The thesis deals with perturbation theory for non-linear Hamiltonian partial differential equations on high dimensional compact manifolds. In particular, we prove almost global existence for some PDEs of general interest and we provide a suitable algebraic and geometric framework. Proofs are based on normal form methods.
NORMAL FORM METHODS FOR SOME NON LINEAR HAMILTONIAN PDES IN HIGHER DIMENSION / F. Monzani ; tutor: D. Bambusi ; coordinatore: D. Bambusi. Dipartimento di Fisica Aldo Pontremoli, 2024 Apr 23. 36. ciclo, Anno Accademico 2022/2023.
NORMAL FORM METHODS FOR SOME NON LINEAR HAMILTONIAN PDES IN HIGHER DIMENSION
F. Monzani
2024
Abstract
The thesis deals with perturbation theory for non-linear Hamiltonian partial differential equations on high dimensional compact manifolds. In particular, we prove almost global existence for some PDEs of general interest and we provide a suitable algebraic and geometric framework. Proofs are based on normal form methods.File in questo prodotto:
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