Geodesic
System of equations for the Marangoni boundary layer in media with Ladyzhenskaya rheological law
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 498 (2021), pp. 41-44

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A system of equations describing boundary layers of nonlinear generalized Newtonian viscous fluids with the Ladyzhenskaya rheological law is studied. The well-posedness of the stated problem is proved by applying the von Mises transformation method, which transforms the system of boundary layer equations into a quasilinear degenerate parabolic equation.
Keywords: von Mises transformation, Marangoni boundary layer, rheology, non-Newtonian media. 
@article{DANMA_2021_498_a7,
     author = {M. A. Kisatov},
     title = {System of equations for the {Marangoni} boundary layer in media with {Ladyzhenskaya} rheological law},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {41--44},
     publisher = {mathdoc},
     volume = {498},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_498_a7/}
}
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M. A. Kisatov. System of equations for the Marangoni boundary layer in media with Ladyzhenskaya rheological law. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 498 (2021), pp. 41-44. http://geodesic.mathdoc.fr/item/DANMA_2021_498_a7/