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Both sides previous revision Previous revision Next revision | Previous revision | ||
navier-stokes_equations [2013/09/17 14:33] nikolaj |
navier-stokes_equations [2013/11/10 19:57] nikolaj |
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| @#DDDDDD: $ ::p(\mathbf{x},t) $ | | | @#DDDDDD: $ ::p(\mathbf{x},t) $ | | ||
| @#DDDDDD: $ ::\boldsymbol{\mathsf{T}}(\mathbf{x},t,\mathbf{v}) $ | | | @#DDDDDD: $ ::\boldsymbol{\mathsf{T}}(\mathbf{x},t,\mathbf{v}) $ | | ||
- | | @#DDDDDD: $ ::\mathbf{f}(\mathbf{x},t) $ | | + | | @#DDDDDD: $ ::\mathbf{K}(\mathbf{x},t) $ | |
| @#FFBB00: $ \mathbf{v} \in \mathrm{it} $ | | | @#FFBB00: $ \mathbf{v} \in \mathrm{it} $ | | ||
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| @#DDDDDD: $ ::\mathbf{v}(\mathbf{x},t) $ | | | @#DDDDDD: $ ::\mathbf{v}(\mathbf{x},t) $ | | ||
- | | @#55EE55: $ \rho\ \left(\frac{\partial}{\partial t} + \mathbf{v} \cdot \nabla \right)\ \mathbf{v} = -\mathrm{grad}(p) + \nabla \cdot \boldsymbol{\mathsf{T}} + \mathbf{f} $ | | + | | @#55EE55: $ \rho\ \left(\frac{\partial}{\partial t} + \mathbf{v} \cdot \nabla \right)\ \mathbf{v} = -\mathrm{grad}(p) + \nabla \cdot \boldsymbol{\mathsf{T}} + \mathbf{K} $ | |
==== Discussion ==== | ==== Discussion ==== | ||
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=== Subset of === | === Subset of === | ||
[[PDE system]] | [[PDE system]] | ||
+ | === Context === | ||
+ | [[Macroscopic observables from kinetic theory]] |