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navier-stokes_equations [2013/09/17 14:33] nikolaj |
navier-stokes_equations [2013/09/17 14:33] nikolaj |
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| @#55EE55: $ \mathbf{v} \in C^2(\mathbb R^n\times\mathbb R,\mathbb R^n) $ | | | @#55EE55: $ \mathbf{v} \in C^2(\mathbb R^n\times\mathbb R,\mathbb R^n) $ | | ||
+ | | @#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{f} $ | |