Abstract

We prove the theorem of global existence of a weak solution to an one-dimensional initial-boundary value problem for the micropolar fluid equations under the condition of axial symmetry. The micropolar fluid model is a well-known generalization of the classical Navier–Stokes equations for the case when the rotation of the continuum particles is taken into account.

中文翻译：

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一维轴对称微极性流体方程的整体可解性

摘要

我们证明了在轴对称条件下微极性流体方程的一维初始边界值问题的弱解的整体存在性定理。对于考虑了连续粒子旋转的情况，微极性流体模型是经典Navier–Stokes方程的众所周知的概括。