It is well known that Kirchhoff equations admits infinitely many simple modes, i. e. time periodic solutions with only one Fourier component in the space variable. We prove that, for some choices of the nonlinearity, these simple modes are unstable provided that their energy is large enough.
Unstable simple modes for a class of Kirchhoff equations
GHISI, MARINA;GOBBINO, MASSIMO
2001-01-01
Abstract
It is well known that Kirchhoff equations admits infinitely many simple modes, i. e. time periodic solutions with only one Fourier component in the space variable. We prove that, for some choices of the nonlinearity, these simple modes are unstable provided that their energy is large enough.File in questo prodotto:
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