It is well known that the Kirchhoff equation admits infinitely many simple modes, i.e. time-periodic solutions with only one Fourier component in the space variable(s). We prove that these simple modes are stable provided that their energy is small enough. Here stable means orbitally stable as solutions of the two-mode system obtained considering initial data with two Fourier components.

Stability of simple modes for a class of Kirchhoff equation

GHISI, MARINA;GOBBINO, MASSIMO
2001-01-01

Abstract

It is well known that the Kirchhoff equation admits infinitely many simple modes, i.e. time-periodic solutions with only one Fourier component in the space variable(s). We prove that these simple modes are stable provided that their energy is small enough. Here stable means orbitally stable as solutions of the two-mode system obtained considering initial data with two Fourier components.
2001
Ghisi, Marina; Gobbino, Massimo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/186410
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