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Global strong solutions in $ {\mathbb{R}}^3 $ for ionic Vlasov-Poisson systems
- Source :
- Kinetic & Related Models, 2021, Vol.14(4), pp.571-597 [Peer Reviewed Journal]
- Publication Year :
- 2021
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2021.
-
Abstract
- Systems of Vlasov-Poisson type are kinetic models describing dilute plasma. The structure of the model differs according to whether it describes the electrons or positively charged ions in the plasma. In contrast to the electron case, where the well-posedness theory for Vlasov-Poisson systems is well established, the well-posedness theory for ion models has been investigated more recently. In this article, we prove global well-posedness for two Vlasov-Poisson systems for ions, posed on the whole three-dimensional Euclidean space $\mathbb{R}^3$, under minimal assumptions on the initial data and the confining potential.<br />25 pages; minor changes
- Subjects :
- Physics
Numerical Analysis
Euclidean space
Structure (category theory)
FOS: Physical sciences
Ionic bonding
Mathematical Physics (math-ph)
Plasma
Electron
Type (model theory)
Kinetic energy
01 natural sciences
010305 fluids & plasmas
Ion
010101 applied mathematics
Mathematics - Analysis of PDEs
Physics::Plasma Physics
Modeling and Simulation
0103 physical sciences
FOS: Mathematics
0101 mathematics
Mathematical Physics
Analysis of PDEs (math.AP)
Mathematical physics
Subjects
Details
- ISSN :
- 19375077
- Volume :
- 14
- Database :
- OpenAIRE
- Journal :
- Kinetic & Related Models
- Accession number :
- edsair.doi.dedup.....86b617bc7026ed8cb47dc5cef42b4441
- Full Text :
- https://doi.org/10.3934/krm.2021016