Low Regularity Well-Posedness for the 3D Viscous Non-resistive MHD System with Internal Surface Wave

Low Regularity Well-Posedness for the 3D Viscous Non-resistive MHD System with Internal Surface Wave

In this paper, we establish the local well-posedness of strong solutions to the three dimensional viscous non-resistive MHD system with internal surface wave in low regularity Sobolev spaces. Due to the absence of magnetic diffusion, the proof will be based on the new Stokes estimates involving in o...

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Veröffentlicht in:Journal of mathematical fluid mechanics 2021-02, Vol.23 (1), Article 14
Hauptverfasser: Ren, Xiaoxia, Xiang, Zhaoyin
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Continuum Physics
Estimates
Fluid mechanics
Fluid- and Aerodynamics
Magnetic diffusion
Mathematical Methods in Physics
Physics
Physics and Astronomy
Regularity
Sobolev space
Surface waves
Theoretical mathematics
Well posed problems
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Zusammenfassung:In this paper, we establish the local well-posedness of strong solutions to the three dimensional viscous non-resistive MHD system with internal surface wave in low regularity Sobolev spaces. Due to the absence of magnetic diffusion, the proof will be based on the new Stokes estimates involving in optimal surface regularity, the weighted energy estimates and the higher order horizontal regularity estimates.
ISSN:1422-6928
1422-6952
DOI:10.1007/s00021-020-00521-7