Michail Viktorovich Norkin
Institute of Mathematics, Mechanics, and Computer Science named after of I.I. Vorovich
Research interests - interaction of solid bodies with liquid; cavitation; tasks of hydrodynamics of ideal liquid with free borders; the mixed tasks of mathematical physics and hydrodynamics. Most scientific papers devoted to the study of the problem of the separation of liquid particles from a solid surface by sharply unsteady interaction of solids with a liquid (impact, acceleration, braking). Effective analytical methods of the solution of flat and three-dimensional problems of hydrodynamic impact in the areas of a difficult geometric configuration are developed (both the continuous impact, and impact with a separation is studied). In particular, the direct asymptotic method based on the assumption that walls of the pool are removed from a floating body on long distances is offered. Application of a method of the nonlinear boundary integrated equations like Gammerstein to flat and spatial tasks of hydrodynamic impact with unknown a priori by areas of contact is this. The questions connected with cavitation (formation of cavities) at the initial stage of movement of a solid body in liquid are studied. In a task about detachable impact of the circular cylinder under the free surface of heavy liquid regular asymptotic decisions on small times taking into account dynamics of points of a separation of internal free border of liquid are constructed. It is shown that along with the zone of a separation caused by impact there can be additional cavitational zones caused by the law of movement of the cylinder after impact and physical parameters of a task.