Results 11 to 20 of about 2,827 (129)

Effect of magnetic field on Newtonian fluid sandwiched between non-Newtonian fluids through porous cylindrical shells

, 2021
The present work deals with the influence of magnetic field on Newtonian fluid sandwiched between two porous cylindrical pipes which are filled with micropolar fluids.
D. Maurya, S. Deo
semanticscholar   +1 more source

On non-resistive limit of 1D MHD equations with no vacuum at infinity

Advances in Nonlinear Analysis, 2021
In this paper, the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity is considered, but the initial vacuum can be permitted inside the region. By deriving a priori ν (resistivity
Li Zilai, Wang Huaqiao, Ye Yulin
doaj   +1 more source

Nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate-dependent viscosity

Advances in Nonlinear Analysis, 2022
A nonstationary Poiseuille flow of a non-Newtonian fluid with the shear rate dependent viscosity is considered. This problem is nonlinear and nonlocal in time and inverse to the nonlinear heat equation.
Panasenko Grigory, Pileckas Konstantin
doaj   +1 more source

On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model [PDF]

, 2009
The Navier-Stokes-Voigt (NSV) model of viscoelastic incompressible fluid has been recently proposed as a regularization of the 3D NavierStokes equations for the purpose of direct numerical simulations.
B. Levant, Fabio Ramos, E. Titi
semanticscholar   +1 more source

On a blow-up criterion for solution of 3D fractional Navier-Stokes-Coriolis equations in Lei-Lin-Gevrey spaces

Open Mathematics, 2023
In this article, we researched the existence of the solution to the fractional Navier-Stokes equations with the Coriolis force under initial data, which belong to the Lei-Lin-Gevrey spaces.
Sun Xiaochun, Xu Gaoting, Wu Yulian
doaj   +1 more source

Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings

Advanced Nonlinear Studies, 2022
The chemotaxis–Stokes system nt+u⋅∇n=∇⋅(D(n)∇n)−∇⋅(nS(x,n,c)⋅∇c),ct+u⋅∇c=Δc−nc,ut=Δu+∇P+n∇Φ,∇⋅u=0,\left\{\begin{array}{l}{n}_{t}+u\cdot \nabla n=\nabla \cdot (D\left(n)\nabla n)-\nabla \cdot (nS\left(x,n,c)\cdot \nabla c),\\ {c}_{t}+u\cdot \nabla c ...
Winkler Michael
doaj   +1 more source

Mathematical Modeling and Simulation of Antibubble Dynamics

Numerical Mathematics: Theory, Methods and Applications, 2020
In this study, we propose a mathematical model and perform numerical simulations for the antibubble dynamics. An antibubble is a droplet of liquid surrounded by a thin film of a lighter liquid, which is also in a heavier surrounding fluid.
global sci
semanticscholar   +1 more source

Phragmén-Lindelöf alternative results and structural stability for Brinkman fluid in porous media in a semi-infinite cylinder

Open Mathematics, 2022
This article investigates the spatial behavior of the solutions of the Brinkman equations in a semi-infinite cylinder. We no longer require the solutions to satisfy any a priori assumptions at infinity.
Li Yuanfei, Chen Xuejiao
doaj   +1 more source

Global well-posedness of the full compressible Hall-MHD equations

Advances in Nonlinear Analysis, 2021
This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large ...
Tao Qiang, Zhu Canze
doaj   +1 more source

The continuum limit of Follow-the-Leader models - a short proof [PDF]

, 2017
We offer a simple and self-contained proof that the Follow-the-Leader model converges to the Lighthill-Whitham-Richards model for traffic ...
Holden, Helge, Risebro, Nils Henrik
core   +2 more sources