关键词: 非牛顿流, Boussinesq方程, 正则解, 存在唯一性 

Abstract: We considered the first boundary value problems for a class of steadystate incompressible nonNewtonian Boussinesq equations in a threedimensional smooth bounded domain Ω. Under the conditions that the external force term was appropriately small, we proved the existence and uniqueness of regular solutions for the problem when the exponent p∈(1,2) by using the iterative method.

Key words: nonNewtonian fluid, Boussinesq equation, regular solution, existence and uniqueness