23 citations
- Abertay UniversityGB1 paper
- Institute of Informatics & Telecommunications1 paper
- Laboratoire de Mathématiques Raphaël SalemFR1 paper
- Middlesex University MauritiusMU1 paper
- National Centre of Scientific Research "Demokritos"GR1 paper
- NATO Centre for Maritime Research and ExperimentationIT1 paper
- ParisTechFR1 paper
- University of PiraeusGR1 paper
5 papers · 1 filter
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…
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…
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…
A Gaussian beam approach for computing Wigner measures in convex domains
Jean-Luc Akian, Radjesvarane Alexandre, Salma Bougacha
A Gaussian beam method is presented for the analysis of the energy of the high frequency solution to the mixed problem of the scalar wave equation in an open and convex subset, wit…
Fractional order kinetic equations and hypoellipticity
Radjesvarane Alexandre
We give simple proofs of hypoelliptic estimates for some models of kinetic equations with a fractional order diffusion part. The proofs are based on energy estimates together with…