianpeng +3 more
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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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Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem
Advances in Nonlinear Analysis, 2022 In this article, we consider the fractional Rayleigh-Stokes problem with the nonlinearity term satisfies certain critical conditions. The local existence, uniqueness and continuous dependence upon the initial data of ε\varepsilon -regular mild solutions ...
Wang Jing Na +3 more
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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
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