Stability of axially-symmetric solutions to incompressible magnetohydrodynamics with no azimuthal velocity and with only azimuthal magnetic field

DOI10.3934/cpaa.2019070zbMath1414.35179OpenAlexW2901685953WikidataQ128827720 ScholiaQ128827720MaRDI QIDQ1733912

Wojciech M. Zajączkowski

Publication date: 21 March 2019

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2019070

zbMATH Keywords

stabilityspecial solutionsglobal regular solutions located in a small neighborhood of the special solutionsincompressible viscous axially-symmetric magnetohydrodynamics

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Strong solutions to PDEs (35D35) Axially symmetric solutions to PDEs (35B07)

Cites Work

• Stability of two-dimensional Navier-Stokes motions in the periodic case
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• Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
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