incompressible viscous flows
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Regularity of Desingularized Models for Vortex Filaments in Incompressible Viscous Flows: A Geometrical Approach

2020 ◽  
Vol 73 (3) ◽  
pp. 217-230
Author(s):  
Siran Li
Keyword(s):  
Sobolev Spaces ◽  
Weak Solutions ◽  
Classical Model ◽  
Viscous Flows ◽  
Vortex Filament ◽  
Vorticity Equation ◽  
Geometrical Approach ◽  
Filament Dynamics ◽  
Incompressible Viscous Flows ◽  
Regularity Of Weak Solutions

Summary We establish the regularity of weak solutions for the vorticity equation associated to a family of desingularized models for vortex filament dynamics in 3D incompressible viscous flows. These generalize the classical model ‘of an allowance for the thickness of the vortices’ due to Louis Rosenhead in 1930. Our approach is based on an interplay between the geometry of vorticity and analytic inequalities in Sobolev spaces.

scholarly journals Vortex moment map for unsteady incompressible viscous flows

2020 ◽  
Vol 891 ◽  
Author(s):  
Juan Li ◽  
Yinan Wang ◽  
Michael Graham ◽  
Xiaowei Zhao
Keyword(s):  
Viscous Flows ◽  
Moment Map ◽  
Incompressible Viscous Flows ◽  
Image Position

A local adaptive remeshing procedure for unsteady incompressible viscous flows

2020 ◽  
Author(s):  
Etienne Muller ◽  
Yohann Vautrin ◽  
Dominique Pelletier ◽  
Andre Garon
Keyword(s):  
Viscous Flows ◽  
Adaptive Remeshing ◽  
Incompressible Viscous Flows
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