Weakly nonlinear dynamics in anti-de Sitter (AdS) spacetimes is reviewed, kee** an eye
on the AdS instability conjecture and focusing on the resonant approximation that accurately …

Consider the cubic nonlinear Schrödinger equation set on ad-dimensional torus, with data
whose Fourier coefficients have phases which are uniformly distributed and independent …

We identify a class of trap** potentials in cubic nonlinear Schrödinger equations (NLSEs)
that make them nonintegrable, but prevent the emergence of power spectra associated with …

We consider the cubic nonlinear Schrödinger (NLS) equation set on a two-dimensional box
of size $ L $ with periodic boundary conditions. By taking the large-box limit $ L\to\infty $ in …

Starting from the stochastic Zakharov-Kuznetsov equation, a multidimensional KdV type
equation on a hypercubic lattice, we provide a derivation of the 3-wave kinetic equation. We …

We prove local existence and uniqueness results for the (space-homogeneous) 4-wave
kinetic equation in wave turbulence theory. We consider collision operators defined by …

We study dynamical properties of the cubic lowest Landau level equation, which is used in
the modeling of fast rotating Bose–Einstein condensates. We obtain bounds on the decay of …

The lowest Landau level (LLL) equation emerges as an accurate approximation for a class
of dynamical regimes of Bose-Einstein condensates (BEC) in two-dimensional isotropic …

The Unruh effect is a quantum relativistic effect where the accelerated observer perceives
the vacuum as a thermal state. Here we propose the experimental realization of the Unruh …

We introduce specific solutions to the linear harmonic oscillator, named bubbles. They form
resonant families of invariant tori of the linear dynamics, with arbitrarily large Sobolev norms …