Borys Alvarez-Samaniego
Published 2007-05-23Version 1
J. Angulo and J. F. Montenegro (J. Differential Equations 174 (2001), no. 1, 181-199) published a paper about nonlinear stability of solitary waves for an interaction system between a long internal wave and a short surface wave in a two layer fluid considering that the fluid depth of the lower layer is sufficiently large in comparison with the wavelength of the internal wave. In this note, we show that in a critical step during the proof of Lemma 2.4 in the above mentioned paper, there is a claim used by the authors which fails to be true. Lemma 2.4 is crucial for the proof of Lemma 2.7, and for the proof of stability in Theorem 2.1 in the paper before mentioned.
Orbital Stability of Periodic Traveling Waves for the "abcd" Boussinesq Systems
Orbital Stability of Soliton for the Derivative Nonlinear Schrödinger Equation in the $L^2$ Space
On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator
![QR code for arXiv:0705.3443 [math.AP]](http://oss.arxitics.com/images/favicon.svg)