Please take a look at the Table of Contents.
My name is Minh-Binh Tran. I was born in 1985 in Vietnam. I am currently an Assistant Professor at the Department of Mathematics, Southern Methodist University, Dallas, Texas.
There have been very few rigorous mathematical results on Boltzmann-type equations arising in wave turbulence and quantum kinetic theories, despite their central roles in several aspects of sciences and engineering, due to their complexities in comparison with the classical Boltzmann equations. This blog is a collection of my works on the rigorous mathematical properties of kinetic wave equations arising in wave turbulence and quantum kinetic theories, as well as some of my works on scientific computing – uncertainty quantification.
My research is partially supported by the National Science Foundation under Grants DMS-1814149 & DMS-1854453.