Seminarreihe "structure preserving numerical methods for hyperbolic equations" im Oberseminar Mathematische Strömungsmechanik: Jeff Haack

This talk is part of the seminar series "structure preserving numerical methods for hyperbolic equations", click here for more details 

Abstract:

In collisional, kinetic plasmas, the collective effect of grazing collisions allows the Boltzmann collision operator
to be approximated by the Landau, or Landau-Fokker-Planck operator. We revisit this derivation and
observe that the small angle cutoff typically used in this approximation can also be modeled with a velocity
dependence. We apply a spectral formulation to the modified Boltzmann operator and derive a new, modified
Landau collision operator which now includes a velocity dependent, rather than constant, Coulomb logarithm
CL(|u|). We also derive the rate of convergence of the grazing collision approximation within this spectral framework
in terms of the plasma coupling parameter Gamma. We present some preliminary numerical results as well
as details related to the numerical implementation of the spectral method.

via Zoom video conference (request the Zoom link from klingen@mathematik.uni-wuerzburg.de)