تقرير
A Nekhoroshev theorem for some perturbations of the Benjamin-Ono equation with initial data close to finite gap tori
| العنوان: | A Nekhoroshev theorem for some perturbations of the Benjamin-Ono equation with initial data close to finite gap tori |
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| المؤلفون: | Bambusi, Dario, Gérard, Patrick |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs |
| الوصف: | We consider a perturbation of the Benjamin Ono equation with periodic boundary conditions on a segment. We consider the case where the perturbation is Hamiltonian and the corresponding Hamiltonian vector field is analytic as a map form energy space to itself. Let $\epsilon$ be the size of the perturbation. We prove that for initial data close in energy norm to an $N$-gap state of the unperturbed equation all the actions of the Benjamin Ono equation remain $\cO(\epsilon^{\frac{1}{2(N+1)}})$ close to their initial value for times exponentially long with $\epsilon^{-\frac{1}{2(N+1)}}$. Comment: 22 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.02833 |
| رقم الأكسشن: | edsarx.2312.02833 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |