In this paper, we investigate the regularity of weak solutions to the 3D incompressible MHD equations. We provide a regularity criterion for weak solutions involving any two groups functions $(partial_1u_1, partial_1b_1)$, $(partial_2u_2, partial_2b_2)$ and $(partial_3u_3, partial_3b_3)$ in anisotropic Lorentz space.

Regularity criteria for the 3D magneto-hydrodynamics equations in anisotropic Lorentz spaces

Maria Alessandra Ragusa
2021-01-01

Abstract

In this paper, we investigate the regularity of weak solutions to the 3D incompressible MHD equations. We provide a regularity criterion for weak solutions involving any two groups functions $(partial_1u_1, partial_1b_1)$, $(partial_2u_2, partial_2b_2)$ and $(partial_3u_3, partial_3b_3)$ in anisotropic Lorentz space.
2021
regularity criteria, Lorentz spaces
File in questo prodotto:
File Dimensione Formato  
12_FROM_THE_WEB_SYMMETRY_RAGUSA_WU__Regularity_Criteria_Lorentz.pdf

accesso aperto

Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 266.8 kB
Formato Adobe PDF
266.8 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/506387
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 5
social impact