On the Role of the Convection Term in the Equations of Motion of Incompressible Fluid
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- Okamoto Hisashi
- Research Institute for Mathematical Sciences, Kyoto University
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- Ohkitani Koji
- Research Institute for Mathematical Sciences, Kyoto University
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Abstract
We consider the equations of motion of incompressible fluid. Several examples of blow-up for model equations are studied in order to suggest that the existence of the convection term plays a crucial role in the global existence of smooth solutions of some equations including the two-dimensional Euler equations. If we may say so, the convection term suppresses the blow-up of solutions.
Journal
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- Journal of the Physical Society of Japan
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Journal of the Physical Society of Japan 74 (10), 2737-2742, 2005
THE PHYSICAL SOCIETY OF JAPAN
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Details
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- CRID
- 1390282679165023360
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- NII Article ID
- 110002250644
- 210000105686
- 130004538982
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- NII Book ID
- AA00704814
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- BIBCODE
- 2005JPSJ...74.2737O
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- COI
- 1:CAS:528:DC%2BD2MXht12gsbzF
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- ISSN
- 13474073
- 00319015
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- NDL BIB ID
- 7476080
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed