Difference between revisions of "Team:Aix-Marseille/Collaborations"

(Colaboration made by Pretoria 2016)
(Equations)
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<div lang="latex">
 
<div lang="latex">
 
\frac{\partial}{\partial t} W_\mathbf{z} (\mathbf{z},t) + \nabla_\mathbf{z}\cdot[(\beta\cdot\overline{\mathbf{R}}(\mathbf{z},c)W_\mathbf{z}(\mathbf{z},t))]
 
\frac{\partial}{\partial t} W_\mathbf{z} (\mathbf{z},t) + \nabla_\mathbf{z}\cdot[(\beta\cdot\overline{\mathbf{R}}(\mathbf{z},c)W_\mathbf{z}(\mathbf{z},t))]
 +
 +
\begin{multline}
 +
\frac{\partial}{\partial t} W_{\mathbf{Z}}(\mathbf{z},t)
 +
+ \nabla_{\mathbf{Z}} \cdotp [(\mathbf{\beta} \cdotp \bar{\mathbf{R}}(\mathbf{z,c}) W_{\mathbf{Z}}(\mathbf{z},t)] \\
 +
= 2 \int \sigma (\mathbf{z',c}) p(\mathbf{z,z',c}) W_{\mathbf{Z}}(\mathbf{z'},t)\mathrm{d}v'
 +
- (D+\sigma (\mathbf{z,c})) W_{\mathbf{Z}}(\mathbf{z},t)
 +
\end{multline}
 +
\begin{equation}
 +
\frac{d\mathbf{c}}{dt}
 +
= D(\mathbf{c_f} - \mathbf{c} ) + \mathbf{\gamma}
 +
\cdotp \int  \bar{\mathbf{R}}(\mathbf{z,c}) W_{\mathbf{Z}}(\mathbf{z},t)\mathrm{d}v
 +
\end{equation}
 
</div>
 
</div>
  

Revision as of 10:58, 17 October 2016