2 papers
math.AP2023
Sobolev instability in the cubic NLS equation with convolution potentials on irrational tori
Filippo Giuliani
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…
math.AP2023
Effective chaos for the Kirchhoff equation on tori
Pietro Baldi, Filippo Giuliani, Marcel Guardia +1
We consider the Kirchhoff equation on tori of any dimension and we construct solutions whose Sobolev norms oscillates in a chaotic way on certain long time scales. The chaoticity i…