Some preliminary observations on a defect Navier–Stokes system

Some preliminary observations on a defect Navier–Stokes system
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对有缺陷的纳维-斯托克斯系统的一些初步观察

DOI:
10.1016/j.crme.2019.09.004
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发表时间:
2019
期刊:
Comptes Rendus Mécanique
影响因子:
--
通讯作者:
R. Fosdick
R. Fosdick
中科院分区:
--
文献类型:
--
作者:
A. Acharya;R. Fosdick

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这篇简短说明的目的是探讨违反线弹性理论中的圣维南相容条件(导致缺陷弹性理论[1])与经典流体力学中不相容的对应表达(体现在纳维-斯托克斯方程中)之间的联系。假设了修改后的“缺陷纳维-斯托克斯”模型,并对其影响进行了一些初步观察。主要目的是促进对高雷诺数流动感兴趣的流体力学专家和从事与位错-向错动力学相关的缺陷理论的固体力学专家之间的合作交流。
The objective of this brief note is to explore the connections between the violation of the Saint-Venant compatibility conditions in the theory of linear elasticity, leading to the elastic theory of defects [1], and its counterpart expression of incompatibility in classical fluid mechanics, embodied in the Navier–Stokes equations. A modified ‘defect Navier–Stokes’ model is postulated and some preliminary observations on its implications are made. A main purpose is to stimulate a cooperative exchange between fluid mechanists who are interested in high-Reynolds-number flows and solid mechanists who are engaged in defect theory related to dislocation–disclination dynamics.
DOI: 10.4007/annals.2019.189.1.3
发表时间: 2019-01-01
影响因子: 4.9
作者:
Buckmaster, Tristan;Vicol, Vlad
通讯作者: Vicol, Vlad