191 citations · 708 across the 83 of their papers we have counts for
93 papers
An extension theory for fully fractional Schrödinger equations with memory
Nicola Garofalo, Gigliola Staffilani
We develop a Caffarelli-Silvestre extension theory for the fully fractional Schrödinger operator , , nonlocal in space and time, whose Cau…
Two-Dimensional -plane Turbulence: Dual Cascade and Zonal Jets
Yuri Cacchiò, Amirali Hannani, Gigliola Staffilani
We derive an exact and novel expression for an averaged two-point correlation function in the statistically stationary, forced-dissipative two-dimensional Navier-Stokes equations s…
Global time-analytic strong solutions for a class of 3-wave kinetic equations
Nguyen Gia Hien, Gigliola Staffilani, Minh-Binh Tran
We study a class of 3-wave kinetic equations arising in wave turbulence theory, with regularized kernels. For radial, nonnegative initial data, we construct an exact global-in-time…
Complex-valued modified Zakharov Kuznetsov equation
Carlos E. Kenig, Nataša Pavlović, Gigliola Staffilani +1
Motivated by the introduction of the Zakharov-Kuznetsov equation as a higher dimensional generalization of the Korteweg-de Vries equation, in this paper we introduce the modified Z…
Strichartz estimates for Schrödinger equations with nonlinear boundary interactions
Nicola Garofalo, Gigliola Staffilani
We study a Schrödinger equation in the upper half-space with a nonlinear Neumann boundary interaction driven by the Bessel operator $\Ba$, . The problem arises naturally as a…
Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations
Gigliola Staffilani, Minh-Binh Tran
We establish a new class of entropy structures for \(3\)-wave kinetic equations with a broad family of interaction weights. Unlike the classical entropies arising from detailed bal…