On a Navier–Stokes–Ohm problem from plasma physics in multi connected domains

Senjo Shimizu () and Hidenobu Tsuritani ()
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Senjo Shimizu: Kyoto University
Hidenobu Tsuritani: Kyoto University

Partial Differential Equations and Applications, 2021, vol. 2, issue 6, 1-18

Abstract: Abstract 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 $$L_p$$ L p -regularity.

Keywords: Navier–Stokes–Ohm problem; Electro-magneto-hydrodynamics model; Multi connected domains; Stokes operator; Maxwell operator; Maximal $$L_p$$ L p -regularity; Well-posedness; Nonlinear stability; Global existence; 35B35; 76E25 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00122-7

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