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The Navier-Stokes Equation

2014
The main goal of this chapter is to present the Navier-Stokes equation, both for incompressible and compressible fluids. The equation is written in the cartesian tensor notation and also in the usual vector form. The viscosity and rate of strain tensors are introduced, as well as the viscosity coefficients.
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The Navier-Stokes Equations

Named after Claude-Louis Navier and George Gabriel Stokes, who derived them in the early 19th century, these equations remain at the forefront of mathematical research, with their general solution in three dimensions representing one of the seven Millennium Prize Problems identified by the Clay Mathematics Institute...
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NAVIER–STOKES EQUATIONS

2023
Emmanuele DiBenedetto, Ugo Gianazza
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Finite Difference Methods for the Stokes and Navier–Stokes Equations

SIAM Journal on Scientific and Statistical Computing, 1984
John C Strikwerda
exaly  

The time optimal control of Navier-Stokes equations

Systems and Control Letters, 1997
Viorel Barbu
exaly  

Weak and strong solutions for the incompressible Navier–Stokes equations with damping

Journal of Mathematical Analysis and Applications, 2008
Quansen Jiu
exaly  

Navier–Stokes equations with Navier boundary condition

Mathematical Methods in the Applied Sciences, 2016
Cherif Amrouche
exaly  

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