Once more, Entropy as a Lyapunov Function

A simple example in fluid dynamics is presented to show the importantrole of the law of increase of entropy in the dynamics. in a stationary 3-d viscousflow with negligible thermal conduction, the lyapunov method is employed toobtain the fluid velocity without solving the equation of motion. this flow whichis given around the point of maximum entropy consists of some closed orbits lyingsimultaneously on both surfaces of constant entropy and spherical surfaces centeredat that point. also the flow near to this stable point must be incompressible and nonviscous.