5 citations · 6 across the 3 of their papers we have counts for
5 papers
A Linear Stochastic Model of Turbulent Cascades and Fractional Fields
Gabriel B. Apolinário, Geoffrey Beck, Laurent Chevillard +2
Turbulent cascades characterize the transfer of energy injected by a random force at large scales towards the small scales. In hydrodynamic turbulence, when the Reynolds number is…
Large deviations principle for the cubic NLS equation
Miguel Angel Garrido, Ricardo Grande, Kristin M. Kurianski +1
In this paper, we present a probabilistic study of rare phenomena of the cubic nonlinear Schrödinger equation on the torus in a weakly nonlinear setting. This equation has been use…
On the nonlinear Dysthe equation
Ricardo Grande, Kristin M. Kurianski, Gigliola Staffilani
This work is dedicated to putting on a solid analytic ground the theory of local well-posedness for the two dimensional Dysthe equation. This equation can be derived from the incom…
Continuum limit for discrete NLS with memory effect
Ricardo Grande
We consider a discrete nonlinear Schrödinger equation with long-range interactions and a memory effect on the infinite lattice with mesh-size . Such models are common in…
Space-time fractional NLS equation
Ricardo Grande
In this paper we prove local well-posedness of a space-time fractional generalization of the nonlinear Schrödinger equation with a power-type nonlinearity. The linear equation coin…