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August  2006, 15(3): 965-972. doi: 10.3934/dcds.2006.15.965

Ill-Posedness for the Benney system

Adán J. Corcho 1,

1. 

Universidade Federal de Alagoas, Departamento de Matemática, Campus A. C. Simões, Tabuleiro do Martins, 57072-900, Maceió-Alagoas, Brazil

Received  January 2005 Revised  November 2005 Published  April 2006

We discuss ill-posedness issues for the initial value problem associated to the Benney system. To prove our results we use the method introduced by Kenig, Ponce and Vega [10] to show ill-posedness for some canonical dispersive equations.
Keywords: Ill-posedness, Benney system..
Mathematics Subject Classification: 35Q55, 35Q5.
Citation: Adán J. Corcho. Ill-Posedness for the Benney system. Discrete & Continuous Dynamical Systems, 2006, 15 (3) : 965-972. doi: 10.3934/dcds.2006.15.965
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