Study On N Dimensional Two Component Drift Model

This paper studies the solution's asymptotic properties of two-component drift diffusion model in two-dimensional and n-dimensional space.The main method of the research is analoging the properties in the two-dimensional space,and then extends in the n-dimensional space of solutions of the model.In two-dimensional space,when the two components of initial quality satisfy certain conditions,two-component drift diffusion model of corresponding equations will exist.The blow-up solution is mainly used to derive the fundamental solution of the knowledge in the two-dimensional space.Similarly,the existence of self similar solutions,is obtained when the initial data satisfy what when the form of self similar solutions and self-similar solutions.The research is mainly using self similar process to partial differential equations into ordinary differential equation method and simple solution.In n-dimensional space,analogy method in two dimensional space that exists when the initial quality of the two components should respectively meet what conditions,of which the most important is the fundamental solution in n-dimensional space,resulting in n-dimensional space properties blowup.Secondly,the study on self-similar solutions of n-dimensional space is mainly the equation into ordinary differential equations in n-dimensional space under cylindrical coordinate changes in n-dimensional space one of the most critical in the process of self similarity.Thus we get the similar properties of self similar solutions.