Resumen de Global existence and blow-up for a shallow water equation

Adrian Constantin, Joachim Escher

• 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