I'm no fan of red wine, but getting spoiled already by the next day sounds very strange. However, like Bill, I have always kept opened bottles in the fridge. Theoretically the lower temperature should slow down the degradation since it's a chemical process.

In fact I have kept in the fridge all alcoholic drinks once opened. It should also slow down evaporation of ethanol, after all. I don't drink nearly enough to buy those cardboard boxes, which would remove all the problems.