TY - JOUR
T1 - (N - 1) velocity components condition for the generalized mhd system in n-dimension
AU - Yamazaki, Kazuo
N1 - Publisher Copyright:
© American Institute of Mathematical Sciences.
PY - 2014
Y1 - 2014
N2 - We study the magnetohydrodynamics system, generalized via a fractional Laplacian. When the domain is in N-dimension, N being three, four or ve, we show that the regularity criteria of its solution pair may be reduced to (N - 1) many velocity eld components with the improved integrability condition in comparison to the result in [29]. Furthermore, we extend this result to the three-dimensional magneto-micropolar fluid system.
AB - We study the magnetohydrodynamics system, generalized via a fractional Laplacian. When the domain is in N-dimension, N being three, four or ve, we show that the regularity criteria of its solution pair may be reduced to (N - 1) many velocity eld components with the improved integrability condition in comparison to the result in [29]. Furthermore, we extend this result to the three-dimensional magneto-micropolar fluid system.
KW - Fractional laplacians
KW - Magneto-micropolar fluid system
KW - Magnetohydrodynamics system
KW - Navier-stokes equations
UR - http://www.scopus.com/inward/record.url?scp=84911373067&partnerID=8YFLogxK
U2 - 10.3934/krm.2014.7.779
DO - 10.3934/krm.2014.7.779
M3 - Article
AN - SCOPUS:84911373067
SN - 1937-5093
VL - 7
SP - 779
EP - 792
JO - Kinetic and Related Models
JF - Kinetic and Related Models
IS - 4
ER -