Ill-Posedness for the Benney system

Adán J. Corcho

doi:10.3934/dcds.2006.15.965

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2006, Volume 15, Issue 3: 965-972. Doi: 10.3934/dcds.2006.15.965

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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

Received: January 2005

Revised: November 2005

Published: September 2006

Abstract / Introduction Related Papers Cited by

Abstract

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, 35Q51.

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