collaborators

6 papers

math.AP2024

Numerical Simulation of Polarized Light and Temperature in a Stratified Atmosphere with a Slowly Varying Refractive Index

Olivier Pironneau

This article is an attempt to elucidate the effect of a slowly varying refractive index on the temperature in a stratified atmosphere, with a particular focus on greenhouse gases s…

math.AP2024

Numerical Simulation of Polarized Light and Temperature with a Refractive Interface

Olivier Pironneau

In this article we propose a numerical algorithm to compute the intensity and polarization of a polychromatic electromagnetic radiation crossing a medium with graded refractive ind…

math.NA2023

Optimal Quota for a Multi-species Fishing Models

Olivier Pironneau

A Stochastic Control Problem can be solved by Dynamic Programming or Distributed Optimal Control with the Kolmogorov equation for the probability density of the Markov process of t…

math.NA2023

Simulation of the 3D Radiative Transfer with Anisotropic Scattering for Convective Trails

Olivier Pironneau, Pierre-Henri Tournier

The integro-differential formulation of the RTE and its solution by iterations on the source has been extended here to handle anisotropic scattering. The iterative part of the meth…

math.NA2023

Reflective Conditions for Radiative Transfer in Integral Form with H-Matrices

Olivier Pironneau, Pierre-Henri Tournier

In a recent article the authors showed that the radiative Transfer equations with multiple frequencies and scattering can be formulated as a nonlinear integral system. In the prese…

math.AP2021

Radiative Transfer in a Fluid

Francois Golse, Olivier Pironneau

We study the Radiative Transfer equations coupled with the time dependent temperature equation of a fluid: existence, uniqueness, a maximum principle are established. A short numer…