Steady-states and traveling-wave solutions of the generalized Constantin--Lax--Majda  equation

Hisashi Okamoto; Takashi Sakajo; Marcus Wunsch

doi:10.3934/dcds.2014.34.3155

Article Contents

2014, Volume 34, Issue 8: 3155-3170. Doi: 10.3934/dcds.2014.34.3155

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Steady-states and traveling-wave solutions of the generalized Constantin--Lax--Majda equation

1.
Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502
2.
Department of Mathematics, Kyoto University, Kyoto, 606-8502
3.
Departement Mathematik, ETH Zürich, 8092 Zurich

Received: May 2013

Published: August 2014

Abstract / Introduction Related Papers Cited by

Abstract

Steady-states and traveling-waves of the generalized Constantin--Lax--Majda equation are computed and their asymptotic behavior is described. Their relation with possible blow-up and the Benjamin--Ono equation is discussed.

Keywords:

Steady-state,
traveling wave,
generalized Constantin--Lax--Majda equation.

Mathematics Subject Classification: Primary: 35Q35; Secondary: 35C07, 76B03.

Citation:

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