Displaying similar documents to “Note on modulational instability of Boussinesq wavetrains.”

Unconditional nonlinear stability in a polarized dielectric liquid

Giuseppe Mulone, Salvatore Rionero, Brian Straughan (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We derive a very sharp nonlinear stability result for the problem of thermal convection in a layer of dielectric fluid subject to an alternating current (AC). It is particularly important to note that the size of the initial energy in which we establish global nonlinear stability is not restricted whatsoever, and the Rayleigh-Roberts number boundary coincides with that found by a formal linear instability analysis.

L 2 -stability of multi-solitons

Claudio Muñoz (2011-2012)

Séminaire Laurent Schwartz — EDP et applications

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The aim of this note is to give a short review of our recent work (see []) with Miguel A. Alejo and Luis Vega, concerning the L 2 -stability, and asymptotic stability, of the N - of the Korteweg-de Vries (KdV) equation.