3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Numerical Simulations on Nonlinear Quantum Graphs with the GraFiDi Library
Christophe Besse, Romain Duboscq, Stefan Le Coz
Nonlinear quantum graphs are metric graphs equipped with a nonlinear Schr{ö}dinger equation. Whereas in the last ten years they have known considerable developments on the theoreti…
Entropy minimization for many-body quantum systems
Romain Duboscq, Olivier Pinaud
The problem considered here is motivated by a work by B. Nachtergaele and H.T. Yau where the Euler equations of fluid dynamics are derived from manybody quantum mechanics, see [10]…
On Strichartz estimates for a dispersion modulated by a time-dependent deterministic noise
Romain Duboscq
We address the Cauchy problem for a nonlinear Schr{ö}dinger equation where the dispersion is modulated by a deterministic noise. The noise is understood as the derivative of a self…
On a stochastic Hardy-Littlewood-Sobolev inequality with application to Strichartz estimates for the white noise dispersion
Romain Duboscq, Anthony Réveillac
In this paper, we investigate a stochastic Hardy-Littlewood-Sobolev inequality. Due to the stochastic nature of the inequality, the relation between the exponents of intgrability i…