Results 1 to 10 of about 116 (48)
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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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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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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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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Advances in Nonlinear Analysis, 2022 We study a model for a fluid showing viscoelastic and viscoplastic behavior, which describes the flow in terms of the fluid velocity and a symmetric deviatoric stress tensor.
Eiter Thomas +2 more
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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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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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