Articles with "layer equations" as a keyword



Local Well-posedness for Linearized Degenerate MHD Boundary Layer Equations in Analytic Setting

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Published in 2019 at "Acta Mathematica Sinica, English Series"

DOI: 10.1007/s10114-019-8067-4

Abstract: In this note we derive MHD boundary layer equations according to viscosity and resistivity coefficients. Especially, when these viscosity and resistivity coefficients are of different orders, it leads to degenerate MHD boundary layer equations. We… read more here.

Keywords: mhd boundary; boundary layer; degenerate mhd; layer equations ... See more keywords

Global well-posedness of the MHD boundary layer equations in the Sobolev space

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Published in 2024 at "Science China Mathematics"

DOI: 10.1007/s11425-025-2456-6

Abstract: We study the two-dimensional MHD boundary layer equations. For small perturbation around a tangential background magnetic field, we obtain the global-in-time existence and uniqueness of solutions in Sobolev spaces. The proof relies on the novel… read more here.

Keywords: well posedness; boundary layer; mhd boundary; layer equations ... See more keywords

Analytical and computational results for boundary-layer equations in porous medium

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Published in 2023 at "Thermal Science"

DOI: 10.2298/tsci23s1163a

Abstract: The aim of this paper is to determine analytic solutions to the steady/unsteady 2-D flows of a Newtonian fluid passing through a porous media. Using the stream function, the analytical general solutions of the non-linear… read more here.

Keywords: computational results; boundary layer; analytical computational; results boundary ... See more keywords