β Scribed by A.M Ter-Krikorov
No coin nor oath required. For personal study only.
A fourth-order linear partial differential equation is derived to describe axisymmetric oscillations of an ideal incompressible stratified fluid in a gravitational force field. Potential vortices and mass sources are distributed along the axis of symmetry. A class of steady solutions, which depend on three real parameters, is constructed in the linear approximation. The asymptotic behaviour of these solutions at short and long distances from the axis of symmetry is investigated.
π SIMILAR VOLUMES
A method for obtaining numerical solutions of the nonlinear eigenvalue problem c(e) e-X~><(v Xe)=O is described. The nonlinearity is due to the ponderomotive force exerted by the wave on a plasma, which modifies the densities. A centred finite-difference scheme is used, which avoids spectra pollutio
The dynamics of a deformable body in an unbounded volume of an ideal fluid, which performs irrotational motion and is at rest at infinity, is investigated. It is assumed that a change in the geometry of the masses and shape of the body occurs due to the action of internal forces and that the displac