WELL-POSEDNESS OF THE MHD BOUNDARY LAYER SYSTEM IN GEVREY FUNCTION SPACE WITHOUT STRUCTURAL ASSUMPTION
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 3236-3264 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 53 |
| Issue number | 3 |
| Online published | 10 Jun 2021 |
| Publication status | Published - 2021 |
Link(s)
| DOI | DOI |
|---|---|
| Attachment(s) | Documents
Publisher's Copyright Statement
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85108698735&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(e2bcb8a6-ec4a-4022-80a0-89e60e933561).html |
Abstract
We establish the well-posedness of the MHD boundary layer system in Gevrey function space without any structural assumption. Compared to the classical Prandtl equation, the loss of tangential derivative comes from both the velocity and magnetic fields that are coupled with each other. By observing a new type of cancellation mechanism in the system for overcoming the loss derivative degeneracy, we show that the MHD boundary layer system is well-posed with Gevrey index up to 3/2 in both two- and three-dimensional spaces.
Research Area(s)
- Cancellation, Gevrey class, MHD boundary layer, Nonstructural assumption, Well-posedness theory
Citation Format(s)
WELL-POSEDNESS OF THE MHD BOUNDARY LAYER SYSTEM IN GEVREY FUNCTION SPACE WITHOUT STRUCTURAL ASSUMPTION. / LI, Wei-Xi; YANG, Tong.
In: SIAM Journal on Mathematical Analysis, Vol. 53, No. 3, 2021, p. 3236-3264.
In: SIAM Journal on Mathematical Analysis, Vol. 53, No. 3, 2021, p. 3236-3264.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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