[HTML][HTML] Sobolev instability in the cubic NLS equation with convolution potentials on irrational tori
F Giuliani - Journal of Differential Equations, 2025 - Elsevier
In this paper we prove the existence of solutions to the cubic NLS equation with convolution
potentials on two dimensional irrational tori undergoing an arbitrarily large growth of …
potentials on two dimensional irrational tori undergoing an arbitrarily large growth of …
Energy cascade for the Klein-Gordon lattice
S Pasquali - arXiv preprint arXiv:2304.07146, 2023 - arxiv.org
We study analytically the dynamics of a $ d $-dimensional Klein-Gordon lattice with periodic
boundary conditions, for $ d\leq 3$. We consider initial data supported on one low-frequency …
boundary conditions, for $ d\leq 3$. We consider initial data supported on one low-frequency …
Strong law of large numbers and central limit theorem for stochastic lattice differential equations
X Deng, Y Han - Discrete and Continuous Dynamical Systems-B, 2025 - aimsciences.org
In this paper, we establish the strong law of large numbers (SLLN) and central limit theorem
(CLT) for the time-inhomogeneous stochastic lattice differential equations in different …
(CLT) for the time-inhomogeneous stochastic lattice differential equations in different …
NORMAL FORM METHODS FOR SOME NON LINEAR HAMILTONIAN PDES IN HIGHER DIMENSION
F Monzani - 2024 - air.unimi.it
The thesis deals with perturbation theory for non-linear Hamiltonian partial differential
equations on high dimensional compact manifolds. In particular, we prove almost global …
equations on high dimensional compact manifolds. In particular, we prove almost global …