127 citations · 264 across the 13 of their papers we have counts for
14 papers
Some A priori estimates for the homogeneous Landau equation with soft potentials
Radjesvarane Alexandre, Jie Liao, Chunjin Lin
This paper deals with the derivation of some á priori estimates for the homogeneous Landau equation with soft potentials. Using the coercivity of the Landau operator for soft poten…
Convergence to the equilibrium state for Bose-Einstein 1-D Kac grazing limit model
Radjesvarane Alexandre, Jie Liao, Chunjin Lin
The convergence to the equilibrium of the solution of the quantum Kac model for Bose-Einstein identical particles is studied in this paper. Using the relative entropy method and a…
Global hypoelliptic and symbolic estimates for the linearized Boltzmann operator without angular cutoff
Radjesvarane Alexandre, Frédéric Hérau, Wei-Xi Li
In this article we provide global subelliptic estimates for the linearized inhomogeneous Boltzmann equation without angular cutoff, and show that some global gain in the spatial di…
Well-posedness of The Prandtl Equation in Sobolev Spaces
Radjesvarane Alexandre, Ya-Guang Wang, Chao-Jiang Xu +1
We develop a new approach to study the well-posedness theory of the Prandtl equation in Sobolev spaces by using a direct energy method under a monotonicity condition on the tangent…
Smoothing effect of weak solutions for the spatially homogeneous Boltzmann Equation without angular cutoff
Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai +2
In this paper, we consider the spatially homogeneous Boltzmann equation without angular cutoff. We prove that every weak solution to the Cauchy problem with finite moments of…
Landau linearized operator and hypoellipticity
Radjesvarane Alexandre
We consider the linearized Landau operator for which we provide simple proofs of hypoellipticity, and in particular we recover the recent results of H\' erau and Pravda-Starov \cit…