THE GENERALIZED LIAPUNOV STABILITY FOR ATMOSPHERIC SYSTEMS

The stability theory that describes the local stability of atmospheric systems is set up by the generalized Liapunovian second method on the basis of the nonequilibrium statistical physics. A combined hydro-thermodynamic stability criterion for the atmosphere is derived in light of the constructed generalized Liapunov functional which is suitable to describing the atmospheric system defined by the system of partial differential equations, and the concept and criterion of the hydro-thermodynamic stability are first introduced into the atmospheric thermodynamics, thus many ways of atmospheric motions with the background of macroscopic thermodynamics are explained.