Solving Problems in Multiply Connected Domains

Solving Problems in Multiply Connected Domains
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解决多重连通域中的问题

DOI:
10.1137/1.9781611976151
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发表时间:
2020
期刊:
Journal of Oral and Maxillofacial Pathology : JOMFP
影响因子:
--
通讯作者:
D. Crowdy
D. Crowdy
中科院分区:
--
文献类型:
--
作者:
D. Crowdy

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当两个或两个以上的物体或实体,无论它们是气泡、漩涡、黑洞、磁铁、胶体粒子、微生物、游动细菌、布朗随机游走者、机翼、涡轮机叶片、带电液滴、磁化粒子、位错、裂缝或弹性固体中的不均匀性,在某种环境介质中相互作用时,这些物体或实体在该介质中形成“孔”。至少,数学家是这么看的,他们把包含一系列相互作用的实体的多孔区域称为多重连接。
Whenever two or more objects, or entities, be they bubbles, vortices, black holes, magnets, colloidal particles, microorganisms, swimming bacteria, Brownian random walkers, airfoils, turbine blades, electrified drops, magnetized particles, dislocations, cracks, or heterogeneities in an elastic solid, interact in some ambient medium, those objects or entities make “holes” in that medium. At least, that is how a mathematician would see it. Mathematicians call the holey regions containing a collection of interacting entities multiply connected.