Hamiltonian Birkhoff normal form for gravity-capillary water waves with constant vorticity: almost global existence
We prove an almost global existence result for space periodic solutions of the 1D gravity-
capillary water waves equations with constant vorticity. The result holds for any value of …
capillary water waves equations with constant vorticity. The result holds for any value of …
A Nekhoroshev theorem for some perturbations of the Benjamin-Ono equation with initial data close to finite gap tori
D Bambusi, P Gérard - Mathematische Zeitschrift, 2024 - Springer
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 …
on a segment. We consider the case where the perturbation is Hamiltonian and the …
Exponential stability of solutions to the Schr {\" o} dinger-Poisson equation
We prove an exponential stability result for the small solutions of the Schr {\" o} dinger-
Poisson equation on the circle without exterior parameters in Gevrey class. More precisely …
Poisson equation on the circle without exterior parameters in Gevrey class. More precisely …
Globally integrable quantum systems and their perturbations
D Bambusi, B Langella - arXiv preprint arXiv:2403.18670, 2024 - arxiv.org
In this paper we present the notion of globally integrable quantum system that we introduced
in [BL22]: we motivate it using the spectral theory of pseudodifferential operators and then …
in [BL22]: we motivate it using the spectral theory of pseudodifferential operators and then …
Long time stability for cubic nonlinear Schr\" odinger equations on non-rectangular flat tori
J Bernier, N Camps - arXiv preprint arXiv:2402.04122, 2024 - arxiv.org
We consider nonlinear Schr\" odinger equations on flat tori satisfying a simple and explicit
Diophantine non-degeneracy condition. Provided that the nonlinearity contains a cubic term …
Diophantine non-degeneracy condition. Provided that the nonlinearity contains a cubic term …
Long time stability result for d-dimensional nonlinear Schrödinger equation
H Cong, S Li, X Wu - Journal of Differential Equations, 2024 - Elsevier
Long time stability result for d-dimensional nonlinear Schrödinger equation - ScienceDirect
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Energy cascade and Sobolev norms inflation for the quantum Euler equations on tori
F Giuliani, R Scandone - arXiv preprint arXiv:2410.21080, 2024 - arxiv.org
In this paper we prove the existence of solutions to the quantum Euler equations on
$\mathbb {T}^ d $, $ d\geqslant 2$, with almost constant mass density, displaying energy …
$\mathbb {T}^ d $, $ d\geqslant 2$, with almost constant mass density, displaying energy …
Almost global existence for some Hamiltonian PDEs on manifolds with globally integrable geodesic flow
In this paper we prove an abstract result of almost global existence for small and smooth
solutions of some semilinear PDEs on Riemannian manifolds with globally integrable …
solutions of some semilinear PDEs on Riemannian manifolds with globally integrable …
Transformation of the Gibbs measure of the cubic NLS and fractional NLS under an approximated Birkhoff map
arXiv:2312.09795v1 [math.AP] 15 Dec 2023 Page 1 arXiv:2312.09795v1 [math.AP] 15 Dec
2023 TRANSFORMATION OF THE GIBBS MEASURE OF THE CUBIC NLS AND FRACTIONAL …
2023 TRANSFORMATION OF THE GIBBS MEASURE OF THE CUBIC NLS AND FRACTIONAL …
Almost Global Existence for d-dimensional Beam Equation with Derivative Nonlinear Perturbation
X Wu, J Zhao - Qualitative Theory of Dynamical Systems, 2024 - Springer
Almost Global Existence for d-dimensional Beam Equation with Derivative Nonlinear
Perturbation | Qualitative Theory of Dynamical Systems Skip to main content SpringerLink …
Perturbation | Qualitative Theory of Dynamical Systems Skip to main content SpringerLink …