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navier-stokes_equations [2013/09/17 14:33]
nikolaj
navier-stokes_equations [2013/11/10 19:57]
nikolaj
Line 10: Line 10:
 | @#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]]
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