The Vlasov-Maxwell-Boltzmann system in the whole space. Strain, R. M. Comm. Math. Phys., 268(2):543–567, 2006.
Pdf doi abstract bibtex 4 downloads The Vlasov-Maxwell-Boltzmann system is a fundamental model to describe the dynamics of dilute charged particles, where particles interact via collisions and through their self-consistent electromagnetic field. We prove the existence of global in time classical solutions to the Cauchy problem near Maxwellians.
@article{MR2259206,
abstract = {The Vlasov-Maxwell-Boltzmann system is a fundamental model to describe the dynamics of dilute charged particles, where particles interact via collisions and through their self-consistent electromagnetic field. We prove the existence of global in time classical solutions to the Cauchy problem near Maxwellians.},
author = {Strain, Robert M.},
date-added = {2019-07-13 15:27:26 -0400},
date-modified = {2019-07-13 15:27:26 -0400},
doi = {10.1007/s00220-006-0109-y},
eprint = {math/0512002},
fjournal = {Communications in Mathematical Physics},
issn = {0010-3616},
journal = {Comm. Math. Phys.},
keywords = {Boltzmann equation, Kinetic Theory, Vlasov-Maxwell systems},
mrclass = {82D10 (35A05 35F20 35Q60 76P05 76X05)},
mrnumber = {2259206},
mrreviewer = {Simone Calogero},
number = {2},
pages = {543--567},
title = {The {V}lasov-{M}axwell-{B}oltzmann system in the whole space},
url_pdf = {https://strain.math.upenn.edu/preprints/2005Sws.pdf},
volume = {268},
year = {2006},
zblnumber = {1129.35022},
bdsk-url-1 = {https://doi.org/10.1007/s00220-006-0109-y}}
Downloads: 4
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