On Parker instability under L2-norm

We mathematically investigate the Parker instability in the three-dimensional compressible isentropic viscous magnetohydrodynamic (MHD) fluid with zero resistivity in the presence of a modified gravitational force in a vertical strip domain in which the velocity of the fluid is non-slip on the bound...

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Bibliographic Details
Published inNonlinear analysis Vol. 192; p. 1
Main Authors Liu, Mengmeng, Song, Fangying, Wang, Weiwei
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.03.2020
Elsevier BV
Subjects
Bootstrap instability method
Compressibility
Computational fluid dynamics
Fluid flow
Magnetohydrodynamic fluid
Magnetohydrodynamics
Mathematical analysis
Parker instability
Stability
Vertical forces
Parker instability
Bootstrap instability method
Magnetohydrodynamic fluid
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Summary:We mathematically investigate the Parker instability in the three-dimensional compressible isentropic viscous magnetohydrodynamic (MHD) fluid with zero resistivity in the presence of a modified gravitational force in a vertical strip domain in which the velocity of the fluid is non-slip on the boundary. We prove the existence of Parker instability solutions in the sense of L2-norm in Lagrangian coordinates based on a classical bootstrap instability method with finer skills of energy estimates. By an inverse transformation of Lagrangian coordinates, we also get Parker instability solutions in L2-norm in Eulerian coordinates.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2019.111697