Global Solutions of the Compressible Euler-Poisson Equations for Plasma with Doping Profile for Large Initial Data of Spherical Symmetry Article Swipe
Gui‐Qiang Chen
,
Lin He
,
Yong Wang
,
Difan Yuan
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2309.03158
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2309.03158
We establish the global-in-time existence of solutions of finite relative-energy for the multidimensional compressible Euler-Poisson equations for plasma with doping profile for large initial data of spherical symmetry. Both the total initial energy and the initial mass are allowed to be {\it unbounded}, and the doping profile is allowed to be of large variation. This is achieved by adapting a class of degenerate density-dependent viscosity terms, so that a rigorous proof of the inviscid limit of global weak solutions of the Navier-Stokes-Poisson equations with the density-dependent viscosity terms to the corresponding global solutions of the Euler-Poisson equations for plasma with doping profile can be established. New difficulties arise when tackling the non-zero varied doping profile, which have been overcome by establishing some novel estimates for the electric field terms so that the neutrality assumption on the initial data is avoided. In particular, we prove that no concentration is formed in the inviscid limit for the finite relative-energy solutions of the compressible Euler-Poisson equations with large doping profiles in plasma physics.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2309.03158
- https://arxiv.org/pdf/2309.03158
- OA Status
- green
- Cited By
- 1
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4386554607
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https://openalex.org/W4386554607Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2309.03158Digital Object Identifier
- Title
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Global Solutions of the Compressible Euler-Poisson Equations for Plasma with Doping Profile for Large Initial Data of Spherical SymmetryWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-09-06Full publication date if available
- Authors
-
Gui‐Qiang Chen, Lin He, Yong Wang, Difan YuanList of authors in order
- Landing page
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https://arxiv.org/abs/2309.03158Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2309.03158Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2309.03158Direct OA link when available
- Concepts
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Inviscid flow, Euler equations, Physics, Euler's formula, Poisson's equation, Compressibility, Mathematical analysis, Symmetry (geometry), Mathematics, Classical mechanics, Mechanics, GeometryTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
- Citations by year (recent)
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2024: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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