Sh. Sakhaev, “Estimates of a single problem of electrodynamics arising in magnetic hydrodynamics in space <nobr>$W_{p}^{2,1} (Q_{T} ), p>1$</nobr>”, Sib. Èlektron. Mat. Izv., 2020, Volume 17,Pages <nobr>1787

Differentical equations, dynamical systems and optimal control

Estimates of a single problem of electrodynamics arising in magnetic hydrodynamics in space $W_{p}^{2,1} (Q_{T} ), p>1$

Sh. Sakhaev

Al-Farabi Kazakh National University, 71, Al-Farabi ave., Almaty, 050040, Kazakhstan

Abstract: In this paper, unique solvability is obtained and estimates of solutions to the problem of magnetic hydrodynamics are obtained.

Keywords: boundary value problem, magnetic hydrodynamics, Hölder conditions, Volterra–Fredholm type, heat equation.

UDC: 517.956

MSC: 35R30, 35K55

Received August 21, 2020, published October 28, 2020

Language: English

DOI: 10.33048/semi.2020.17.121