Mathematical analysis of the vorticity equations for viscous incompressible flows in the half plane
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- Maekawa Yasunori
- Kobe university
Bibliographic Information
- Other Title
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- ２次元半空間における渦度方程式の数学解析
Abstract
In this talk we consider viscous incompressible flows in the half plane equipped with the no-slip boundary conditions for velocity fileds. By using the Fourier-Laplace transform we derive the solution formula for the associated vorticity equations. Based on this solution formula we develop the mathematical theory on the solvability of the vorticity equations or on the behaviors of vorticity at the vanishing viscosity limit, where the high creation of vorticity occurs in the boundary layer.
Journal
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- NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
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NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 61 (0), 36-36, 2012
National Committee for IUTAM
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Keywords
Details 詳細情報について
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- CRID
- 1390001205593536896
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- NII Article ID
- 130005020747
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- Text Lang
- ja
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- Data Source
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- JaLC
- CiNii Articles
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- Abstract License Flag
- Disallowed