Around 3D Boltzmann non linear operator without angular cutoff, a new formulation
Around 3D Boltzmann non linear operator without angular cutoff, a new formulation
We propose a new formulation of the 3D Boltzmann non linear operator, without assuming Grad's angular cutoff hypothesis, and for intermolecular laws behaving as 1/, with . It involves natural pseudo differential operators, under a form which is analogous to the Landau operator. It may be used in the study of the associated equations, and more precisely in the non homogeneous framework.
Propagation of electromagnetic waves in non-homogeneous media
We consider electromagnetic waves propagating in a periodic medium characterized by two small scales. We perform the corresponding homogenization process, relying on the modelling by Maxwell partial differential equations.
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