JUSTIFICATION OF PRANDTL ANSATZ FOR MHD BOUNDARY LAYER
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) | 2748-2791 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 51 |
| Issue number | 3 |
| Online published | 27 Jun 2019 |
| Publication status | Published - 2019 |
Link(s)
Abstract
The paper aims to justify the high Reynolds numbers limit for the magnetohydrodynamics system with Prandtl boundary layer expansion when no-slip boundary condition is imposed on a velocity field and perfectly conducting wall condition on a magnetic field. Under the assumption that the viscosity and resistivity coefficients are of the same order and the initial tangential magnetic field on the boundary is not degenerate, we justify the validity of the Prandtl boundary layer expansion and give an L∞ estimate on the error by multiscale analysis.
Research Area(s)
- MHD boundary layer, high Reynolds numbers limit, Prandtl boundary layer expansion, L-infinity estimate, GLOBAL SMALL SOLUTIONS, NAVIER-STOKES EQUATION, ZERO VISCOSITY LIMIT, WELL-POSEDNESS, ILL-POSEDNESS, ANALYTIC SOLUTIONS, SOBOLEV SPACES, HALF-SPACE, EXISTENCE, SYSTEM
Citation Format(s)
JUSTIFICATION OF PRANDTL ANSATZ FOR MHD BOUNDARY LAYER. / LIU, Cheng-Jie; XIE, Feng; YANG, Tong.
In: SIAM Journal on Mathematical Analysis, Vol. 51, No. 3, 2019, p. 2748-2791.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
