On attractors of MHD boundary layer of liquid with Ladyzhenskaya rheological law. Inuence of magnetic field on velocity asymptotics

V. N. Samokhin   ; G. A. Chechkin

Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 51, Tome 536 (2024), pp. 286-335

Résumé

In the paper it considers the boundary layer of a rheologically complex magnetohydrodynamic medium obeying the law of O. A. Ladyzhenskaya. Using the Crocco change of variables, the original problem is reduced to a problem for one nonlinear equation, for which the theorem of existence and uniqueness of the solution is proved. After that, the validity of similar theorems for the original problem is shown. Then, asymptotics of solutions of the original problem in the neighborhood of the initial point are constructed.

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