A guy at Kwik fit fill a crack in mine with some kind of sticky filler stuff while he was changing a tyre. I don't know what it was likely whatever was lying around, but to my surprise it actually has stopped it leaking for the past 18 months.
If it's a proper crack then it may have structural consequences in which case welding might not be a good idea. It's more likely to be porosity, in which case a lick of paint or getting the wheel properly refinished is likely to be a better plan.
Is it an alloy? Some times the alloys can go porous (sp) as the paint/wheel coating starts to fail or poor paint/coating can causes seal issues. Cheating I have used slime before, as that can be washed out.
See if there are a refurbed set going then sell yours on.
So...
Rear tyre keeps loosing pressure despite a new tyre being fitted.
So guessing the alloy has a crack in it. Also guessing welding (TIG?) will solve this.
Yey or ney?