A Class of Simple Blow-Up Solutions with Uniform Vorticity to Three-Dimensional Euler Equations
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- Ohkitani Koji
- Research Institute for Mathematical Sciences, Kyoto University
書誌事項
- タイトル別名
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- Class of Simple Blow Up Solutions with
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説明
For a class of flows with uniform velocity gradients, the vorticity equation is reduced to an eigenvalue equation where vorticity serves as an eigenvector of the rate-of-strain tensor. This class includes a solution in which the strain is constant and the vorticity grows exponentially as exp (λt), with the initial eigenvalue λ(>0). A case of special interest is obtained when both the strain and the vorticity have the same time-dependence, that is, they blow up as (1−λt)−1 at a finite tame. The blow-up problem for passive scalar dynamics is also discussed.
収録刊行物
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- Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ
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Ｊｏｕｒｎａｌ ｏｆ ｔｈｅ Ｐｈｙｓｉｃａｌ Ｓｏｃｉｅｔｙ ｏｆ Ｊａｐａｎ 59 (11), 3811-3814, 1990
一般社団法人 日本物理学会
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詳細情報 詳細情報について
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- CRID
- 1390282679154848384
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- NII論文ID
- 210000095569
- 110001976853
- 130003740532
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- NII書誌ID
- AA00704814
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- BIBCODE
- 1990JPSJ...59.3811O
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- ISSN
- 13474073
- 00319015
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- MRID
- 1087699
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- NDL書誌ID
- 3688019
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 使用不可