Which is the best way of formatting system of differential equations ? Is there a special package maybe ?
I'm actually using the environment

```
\begin{cases} ... \end{cases} 

```

But I'am having trouble to align all the boundary condition to the right ? Do you have any suggestion here a sample of the code

```
\documentclass[10pt,a4paper]{article}
\usepackage[utf8]{inputenc}
\usepackage[english]{babel}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{physics}

\begin{document}

\begin{equation}
\begin{cases}
\displaystyle
\chi \bigg[ C_{m} \frac{\partial v}{\partial t} + I_{ion}\big( v,\mathbf{w},\mathbf{c} \big) \bigg]  =  \div \big( \mathbf{D_{M}} \div v \big) + I_{app} \qquad & \Omega_{0}^{s} \times \big(0,T\big]\\[20pt] 

\displaystyle
\frac{\partial \mathbf{w}}{\partial t}  = \mathbf{R}(v,\mathbf{w},\mathbf{c} \big)  \qquad & \Omega_{0}^{s} \times \big(0,T\big]  \\[20pt] 

\displaystyle 
\frac{\partial \mathbf{w} }{ \partial t} = \mathbf{S} \big(v,\mathbf{w},\mathbf{c} \big) \qquad & \Omega_{0}^{s} \times \big(0,T\big] \\[20pt]

\displaystyle
\big( \mathbf{D_M} \nabla v ) \cdot  \mathbf{N_S} = 0 \qquad & \partial \Omega_{0}^{s} \times \big(0,T\big] \\[20pt]

\displaystyle
 v = v_{0} \quad \mathbf{w} = \mathbf{w_{0}} \quad  \mathbf{c} = \mathbf{c_{0}} &  \partial  \Omega_{0}^{s}  \times \{ 0 \}  \\[20pt]
\end{cases}
\end{equation}

\end{document}

```

In the picture the boundary condition are aligned on the left side instead I would like to align them on the right ( as the red line )

[![enter image description here](https://i.stack.imgur.com/o3YE5.png)](https://i.stack.imgur.com/o3YE5.png)