一类具有热对流作用的非牛顿微极流体方程组的强解

Strong solutions for a class of non-Newtonian micropolar fluid equations with heat convection

考虑在三维光滑有界区域Ω中一类具有热对流作用的稳态非牛顿微极流体方程组的第一边值问题。讨论了在外力项和涡旋粘性系数适当小的条件下,该问题的强解的存在唯一性。

In the three-dimensional smooth and bounded domain Ω, the first boundary value problem for a class of steady non-Newtonian micropolar fluid equations with thermal convection is considered. Under the conditions that the external force term and the vortex viscosity coefficient are appropriately small, the existence and uniqueness of the strong solutions of this problem are achieved.