TY - JOUR
T1 - Global well-posedness of the 3D Boussinesq-MHD system without heat diffusion
AU - Liu, Huimin
AU - Bian, Dongfen
AU - Pu, Xueke
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019/6/1
Y1 - 2019/6/1
N2 - In this paper, we show the global existence and uniqueness of strong and smooth large solutions to the 3D Boussinesq-MHD system without heat diffusion. Since the temperature satisfies a transport equation, in order to get high regularity of temperature, we need to use the combination of estimates about velocity and magnetic field. Moreover, our system involves a nonlinear damping term in the momentum equations due to the Brinkman–Forchheimer–extended-Darcy law of flow in porous media.
AB - In this paper, we show the global existence and uniqueness of strong and smooth large solutions to the 3D Boussinesq-MHD system without heat diffusion. Since the temperature satisfies a transport equation, in order to get high regularity of temperature, we need to use the combination of estimates about velocity and magnetic field. Moreover, our system involves a nonlinear damping term in the momentum equations due to the Brinkman–Forchheimer–extended-Darcy law of flow in porous media.
KW - 3D Boussinesq-MHD system
KW - Global well-posedness
KW - Strong and smooth solution
UR - http://www.scopus.com/inward/record.url?scp=85065288177&partnerID=8YFLogxK
U2 - 10.1007/s00033-019-1126-y
DO - 10.1007/s00033-019-1126-y
M3 - Article
AN - SCOPUS:85065288177
SN - 0044-2275
VL - 70
JO - Zeitschrift fur Angewandte Mathematik und Physik
JF - Zeitschrift fur Angewandte Mathematik und Physik
IS - 3
M1 - 81
ER -