Arbitrarily Large Solutions of the Vlasov--Poisson System Article Swipe
Jonathan Ben‐Artzi
,
Simone Calogero
,
Stephen Pankavich
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1137/17m1142715
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.1137/17m1142715
We study smooth, global-in-time solutions of the Vlasov-Poisson system in the plasma physical case that possess arbitrarily large charge densities and electric fields. In particular, we construct two classes of solutions with this property. The first class are spherically-symmetric solutions that initially possess arbitrarily small density and field values, but attain arbitrarily large values of these quantities at some later time. Additionally, we construct a second class of spherically-symmetric solutions that possess any desired mass and attain arbitrarily large density and field values at any later prescribed time.
Related Topics
Concepts
Class (philosophy)
Poisson distribution
Property (philosophy)
Electric field
Construct (python library)
Charge (physics)
Poisson's equation
Physics
Field (mathematics)
Mathematical analysis
Vlasov equation
Mathematics
Plasma
Statistical physics
Classical mechanics
Applied mathematics
Mathematical physics
Pure mathematics
Quantum mechanics
Computer science
Epistemology
Statistics
Artificial intelligence
Programming language
Philosophy
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- https://doi.org/10.1137/17m1142715
- OA Status
- green
- References
- 12
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W2743000950
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https://openalex.org/W2743000950Canonical identifier for this work in OpenAlex
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https://doi.org/10.1137/17m1142715Digital Object Identifier
- Title
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Arbitrarily Large Solutions of the Vlasov--Poisson SystemWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2018Year of publication
- Publication date
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2018-01-01Full publication date if available
- Authors
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Jonathan Ben‐Artzi, Simone Calogero, Stephen PankavichList of authors in order
- Landing page
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https://doi.org/10.1137/17m1142715Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/1708.02307Direct OA link when available
- Concepts
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Class (philosophy), Poisson distribution, Property (philosophy), Electric field, Construct (python library), Charge (physics), Poisson's equation, Physics, Field (mathematics), Mathematical analysis, Vlasov equation, Mathematics, Plasma, Statistical physics, Classical mechanics, Applied mathematics, Mathematical physics, Pure mathematics, Quantum mechanics, Computer science, Epistemology, Statistics, Artificial intelligence, Programming language, PhilosophyTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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20Other works algorithmically related by OpenAlex
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