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Stochastic Navier-Stokes equations

2013
This thesis deals with the stochastic Navier-Stokes equations in both the incompressible and the compressible case. Our goal in both situations is, roughly speaking, to present a denition of solutions to the SPDE systems and afterwards to prove existence of those solutions.
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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

2013
As mentioned in the introduction, the Navier-Stokes equations constitute the conservation of mass and momentum for incompressible Newtonian fluids. Of course, these basic equations of fluid dynamics as well as their derivation can be found in many popular and classical books, see e. g. [Lam32] or [Bat00].
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