scholarly journals Long Time Well-Posedness of the MHD Boundary Layer Equation in Sobolev Space

2020 ◽  
Vol 36 (1) ◽  
pp. 1-18
Author(s):  
Dongxiang Chen
Keyword(s):  
Boundary Layer ◽  
Sobolev Space ◽  
Boundary Layer Equation ◽  
Well Posedness ◽  
Mhd Boundary Layer ◽  
Long Time

scholarly journals Local-in-time well-posedness for compressible MHD boundary layer

2019 ◽  
Vol 266 (6) ◽  
pp. 2978-3013 ◽  
Author(s):  
Yongting Huang ◽  
Cheng-Jie Liu ◽  
Tong Yang
Keyword(s):  
Boundary Layer ◽  
Well Posedness ◽  
Mhd Boundary Layer

scholarly journals Long time well-posedness of Prandtl equations in Sobolev space

2017 ◽  
Vol 263 (12) ◽  
pp. 8749-8803 ◽  
Author(s):  
Chao-Jiang Xu ◽  
Xu Zhang
Keyword(s):  
Sobolev Space ◽  
Well Posedness ◽  
Prandtl Equations ◽  
Long Time

scholarly journals Well-posedness in Sobolev spaces of the two-dimensional MHD boundary layer equations without viscosity

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Wei-Xi Li ◽  
Rui Xu
Keyword(s):  
Boundary Layer ◽  
Sobolev Spaces ◽  
Tangential Component ◽  
Well Posedness ◽  
Two Dimensional ◽  
Uniqueness Of Solutions ◽  
Layer System ◽  
Boundary Layer Equations ◽  
Mhd Boundary Layer ◽  
Liu Xie

<p style='text-indent:20px;'>We consider the two-dimensional MHD Boundary layer system without hydrodynamic viscosity, and establish the existence and uniqueness of solutions in Sobolev spaces under the assumption that the tangential component of magnetic fields dominates. This gives a complement to the previous works of Liu-Xie-Yang [Comm. Pure Appl. Math. 72 (2019)] and Liu-Wang-Xie-Yang [J. Funct. Anal. 279 (2020)], where the well-posedness theory was established for the MHD boundary layer systems with both viscosity and resistivity and with viscosity only, respectively. We use the pseudo-differential calculation, to overcome a new difficulty arising from the treatment of boundary integrals due to the absence of the diffusion property for the velocity.</p>

scholarly journals MHD Boundary Layer Flow in Double Stratification Medium

2021 ◽  
Vol 1770 (1) ◽  
pp. 012045
Author(s):  
Nur Suhaida Aznidar Ismail ◽  
Ahmad Sukri Abd Aziz ◽  
Mohd Rijal Ilias ◽  
Siti Khuzaimah Soid
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Double Stratification ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Mhd Boundary Layer Flow
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