Abstract

Under consideration is some mathematical model describing magnetohydrodynamic motion of viscoelastic polymeric fluid in the cylindrical near-axial zone of a swirl chamber. The absence of steady-state solutions is proved for the cylindrical zone with a fixed lateral boundary. The solutions are also considered in the case of near-axial zone with a free lateral boundary.

中文翻译：

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不可压缩聚合物流体的磁流体动力学涡旋运动

摘要

考虑中的是一些数学模型，该模型描述了在旋流室的圆柱形近轴区域中粘弹性聚合物流体的磁流体动力学运动。对于具有固定横向边界的圆柱区域，没有稳态解被证明。在具有自由横向边界的近轴区域的情况下，也要考虑解决方案。