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タイトル: On a Navier–Stokes–Ohm problem from plasma physics in multi connected domains
著者: Shimizu, Senjo  kyouindb  KAKEN_id  orcid https://orcid.org/0000-0003-1220-0627 (unconfirmed)
Tsuritani, Hidenobu
著者名の別形: 清水, 扇丈
釣谷, 英伸
キーワード: Navier–Stokes–Ohm problem
Electro-magneto-hydrodynamics model
Multi connected domains
Stokes operator
Maxwell operator
Maximal Lp-regularity
Well-posedness
Nonlinear stability
Global existence
35B35
76E25
発行日: Dec-2021
出版者: Springer Nature
誌名: Partial Differential Equations and Applications
巻: 2
号: 6
論文番号: 75
抄録: We consider a model from electro-magneto-hydrodynamics describing a plasma in bounded multi connected domains. A nontrivial solution exists for magnetic fields as the equilibrium of this model. Nonlinear stability of the nontrivial solution is proved based on time weighted maximal Lp-regularity.
著作権等: © The Author(s) 2021
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
URI: http://hdl.handle.net/2433/278395
DOI(出版社版): 10.1007/s42985-021-00122-7
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