Stability of the relativistic Maxwellian in a collisional plasma. Strain, R. M. & Guo, Y. Comm. Math. Phys., 251(2):263–320, 2004. Pdf doi abstract bibtex 6 downloads The relativistic Landau-Maxwell system is among the most fundamental and complete models for describing the dynamics of a dilute collisional plasma in which particles interact through Coulombic collisions and through their self-consistent electromagnetic field. We construct the first global in time classical solutions. Our solutions are constructed in a periodic box and near the relativistic Maxwellian, the Jüttner solution.
@article{MR2100057,
abstract = {The relativistic Landau-Maxwell system is among the most fundamental and complete models for describing the dynamics of a dilute collisional plasma in which particles interact through Coulombic collisions and through their self-consistent electromagnetic field. We construct the first global in time classical solutions. Our solutions are constructed in a periodic box and near the relativistic Maxwellian, the J\"{u}ttner solution.},
author = {Strain, Robert M. and Guo, Yan},
date-added = {2019-07-13 15:27:26 -0400},
date-modified = {2019-08-08 11:41:54 -0600},
doi = {10.1007/s00220-004-1151-2},
fjournal = {Communications in Mathematical Physics},
issn = {0010-3616},
journal = {Comm. Math. Phys.},
keywords = {Landau equation, relativistic Landau equation, Kinetic Theory, relativistic Kinetic Theory, Vlasov-Maxwell systems},
mrclass = {82D10 (35Q60 35Q75 76X05 76Y05)},
mrnumber = {2100057},
mrreviewer = {C\'edric Villani},
number = {2},
pages = {263--320},
title = {Stability of the relativistic {M}axwellian in a collisional plasma},
urlpdf = {https://strain.math.upenn.edu/preprints/2004SG.pdf},
volume = {251},
year = {2004},
zblnumber = {1113.82070},
bdsk-url-1 = {https://doi.org/10.1007/s00220-004-1151-2}}
Downloads: 6
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