Transient Phenomena of Inviscid Accretion Gasradiation Slim Disc in A Gravitational Potential after Adiabatic Perturbations of the Velocities

The formalisms for the analysis of the dynamics of slim inviscid accretion discs in a (also, non-Newtonian) gravitational potential are here developped; the role of the horizontal pressure and that of the entropy gradients are to be characterised. The adiabatic perturbations of the velocity are studied: the paradigms of the Lagrangian perturbations of the velocity are implemented. The perturbations of the slim disc is studied in the Lagrangean formalism of adiabatic perturbations of the velocities. The new conditions on the Eulerian variation of the gravitational potential are outlined. The equations of the transient phenomena are written.