11 citations · 11 across the 2 of their papers we have counts for
4 papers
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…
A kinetic model for very low temperature dilute Bose gases
Linda E. Reichl, Minh-Binh Tran
We review recent work on a kinetic model for very low temperature dilute Bose gases. The brief derivation, expressions for hydrodynamics modes, and the comparison with a experiment…
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…