二维趋化N-S方程解的唯一性准则

Uniqueness Criterion for Two-Dimensional Chemotactic N-S Equation

本文研究一类二维趋化N-S方程解的唯一性问题.利用Littlewood-Paley理论和Besov空间理论以及做差法,获得这一类二维趋化N-S方程弱解唯一性的唯一性准则.

This paper studies the uniqueness of solution to a class of two-dimensional chemotactic N-S equations.By using the Littlewood-Paley theory,the Besov space theory and the difference method,the uniqueness criterion for the uniqueness of the weak solution of this class of two-dimensional chemotactic N-S equations is obtained.