Global Existence and Exponential Stability for a 1D Compressible Viscous Micropolar Fluid Model

2015 ◽  
pp. 143-153
Author(s):  
Yuming Qin ◽  
Xin Liu ◽  
Taige Wang
Keyword(s):  
Global Existence ◽  
Exponential Stability ◽  
Micropolar Fluid ◽  
Fluid Model

scholarly journals Global existence and exponential stability for the micropolar fluid system

2007 ◽  
Vol 59 (5) ◽  
pp. 790-809 ◽  
Author(s):  
Elder Jesús Villamizar-Roa ◽  
María Ángeles Rodríguez-Bellido
Keyword(s):  
Global Existence ◽  
Exponential Stability ◽  
Micropolar Fluid ◽  
Fluid System

scholarly journals Analysis of a Decoupled Time-Stepping Scheme for Evolutionary Micropolar Fluid Flows

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
S. S. Ravindran
Keyword(s):  
Micropolar Fluid ◽  
Stokes Equations ◽  
Fluid Model ◽  
Navier Stokes ◽  
Optimal Order ◽  
Step Size ◽  
Time Step ◽  
Order Error ◽  
Time Step Size ◽  
Time Stepping

Micropolar fluid model consists of Navier-Stokes equations and microrotational velocity equations describing the dynamics of flows in which microstructure of fluid is important. In this paper, we propose and analyze a decoupled time-stepping algorithm for the evolutionary micropolar flow. The proposed method requires solving only one uncoupled Navier-Stokes and one microrotation subphysics problem per time step. We derive optimal order error estimates in suitable norms without assuming any stability condition or time step size restriction.

A higher order slip flow of generalized Micropolar nanofluid with applications of motile microorganisms, nonlinear thermal radiation and activation energy

2021 ◽  
pp. 2150095
Author(s):  
Usman ◽  
M. Ijaz Khan ◽  
Sami Ullah Khan ◽  
Abuzar Ghaffari ◽  
Yu-Ming Chu ◽  
...  
Keyword(s):  
Activation Energy ◽  
Thermal Radiation ◽  
Micropolar Fluid ◽  
Fluid Model ◽  
Slip Flow ◽  
Higher Order ◽  
Nonlinear Thermal Radiation ◽  
Coupled Equations ◽  
Flow Parameters ◽  
Micropolar Nanofluid

This communication aims to develop the thermal flow model for generalized micropolar nanofluid with insensitive applications of bioconvection, activation energy and nonlinear thermal radiation. The generalized micropolar fluid model is the extension of traditional micropolar fluid model with viscoelastic relations. The viscous nature of non-Newtonian micropolar material can be successfully predicted with help of this model. The motivating idea for considering the motile microorganisms is to control the nanoparticles suspension effectively. The higher order slip relations are incorporated to examine the bio-convective phenomenon. The simplified coupled equations in terms of non-dimensional variables are numerically treated with shooting scheme. The reliable graphical outcomes are presented for flow parameters governed to the transported problem. The flow pattern of each parameter is highlighted in view of viscous nature of micropolar fluid.

scholarly journals On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Abdelbaki Choucha ◽  
Salah Mahmoud Boulaaras ◽  
Djamel Ouchenane ◽  
Salem Alkhalaf ◽  
Ibrahim Mekawy ◽  
...  
Keyword(s):  
Global Existence ◽  
Exponential Stability ◽  
Galerkin Method ◽  
Exponential Decay ◽  
Energy Method ◽  
Existence Of Solutions ◽  
Distributed Delay ◽  
Stability Result ◽  
Kirchhoff Equations ◽  
Global Existence Of Solutions

This paper studies the system of coupled nondegenerate viscoelastic Kirchhoff equations with a distributed delay. By using the energy method and Faedo-Galerkin method, we prove the global existence of solutions. Furthermore, we prove the exponential stability result.

scholarly journals Global existence and exponential stability for a 1D compressible and radiative MHD flow

2012 ◽  
Vol 253 (5) ◽  
pp. 1439-1488 ◽  
Author(s):  
Yuming Qin ◽  
Xin Liu ◽  
Xinguang Yang
Keyword(s):  
Global Existence ◽  
Exponential Stability ◽  
Mhd Flow
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