COMPLETENESS OF THE FLOQUET SOLUTIONS TO THE PROBLEM OF A SOLID OSCILLATING IN A FLUID

Guda A

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COMPLETENESS OF THE FLOQUET SOLUTIONS TO THE PROBLEM OF A SOLID OSCILLATING IN A FLUID

机译：流体解决方案对流体中固体振荡问题的完全性

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摘要

We prove the completeness of the Floquet solutions to the parabolic equation describing small oscillations of a fluid-solid system. The symmetry axis of the solid is fixed inside a container of an arbitrary shape which is filled with an incompressible viscous fluid. The solid oscillates torsionally under the action of an elastic force with time periodic rigidity.

机译：我们证明了描述流体-固体系统小振动的抛物线方程的Floquet解的完整性。固体的对称轴固定在填充有不可压缩粘性流体的任意形状的容器内。固体在具有时间周期刚度的弹力的作用下扭转振动。

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来源
《Siberian Mathematical Journal》 |2009年第3期|共10页
作者
Guda A;
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正文语种 eng
中图分类数学;
关键词
completeness of Floquet solutions; motion of a solid in a viscous fluid;

机译：Floquet解决方案的完整性;粘性流体中固体的运动;

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1. COMPLETENESS OF THE FLOQUET SOLUTIONS TO THE PROBLEM OF A SOLID OSCILLATING IN A FLUID [J] . Guda A Siberian Mathematical Journal . 2009,第3期

机译：流体解决方案对流体中固体振荡问题的完全性
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COMPLETENESS OF THE FLOQUET SOLUTIONS TO THE PROBLEM OF A SOLID OSCILLATING IN A FLUID

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