GLOBAL DYNAMICS OF CLASSICAL SOLUTIONS TO A MODEL OF MIXING FLOW

Dr. KUN ZHAO

Volume 12 Issue 2

Global Journal of Science Frontier Researc

We study the long-time dynamics of classical solutions to an initial-boundary value problem for modeling equations of a two-component mixture. Time asymptotically, it is shown that classical solutions converge exponentially to constant equilibrium states as time goes to infinity for large initial data, due to diffusion and boundary effects.