Local well-posedness for boundary layer equations of Euler-Voigt equations in analytic setting

2022 ◽  
Vol 307 ◽  
pp. 1-28
Author(s):  
Aibin Zang
Keyword(s):  
Boundary Layer ◽  
Well Posedness ◽  
Boundary Layer Equations

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 Well-Posedness of the Boundary Layer Equations

2003 ◽  
Vol 35 (4) ◽  
pp. 987-1004 ◽  
Author(s):  
Maria Carmela Lombardo ◽  
Marco Cannone ◽  
Marco Sammartino
Keyword(s):  
Boundary Layer ◽  
Well Posedness ◽  
Boundary Layer Equations
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