TY - JOUR
T1 - The Maxwell–Boltzmann approximation for ion kinetic modeling
AU - Bardos, Claude
AU - Golse, François
AU - Nguyen, Toan T.
AU - Sentis, Rémi
N1 - Funding Information:
TN’s research was supported in part by the NSF under grant DMS-1405728 .
PY - 2018/8/1
Y1 - 2018/8/1
N2 - The aim of this paper is to provide a justification of the Maxwell–Boltzmann approximation of electron density from kinetic models. First, under reasonable regularity assumption, we rigorously derive a reduced kinetic model for the dynamics of ions, while electrons satisfy the Maxwell–Boltzmann relation. Second, we prove that equilibria of the electrons distribution are local Maxwellians, and they can be uniquely determined from conserved mass and energy constants. Finally, we prove that the reduced kinetic model for ions is globally well-posed. The constructed weak solutions conserve energy.
AB - The aim of this paper is to provide a justification of the Maxwell–Boltzmann approximation of electron density from kinetic models. First, under reasonable regularity assumption, we rigorously derive a reduced kinetic model for the dynamics of ions, while electrons satisfy the Maxwell–Boltzmann relation. Second, we prove that equilibria of the electrons distribution are local Maxwellians, and they can be uniquely determined from conserved mass and energy constants. Finally, we prove that the reduced kinetic model for ions is globally well-posed. The constructed weak solutions conserve energy.
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U2 - 10.1016/j.physd.2017.10.014
DO - 10.1016/j.physd.2017.10.014
M3 - Article
AN - SCOPUS:85039851472
SN - 0167-2789
VL - 376-377
SP - 94
EP - 107
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
ER -