As aatrox, You will want to CC him as much as possible. You may even be able to interrupt his dash using your *Q*.

Some healing reduction will help you a lot in this matchup. Make it a point to not let him sustain off you.

Always look to ult him before he can get to your allies. This way you will be able to kill him quickly with your team.

The wave can be kept close to your tower if need be. Just make sure that you build up a sizeable wave before looking for an all-in. As aatrox, You will want the CC as much as possible. You may even be able to interrupt its dash using your *Q*. A certain reduction in healing will help you a lot in this matchup. Make a point not to let it support you. Always look at the ult before it can reach your allies. In this way, you will be able to kill it quickly with your team. The wave can be kept close to your turn if necessary. Make sure you build an important wave before looking for an all-in.