Two-dimensional nonstationary flow of a slightly conducting liquid close to the critical point in a magnetic field

D. V. Sharikadze

Abstract
The most general case of two-dimensional nonstationary flow of a slightly conducting liquid close to the critical point in a magnetic field is investigated by the method of fundamental solutions and integral equations. The solutions of the corresponding homogeneous problem and Green's function are constructed in explicit form, and the solution of the problem is reduced to the solution of a Volterra-typeintegral equation of the second kind, which is solved by successive approximations. The sufficient condition for the convergence of these functional series is obtained. It is shown that the application of a magnetic field to a two-dimensional flow hinders the motion of the liquid perpendicular to the lines of force, and the manner in which this obstruction increases is investigated.