A system of equations of the two-velocity hydrodynamics without pressure
Ulugbek Turdiyev)Tashkent University of Information Technologies Karshi branch, UzbekistanKholmatzhon Imomnazarov)Institute of Computational Mathematics and Mathematical Geophysics, SA RAS, Russia
ABI
Abstract
We have obtained systems of equations of the Burgers and the Hopf types from the system of non-stationary equations of the two-velocity hydrodynamics. Account must be taken of the fact that the energy dissipation occurs due to the viscosities of subsystems and the coefficient of inter-component friction. For a Hopf-type model, the analysis of the system of differential equations reduces in the form of traveling waves to solving a system of nonlinear ordinary differential equations. The effect of the kinetic coefficients on the propagation of nonlinear waves is clarified.