Amna Mohammed Osman Elzebair2018-09-202018-09-202011http://hdl.handle.net/123456789/12783This work is a discussion of some of the fundamental ideas involved in current work on the nonlinear theory of hydrodynamic stability. It also describes the hydrodynamic stability of nonlinear waves , the logistic equation in the theory of population growth, bifurcation theory, structural stability, energy method and maximum and minimum energy in vortex motion. The work also suggests a thermal stability, convective stability, based on the equations of motion and particular stability characteristics.enHydrodynamicsStabilityThesis