scholarly journals Life In Moving Fluids: Introducing Classical Fluid Mechanics Into Bioengineering

2020 ◽  
Author(s):  
George Catalano
Keyword(s):  
Fluid Mechanics ◽  
Classical Fluid

scholarly journals Infinitesimal quantum group from helicity in fluid mechanics

2020 ◽  
Vol 35 (30) ◽  
pp. 2050245
Author(s):  
S. G. Rajeev
Keyword(s):  
Fluid Mechanics ◽  
Quantum Group ◽  
Lie Algebra ◽  
Euler Equations ◽  
Ideal Fluid ◽  
Vector Fields ◽  
Classical Fluid ◽  
Manin Triple ◽  
Isotropic Subspaces

Arnold showed that the Euler equations of an ideal fluid describe geodesics in the Lie algebra of incompressible vector fields. We will show that helicity induces a splitting of the Lie algebra into two isotropic subspaces, forming a Manin triple. Viewed another way, this shows that there is an infinitesimal quantum group (a.k.a. Lie bi-algebra) underlying classical fluid mechanics.

Fluid Mechanics

2018 ◽  
Author(s):  
Gregory Falkovich
Keyword(s):  
Fluid Mechanics
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