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- Title
A global existence of classical solutions to the two-dimensional Vlasov-Fokker-Planck and magnetohydrodynamics equations with large initial data.
- Authors
Huang, Bingkang; Zhang, Lan
- Abstract
We present a two-dimensional coupled system for particles and compressible conducting fluid in an electromagnetic field interactions, which the kinetic Vlasov-Fokker-Planck model for particle part and the isentropic compressible MHD equations for the fluid part, respectively, and these separate systems are coupled with the drag force. For this specific coupled system, a sufficient framework for the global existence of classical solutions with large initial data which may contain vacuum is established.
- Subjects
MAGNETOHYDRODYNAMICS; VLASOV equation; CLASSICAL solutions (Mathematics); ELECTROMAGNETIC fields; PARTICLE physics; PARTIAL differential equations
- Publication
Kinetic & Related Models, 2019, Vol 12, Issue 2, p357
- ISSN
1937-5093
- Publication type
Article
- DOI
10.3934/krm.2019016