Global existence and blow-up for a shallow water equation

• Adrian Constantin ^[2] ; Joachim Escher ^[1]
  1. [1] University of Kassel

     University of Kassel

     Kreisfreie Stadt Kassel, Alemania

     
  2. [2] University Zürich, Switzerland
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 26, Nº 2, 1998, págs. 303-328
• Idioma: inglés
• Enlaces
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• Resumen

  • An interesting phenomenon in water channels is the appearance of waves with length much greater than the depth of the water. In 1895 D. J. Korteweg and G. de Vries started the mathematical theory of this phenomenon and derived a model describing unidirectional propagation of waves of the free surface of a shallow layer of water. This is the well-known KdV equation