Radja Alexandre

Radja Alexandre

Chair Professor

(86-21) 54747526

Brief Introduction

Radjesvarane (Radja) Alexandre, Chair professor; he was born in 1966, received his Ph.D. in 1993 from the University of Paris VI, France, and held positions successively at University of Orléans and University of Evry, in France. He was also associated with some French Engineering Schools. Since 2007, he is professor of Applied Mathematics at French Naval Academy, deputy director of the Naval Academy Research Institute (IRENAV), as well as the leader of Under Water Acoustics Group. He became chair professor at Shanghai Jiao Tong University since June of 2010. Radjesvarane Alexandre has a proven track record in mathematical fields such as Cauchy problem for kinetic equations, in particular Boltzmann equation, with related links with Harmonic Analysis, as well as Underwater Acoustics and Signal analysis. As a member of Editorial Board of Journal of Kinetic and Related Models, he has had long commitment to the research of various scientific research foundation projects in France, and has advised several doctoral candidates.

Research Interests

Homogenization Theory,Kinetic Equations, Partial Differential Equations from Fluid Mechanics,and Signal Processing.

Research Highlights

Radja Alexander’s main works were focused on Boltzmann equation for long range interactions. This is a well know collisional model in the kinetic theory of gases, and still challenging for the pde community, as regards Cauchy problem. Together with Cédric Villani (2010 Fields Medal), they have introduced a notion of weak solution which have enabled us to completely justify the transition from this Boltzmann equation towards another well know model of kinetic theory, the Landau equation. These works use in a crucial way another work in collaboration with Laurent Desvillettes and Bernt Wennberg, which is the one the basic ingredients for studying long range interactions, and since then has given recent developments.

The classical theory of perturbative solutions for the Boltzmann equation has been settled recently in a series of works done in collaboration with Yoshinori Morimoto, Seiji Ukai, Chao-Jiang Xu and Tong Yang.

Radja Alexander is also extremely interested in homogenization theory, a very difficult topic, in the spirit of his academic grand-father Luc Tartar.

Another topic he is found of includes mathematics for engineering sciences, and special signal processing. For example, he has been working on the Empirical Mode Decomposition, a notion introduced recently by H. Huang for the analysis of non stationary signals. More generally, he is found of topics connected with Naval Sciences, which include Fluid Mechanics, Inverse Problems and so on.

Selected Publications