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- Title
Moment Propagation of the Plasma-Charge Model with a Time-Varying Magnetic Field.
- Authors
Wu, Jingpeng; Zhang, Xianwen
- Abstract
In this paper, we prove the global existence and moment propagation of weak solutions for the repulsive plasma-charge model with a time-varying magnetic field. Multi-point charges are allowed according to an improved mechanism to compensate the asymmetry caused by the point charges, which brings us back to the standard Lions-Perthame’s argument. To deal with two type singularities induced by the point charges and the magnetic field, we combine the ideas from Desvillettes et al. (Ann Inst H Poincaré Anal Non Linéaire 32(2):373–400, 2015) and Rege (SIAM J Math Anal 53(2):2452–2475, 2021). The density of the plasma is allowed to be constant around the point charges, by applying the moment lemma established in Perthame (Math Methods Appl Sci 13(5):41–452, 1990) and careful compactness argument. The result answers two questions raised in Desvillettes et al. (Ann Inst H Poincaré Anal Non Linéaire 32(2):373–400, 2015).
- Publication
Journal of Statistical Physics, 2023, Vol 190, Issue 11, p1
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-023-03201-8