Sh. Sakhaev, V. A. Solonnikov, “On some stationary problems of magnetohydrodynamics in multi-connected domains”, Zap. Nauchn. Sem. POMI, 2011, Volume 397,Pages <nobr>126

This article is cited in 7 papers

On some stationary problems of magnetohydrodynamics in multi-connected domains

Sh. Sakhaev^a, V. A. Solonnikov^b

^a Al-Farabi Kazakh National University, Almaty, Kazakhstan
^b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: We prove maximal regularity estimates in the Sobolev spaces $W^2_p$ and in the Hölder spaces $C^{2+\alpha}$ for weak solutions of stationary problems of magnetohydrodynamics. We give precise formulation of these problems in multi-connected domains.

Key words and phrases: magnetohydrodynamics, maximal regularity, Sobolev and Hölder spaces.

UDC: 517

Received: 19.10.2011