16 citations · 28 across the 2 of their papers we have counts for
8 papers
Fermi-Pasta-Ulam phenomena and persistent breathers in the harmonic trap
Anxo Biasi, Oleg Evnin, Boris A. Malomed
We consider the long-term weakly nonlinear evolution governed by the two-dimensional nonlinear Schrödinger (NLS) equation with an isotropic harmonic oscillator potential. The dynam…
Self-Similar Solutions to the Compressible Euler Equations and their Instabilities
Anxo Biasi
This paper addresses the construction and the stability of self-similar solutions to the isentropic compressible Euler equations. These solutions model a gas that implodes isotropi…
Complex plane representations and stationary states in cubic and quintic resonant systems
Anxo Biasi, Piotr Bizon, Oleg Evnin
Weakly nonlinear energy transfer between normal modes of strongly resonant PDEs is captured by the corresponding effective resonant systems. In a previous article, we have construc…
Gravitational wave driving of a gapped holographic system
Anxo Biasi, Javier Mas, Alexandre Serantes
This work addresses the response of a holographic conformal field theory to a homogeneous gravitational periodic driving. The dual geometry is the AdS-soliton, which models a stron…
Energy returns in global AdS_4
Anxo Biasi, Ben Craps, Oleg Evnin
Recent studies of the weakly nonlinear dynamics of probe fields in global AdS (and of the nonrelativistic limit of AdS resulting in the Gross-Pitaevskii equation) have revealed…
Solvable cubic resonant systems
Anxo Biasi, Piotr Bizon, Oleg Evnin
Weakly nonlinear analysis of resonant PDEs in recent literature has generated a number of resonant systems for slow evolution of the normal mode amplitudes that possess remarkable…