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Volume 3, Issue 4
Regularity Criteria of the Solutions to Axisymmetric Magnetohydrodynamic System

Xuemeng Liu

DOI: 10.12150/jnma.2021.577

J. Nonl. Mod. Anal., 3 (2021), pp. 577-601.

Published online: 2022-06

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, we consider Cauchy problem of the axially symmetric Magnetohydrodynamic (MHD) system. By using energy method, we establish some regularity criteria of the solutions for the axisymmetric solutions of the three dimensional incompressible MHD system.

  • Keywords

Axisymmetric solutions, Regularity criterion, Incompressible magnetohydrodynamics.

  • AMS Subject Headings

35B65, 35B07, 35Q35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-3-577, author = {Liu , Xuemeng}, title = {Regularity Criteria of the Solutions to Axisymmetric Magnetohydrodynamic System}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {3}, number = {4}, pages = {577--601}, abstract = {

In this paper, we consider Cauchy problem of the axially symmetric Magnetohydrodynamic (MHD) system. By using energy method, we establish some regularity criteria of the solutions for the axisymmetric solutions of the three dimensional incompressible MHD system.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2021.577}, url = {http://global-sci.org/intro/article_detail/jnma/20685.html} }
TY - JOUR T1 - Regularity Criteria of the Solutions to Axisymmetric Magnetohydrodynamic System AU - Liu , Xuemeng JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 577 EP - 601 PY - 2022 DA - 2022/06 SN - 3 DO - http://doi.org/10.12150/jnma.2021.577 UR - https://global-sci.org/intro/article_detail/jnma/20685.html KW - Axisymmetric solutions, Regularity criterion, Incompressible magnetohydrodynamics. AB -

In this paper, we consider Cauchy problem of the axially symmetric Magnetohydrodynamic (MHD) system. By using energy method, we establish some regularity criteria of the solutions for the axisymmetric solutions of the three dimensional incompressible MHD system.

Xuemeng Liu. (2022). Regularity Criteria of the Solutions to Axisymmetric Magnetohydrodynamic System. Journal of Nonlinear Modeling and Analysis. 3 (4). 577-601. doi:10.12150/jnma.2021.577
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