Global Well-Posedness of a Prandtl Model from MHD in Gevrey Function Spaces
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 2343–2366 |
| Journal / Publication | Acta Mathematica Scientia |
| Volume | 42 |
| Issue number | 6 |
| Online published | 3 Sept 2022 |
| Publication status | Published - Nov 2022 |
Link(s)
Abstract
We consider a Prandtl model derived from MHD in the Prandtl-Hartmann regime that has a damping term due to the effect of the Hartmann boundary layer. A global-in-time well-posedness is obtained in the Gevrey function space with the optimal index 2. The proof is based on a cancellation mechanism through some auxiliary functions from the study of the Prandtl equation and an observation about the structure of the loss of one order tangential derivatives through twice operations of the Prandtl operator.
Research Area(s)
- 35M33, 35Q35, 76W05, auxiliary functions, Gevrey function space, global well-posedness, loss of derivative, magnetic Prandtl equation
Citation Format(s)
Global Well-Posedness of a Prandtl Model from MHD in Gevrey Function Spaces. / Li, Weixi; Xu, Rui; Yang, Tong.
In: Acta Mathematica Scientia, Vol. 42, No. 6, 11.2022, p. 2343–2366.
In: Acta Mathematica Scientia, Vol. 42, No. 6, 11.2022, p. 2343–2366.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
