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Blow-up solutions of the Constantin-Lax-Majda equation with a generalized viscosity term

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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)

Submitter: 坂上 貴之

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