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Blow-up solutions of the Constantin-Lax-Majda equation with a generalized viscosity term
Title: | Blow-up solutions of the Constantin-Lax-Majda equation with a generalized viscosity term |
Authors: | Sakajo, Takashi1 Browse this author →KAKEN DB |
Authors(alt): | 坂上, 貴之1 |
Issue Date: | 2003 |
Publisher: | American Mathematical Society |
Journal Title: | J. Math. Sci. Univ. Tokyo |
Volume: | 10 |
Issue: | 1 |
Start Page: | 187 |
End Page: | 207 |
Abstract: | A generalized one-dimensional model for the three-dimensional vorticity equation of incompressible and viscous fluid is considered. Its viscosity term is given by an arbitrary order of derivative of the vorticity. A formal solution of the equation is given explicitly by using the spectral method. We investigate convergence of the solution and show that the solution blows up in finite time for sufficiently small viscosity coefficient regardless of the order of derivative of the viscosity term. |
Description: | “First published in J. Math. Sci. Univ. Tokyo
in 10-1, published by the American Mathematical Society” |
Relation: | http://journal.ms.u-tokyo.ac.jp/abstract/jms100107.html |
Type: | article (author version) |
URI: | http://hdl.handle.net/2115/5416 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 坂上 貴之
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