GLOBAL-IN-TIME STABILITY OF 2D MHD BOUNDARY LAYER IN THE PRANDTL-HARTMANN REGIME
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 5749-5760 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 50 |
| Issue number | 6 |
| Online published | 6 Nov 2018 |
| Publication status | Published - 2018 |
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| DOI | DOI |
|---|---|
| Attachment(s) | Documents
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85060551011&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(56bc9b20-f641-4300-a0d9-68a0e8672192).html |
Abstract
In this paper, we prove the global existence of solutions with analytic regularity to the 2D magnetohydrodynamic (MHD) boundary layer equations in the mixed Prandtl and Hartmann regime derived by formal multiscale expansion in [D. Gerard-Varet and M. Prestipino, Z. Angew. Math. Phys., 68 (2017), 76]. The analysis shows that the combined effect of the magnetic diffusivity and transverse magnetic field on the boundary leads to a linear damping on the tangential velocity field near the boundary. And this damping effect yields the global-in-time analytic norm estimate in the tangential space variable on the perturbation of the classical steady Hartmann profile.
Research Area(s)
- MHD boundary layer, Prandtl-Hartmann regime, global stability, analytic regularity, NAVIER-STOKES EQUATION, ZERO VISCOSITY LIMIT, WELL-POSEDNESS, ILL-POSEDNESS, ANALYTIC SOLUTIONS, MAGNETIC-FIELD, HALF-SPACE, EXISTENCE, SYSTEM, EULER
Citation Format(s)
GLOBAL-IN-TIME STABILITY OF 2D MHD BOUNDARY LAYER IN THE PRANDTL-HARTMANN REGIME. / XIE, Feng; YANG, Tong.
In: SIAM Journal on Mathematical Analysis, Vol. 50, No. 6, 2018, p. 5749-5760.
In: SIAM Journal on Mathematical Analysis, Vol. 50, No. 6, 2018, p. 5749-5760.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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