the complete 3d nonlinear dynamic problem of extensible, flexible risers conveying fluid is considered. for describing the dynamics of the system, the newtonian derivation procedure is followed. the velocity field inside the pipe formulated using hydrostatic and bernoulli equations. the hydrodynamic effects of external fluids are taken into consideration through the nonlinear drag forces in var...

Electron spin transport in a disordered ferromagnetic metal is theoretically studied from the hydrodynamic viewpoint, focusing on role of electron vorticity. The spin-resolved momentum flux density electrons calculated microscopically, taking account spin-orbit interaction and uniform magnetization, expression for motive force obtained as linear response to driving electric field. It shown that...

Hydrodynamic type systems are systems of quasilinear equations of the first order. They naturally arise in continuum mechanics but also occur as a result of semi-classical approximations of nonlinear dispersive waves. The mathematical theory of one-dimensional hyperbolic quasilinear equations initiated by B. Riemann in XIX century has been developed into a rich and diverse area of applied mathe...