Results 1 to 10 of about 56 (50)

Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity [PDF]

open access: yesBoundary 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
doaj   +2 more sources

Impact of magnetic field theory on blood flow and viscosity in a cylindrical tube

open access: yesDiscover Molecules
In 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
doaj   +2 more sources

Non-stationary Navier–Stokes equations in 2D power cusp domain

open access: yesAdvances 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
doaj   +2 more sources

Incompressible limit for compressible viscoelastic flows with large velocity

open access: yesAdvances 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
doaj   +1 more source

Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem

open access: yesAdvances 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
doaj   +1 more source

Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces

open access: yesDemonstratio 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

Weak-strong uniqueness and energy-variational solutions for a class of viscoelastoplastic fluid models

open access: yesAdvances 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
doaj   +1 more source

Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension

open access: yesAdvances 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

On a viscous two-fluid channel flow including evaporation

open access: yesOpen Mathematics, 2018
In this contribution a particular plane steady-state channel flow including evaporation effects is investigated from analytical point of view. The channel is assumed to be horizontal.
Socolowsky Jürgen
doaj   +1 more source

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