42 citations · 189 across the 22 of their papers we have counts for
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Strong smoothing for the non-cutoff homogeneous Boltzmann equation for Maxwellian molecules with Debye-Yukawa type interaction
Jean-Marie Barbaroux, Dirk Hundertmark, Tobias Ried +1
We study weak solutions of the homogeneous Boltzmann equation for Maxwellian molecules with a logarithmic singularity of the collision kernel for grazing collisions. Even though in…
Gevrey smoothing for weak solutions of the fully nonlinear homogeneous Boltzmann and Kac equations without cutoff for Maxwellian molecules
Jean-Marie Barbaroux, Dirk Hundertmark, Tobias Ried +1
It has long been suspected that the non-cutoff Boltzmann operator has similar coercivity properties as a fractional Laplacian. This has led to the hope that the homogenous Boltzman…
Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials
Jean-Marie Barbaroux, Josef Mehringer, Edgardo Stockmeyer +1
We consider two-dimensional massless Dirac operators in a radially symmetric electromagnetic field. In this case the fields may be described by one-dimensional electric and magneti…