From the 1 of 19 linked papers with an AI index.
19 papers
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…
Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations
Gigliola Staffilani, Minh-Binh Tran
The paper introduces new entropy structures for three‑wave kinetic equations based on a one‑sided algebraic balance condition, and uses them to construct global weak solutions that…
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, NataÅ¡a PavloviÄ, 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…
Rogue waves and large deviations for 2D pure gravity deep water waves
Massimiliano Berti, Ricardo Grande, Alberto Maspero +1
Rogue waves are extreme ocean events characterized by the sudden formation of anomalously large crests, and remain an important subject of investigation in oceanography and mathema…