global-journal-of-science-frontier-research-f-mathematics-decision Global Journal of Science Frontier Research - F: Mathematics & Decision 0975-5896 2249-4626 Global Journals Publishing Group Incorporated 73918 GLOBAL DYNAMICS OF CLASSICAL SOLUTIONS TO A MODEL OF MIXING FLOW ZHAODr. KUN UNITED STATES, University of Iowa 19 02 2012 12 F2 23 42

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.

 Mixing Flow Classical Solution Large-Time Asymptotic Behavior. Full Text

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.