TY - JOUR
T1 - JUSTIFICATION OF PRANDTL ANSATZ FOR MHD BOUNDARY LAYER
AU - LIU, Cheng-Jie
AU - XIE, Feng
AU - YANG, Tong
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - MHD boundary layer
KW - high Reynolds numbers limit
KW - Prandtl boundary layer expansion
KW - L-infinity estimate
KW - GLOBAL SMALL SOLUTIONS
KW - NAVIER-STOKES EQUATION
KW - ZERO VISCOSITY LIMIT
KW - WELL-POSEDNESS
KW - ILL-POSEDNESS
KW - ANALYTIC SOLUTIONS
KW - SOBOLEV SPACES
KW - HALF-SPACE
KW - EXISTENCE
KW - SYSTEM
UR - http://www.scopus.com/inward/record.url?scp=85069156824&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85069156824&origin=recordpage
U2 - 10.1137/18M1219618
DO - 10.1137/18M1219618
M3 - 21_Publication in refereed journal
VL - 51
SP - 2748
EP - 2791
JO - SIAM Journal on Mathematical Analysis
JF - SIAM Journal on Mathematical Analysis
SN - 0036-1410
IS - 3
ER -