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20092025
most citedA Taxonomy of Network Threats and the Effect of Current Datasets on Intrusion Detection Systems

275 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing math.APShow all

8 papers · 1 filter

math.AP2013

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…

math.AP2012★ 5 cited

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…

math.AP2011

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…

math.AP2011

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…

math.AP2011

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…

math.AP2010★ 84 cited

The Boltzmann equation without angular cutoff in the whole space: III, Qualitative properties of solutions

Radjesvarane Alexandre, Yoshinori Morimoto, Seiji Ukai +2

This is a continuation of our series of works for the inhomogeneous Boltzmann equation. We study qualitative properties of classical solutions, precisely, the full regularization i…

math.AP2009★ 2 cited

Global existence and full regularity of the Boltzmann equation without angular cutoff

Radjesvarane Alexandre, Y. Morimoto, Seiji Ukai +2

We prove the global existence and uniqueness of classical solutions around an equilibrium to the Boltzmann equation without angular cutoff in some Sobolev spaces. In addition, the…

math.AP2009★ 127 cited

Regularizing effect and local existence for non-cutoff Boltzmann equation

Radjesvarane Alexandre, Y. Morimoto, Seiji Ukai +2

The Boltzmann equation without Grad's angular cutoff assumption is believed to have regularizing effect on the solution because of the non-integrable angular singularity of the cro…