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math.AP2023
Derivation of the bacterial run-and-tumble kinetic model : quantitative and strong convergence results
Alain Blaustein
During the past century, biologists and mathematicians investigated two mechanisms underlying bacteria motion: the run phase during which bacteria move in straight lines and the tu…
math.NA2023★ 1 cited
A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model
Alain Blaustein, Francis Filbet
We propose a numerical method for the Vlasov-Poisson-Fokker-Planck model written as an hyperbolic system thanks to a spectral decomposition in the basis of Hermite functions with r…