Department of Applied Mathematics
Nanjing Forestry University
Nanjing 210037, China
email: jp.wu@njfu.edu.cn
Department of Applied Mathematics
Nanjing Forestry University
Nanjing 210037, China
email: zhumin@njfu.edu.cn
Jingpeng Wu, Min Zhu
Abstract:
This article studies an initial-boundary value problem for the plasma-charge model
in a half-space. We establish the existence of classical local solutions when the
point charges are in motion, and the existence of classical global solutions when the
point charges remain fixed away from the boundary. In contrast to previous studies of
the plasma-charge model in convex domains, our approach does not require the separation
of singular sets, owing to the flat boundary.
Moreover, we derive classical growth estimates for the support of the plasma distribution
and obtain corresponding dispersion estimates.
Submitted March 6, 2025. Published November 13, 2025.
Math Subject Classifications: 35Q83, 35A01, 35A02.
Key Words: Plasma-charge model; point charges; global existence; boundary effect; classical solution.
DOI: 10.58997/ejde.2025.106
Show me the PDF file ( 406 KB), TEX file for this article.
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Jingpeng Wu Department of Applied Mathematics Nanjing Forestry University Nanjing 210037, China email: jp.wu@njfu.edu.cn |
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Min Zhu Department of Applied Mathematics Nanjing Forestry University Nanjing 210037, China email: zhumin@njfu.edu.cn |
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