一类化学活性流体方程组解的存在唯一性  

Existence and Uniqueness of Solutions for a Class of Chemically Active Fluid Equations

作　　者：王长佳 苏日娜 

机构地区：[1]长春理工大学数学与统计学院,吉林 长春

出　　处：《应用数学进展》2024年第4期1292-1307,共16页Advances in Applied Mathematics

摘　　要：本文拟在三维光滑有界区域Ω中,考虑一类稳态非牛顿化学活性流体运动方程组的第一边值问题。在外力项某一范数适当小的条件下,用迭代方法证明了当指数时方程组正则解的存在唯一性。In this paper, we consider the first boundary value problem for a class of steady non-Newtonian chemically active fluid equations in a three-dimensional smooth bounded domain Ω. When exponent , the existence and uniqueness of the regular solutions for the problem was proved by iterative method under the condition that the norm of the external force term is properly small.

关 键 词：非牛顿流 化学活性流体 存在性 唯一性 

分 类 号：O17[理学—数学]