Why this solution to the 3D periodic Navier-Stokes?

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SUMMARY

The discussion centers on the physical understanding of solutions to the 3D periodic Navier-Stokes equations, specifically addressing directionally stationary flows. It highlights the relationship between Newton's Second Law and the behavior of incompressible Navier-Stokes flows, emphasizing that these flows can change in magnitude due to viscous damping while maintaining a constant direction. The conversation also clarifies terminology, correcting the use of 'incomprehensible' to 'incompressible' in the context of fluid dynamics.

PREREQUISITES
  • Understanding of Navier-Stokes equations
  • Familiarity with fluid dynamics concepts
  • Knowledge of Newton's Second Law
  • Basic principles of viscosity and flow behavior
NEXT STEPS
  • Research the implications of directionally stationary flows in fluid dynamics
  • Explore the mathematical derivation of the 3D periodic Navier-Stokes equations
  • Study the effects of viscous damping on fluid flow
  • Learn about incompressible versus compressible flow characteristics
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Fluid dynamicists, mathematicians specializing in partial differential equations, and researchers focused on the Navier-Stokes equations will benefit from this discussion.

davidpurvance
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Who can provide a physical understanding to this solution to the 3D periodic Navier-Stokes equation: http://purvanced.wordpress.com?
 
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Directionally Stationary Navier Stokes Flows

By Newton's Second Law, wouldn't incomprehensible Navier Stokes flows, devoid of any external forces, be directionally stationary? This is, flows changing in magnitude due to viscous damping, but not in direction?
 
I think you mean 'incompressible' flows, rather than 'incomprehensible' flows.
 

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