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Kink dynamics under odd perturbations for (1+1)-scalar field models with one internal mode

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arxiv 2203.04143 v1 pith:KTILRGFE submitted 2022-03-08 math.AP

Micha{l} Kowalczyk , Yvan Martel This is my paper · ORCID
classification math.AP
keywords perturbationsfieldinternalkinkmodemodelsscalarunder
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abstract

We consider odd symmetric (1+1)-scalar field models with one internal mode. Under natural and robust assumptions, including the Fermi golden rule, we prove the asymptotic stability of the kink by odd perturbations in the energy space. For example, the result applies to the $\phi^4$ model with odd symmetry and some of its perturbations.

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  1. Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordstr\"om black hole

    math.AP 2025-01 reject novelty 7.0 of 10

    For the Bizon-Kahl Yang-Mills kink in an extremal Reissner-Nordström background, globally bounded perturbations are shown to converge locally in space, and a finite-codimensional stable manifold is built.

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