We give a sufficient condition, in the spirit of Kowalczyk–Martel–Munoz–Van Den Bosch (Ann PDE 7(1):Paper No. 10, 98, 2021), for the local asymptotic stability of kinks under odd perturbations. In particular, we allow the existence of quite general configuration of internal modes. The extension of our result to moving kinks remains an open problem.
Asymptotic stability of kink with internal modes under odd perturbation
Cuccagna S.
;Maeda M.
2023-01-01
Abstract
We give a sufficient condition, in the spirit of Kowalczyk–Martel–Munoz–Van Den Bosch (Ann PDE 7(1):Paper No. 10, 98, 2021), for the local asymptotic stability of kinks under odd perturbations. In particular, we allow the existence of quite general configuration of internal modes. The extension of our result to moving kinks remains an open problem.File in questo prodotto:
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