Wave breaking of periodic solutions to the Fornberg-Whitham equation
Wave breaking of periodic solutions to the Fornberg-Whitham equation
Based on recent well-posedness results in Sobolev (or Besov spaces) for periodic solutions to the Fornberg-Whitham equations we investigate here the questions of wave breaking and blow-up for these solutions. We show first that finite maximal life time of a solution necessarily leads to wave breaking. Second, we prove that …