scholarly journals Two-dimensional incompressible micropolar fluid models with singular initial data

2021 ◽  
pp. 133069
Author(s):  
Alexis Béjar-López ◽  
Cleyton Cunha ◽  
Juan Soler
Keyword(s):  
Initial Data ◽  
Micropolar Fluid ◽  
Fluid Models ◽  
Two Dimensional ◽  
Singular Initial Data ◽  
Incompressible Micropolar Fluid

scholarly journals On the influence of wall properties in the peristaltic motion of micropolar fluid

2003 ◽  
Vol 45 (2) ◽  
pp. 245-260 ◽  
Author(s):  
P. Muthu ◽  
B. V. Rathish Kumar ◽  
Peeyush Chandra
Keyword(s):  
Micropolar Fluid ◽  
Perturbation Technique ◽  
Flow Characteristics ◽  
Two Dimensional ◽  
Peristaltic Motion ◽  
Mean Flow ◽  
Wall Properties ◽  
Incompressible Micropolar Fluid ◽  
Deformable Boundaries ◽  
Fluid Parameters

AbstractWe carry out a study of the peristaltic motion of an incompressible micropolar fluid in a two-dimensional channel. The effects of viscoelastic wall properties and micropolar fluid parameters on the flow are investigated using the equations of the fluid as well as of the deformable boundaries. A perturbation technique is used to determine flow characteristics. The velocity profile is presented and discussed briefly. We find the critical values of the parameters involving wall characteristics, which cause mean flow reversal.

Local existence with low regularity for the 2D compressible Euler equations

2021 ◽  
Vol 18 (03) ◽  
pp. 701-728
Author(s):  
Huali Zhang
Keyword(s):  
Cauchy Problem ◽  
Initial Data ◽  
Euler Equations ◽  
Local Existence ◽  
Compressible Euler Equations ◽  
Two Dimensional ◽  
Spatial Derivative ◽  
Compressible Euler ◽  
The Cauchy Problem ◽  
Local Solutions

We prove the local existence, uniqueness and stability of local solutions for the Cauchy problem of two-dimensional compressible Euler equations, where the initial data of velocity, density, specific vorticity [Formula: see text] and the spatial derivative of specific vorticity [Formula: see text].

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