2012 Fiscal Year Final Research Report
Continuations of a Riemann surface and dynamics of viscos fluid --- study of conformal embeddings and associated Poiseuille flow
| Project/Area Number |
20540174
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Hiroshima University |
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Principal Investigator |
SHIBA Masakazu 広島大学, 大学院・工学研究院, 名誉教授 (70025469)
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| Co-Investigator(Kenkyū-buntansha) |
ITO Masaaki 広島大学, 大学院・工学研究院, 准教授 (10116535)
HATAYA Yasushi 山口大学, 大学院・理工学研究科, 助教 (20294621)
MAITANI Fumio 立命館大学, 情報理工学部, 講師 (10029340)
MAEKAWA Hiroshi 電気通信大学, 大学院・情報理工学研究科, 教授 (90145459)
MASUMOTO Makoto 山口大学, 大学院・理工学研究科, 教授 (50173761)
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| Project Period (FY) |
2008 – 2012
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| Keywords | リーマン面 / 接続 / 等角写像 / スパン / 流体力学 / 粘性流体 / ナヴィエ・ストークスの微分方程式 / ポアズイユ流 |
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| Research Abstract |
Along the study of conformal embedding of an open Riemann surface into a closed surface of the same genus we encountered with interesting fuctions on a closed disk. The functions are written in terms ofthe euclidean and hyperbolic (resp.spherical) metrics, in case of genus one (resp. zero). .In the present research project we studied these functions from the hydrodymanic viewpoint and showed that they represent Poiseuille flows. We also gave the viscosity in closed forms.
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Research Products
(55 results)
