11 citations · 14 across the 7 of their papers we have counts for
5 papers · 1 filter
On the wave turbulence theory for a stochastic KdV type equation -- Generalization for the inhomogeneous kinetic limit
Amirali Hannani, Matthew Rosenzweig, Gigliola Staffilani +1
Starting from a stochastic Zakharov-Kuznetsov (ZK) equation on a lattice, the previous work [ST21] by the last two authors gave a derivation of the homogeneous 3-wave kinetic equat…
Wave turbulence and collective behavior models for wave equations with short- and long-range interactions
Alejandro Aceves, Ricardo Alonso, Minh-Binh Tran
In this work, we discuss a situation which could lead to both wave turbulence and collective behavior kinetic equations. The wave turbulence kinetic models appear in the kinetic li…
Optimal local well-posedness theory for the kinetic wave equation
Pierre Germain, Alexandru D. Ionescu, Minh-Binh Tran
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 radial, bu…
On the exponential convergence rate for a non-gradient Fokker-Planck equation in Computational Neuroscience
J-A Carrillo, Simona Mancini, M. -B Tran
This paper concerns the proof of the exponential rate of convergence of the solution of a Fokker-Planck equation, with a drift term not being the gradient of a potential function a…
Convergence to Equilibrium of Some Kinetic Models
Minh-Binh Tran
We introduce in this paper a new approach to the problem of the convergence to equilibrium for kinetic equations. The idea of the approach is to prove a 'weak' coercive estimate, w…