WI: French Victory at Battle of Sluys

The French win decisively at the Battle of Sluys. Can they now launch an invasion, and what happens if they do?
 
The French win decisively at the Battle of Sluys. Can they now launch an invasion, and what happens if they do?

I suspect it wouldn't end well for the French. Southern England is castellated territory which means the war would rapidly bog down into a succession of sieges where the inevitable French logistical problems will cripple them. Logistically a French invasion at this point is a nightmare due to the absence of a friendly area to act as a logistical base, meaning they will be entirely dependent on forage and cross channel shipping. This had been tried before during the tail end of Price Louis (future Louis VIII) intervention in the First Baronial War, once he lost his English supporters his situation collapsed.
 
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