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Chaotic-Like Transfers of Energy in Hamiltonian PDEs

We consider the nonlinear cubic Wave, the Hartree and the nonlinear cubic Beam equations on [Formula: see text] and we prove the existence of different types of solutions which exchange energy between Fourier modes in certain time scales. This exchange can be considered “chaotic-like” since either t...

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Detalles Bibliográficos
Autores principales: Giuliani, Filippo, Guardia, Marcel, Martin, Pau, Pasquali, Stefano
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550714/
https://www.ncbi.nlm.nih.gov/pubmed/34720123
http://dx.doi.org/10.1007/s00220-021-03956-9