« Utilisateur:Ellande/Brouillon » : différence entre les versions

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Ligne 203 :
\\ {v_x \frac{\partial \rho\, v_z}{\partial x} + v_y \frac{\partial \rho\, v_z}{\partial y}+ v_z \frac{\partial \rho\, v_z}{\partial z}} \end{pmatrix}
</math>
 
<math> \frac{\mathrm d(\rho\overrightarrow v)}{\mathrm dt}
= \begin{pmatrix}
\frac{\partial(\rho v_x)}{\mathrm \partial t} \\
\frac{\partial(\rho v_y)}{\mathrm \partial t} \\
\frac{\partial(\rho v_z)}{\mathrm \partial t}
\end{pmatrix}
+ \begin{pmatrix}
\frac{\partial(\rho v_x v_x)}{\mathrm \partial x}
+ \frac{\partial(\rho v_y v_x)}{\mathrm \partial y}
+ \frac{\partial(\rho v_z v_x)}{\mathrm \partial z} \\
\frac{\partial(\rho v_x v_y)}{\mathrm \partial x}
+ \frac{\partial(\rho v_y v_y)}{\mathrm \partial y}
+ \frac{\partial(\rho v_z v_y)}{\mathrm \partial z} \\
\frac{\partial(\rho v_x v_z)}{\mathrm \partial x}
+ \frac{\partial(\rho v_y v_z)}{\mathrm \partial y}
+ \frac{\partial(\rho v_z v_z)}{\mathrm \partial z}
\end{pmatrix}
</math> ???????
 
=== Euler ===