Art

J-GLOBAL ID：200902294743245607   Reference number：09A0231024

Longtime Behavior of Solutions of Non-Autonomous Equations in Fluid Dynamics

流体力学の非自律方程式系の解の長時間挙動

Author (1)： OEDA Kazuo (Japan Women’s Univ., Tokyo)
Material： Theoretical and Applied Mechanics Japan  (Theor Appl Mech Jpn)
Volume： 57  Page： 309-322  Publication year： 2008 
JST Material Number： G0568B  ISSN： 1348-0693  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *fluid dynamics ,  *autonomous system ,  dynamic system ,  Navier-Stokes equation ,  two dimension ,  boundary ,  evolution equation ,  time dependence ,  *process ,  range ,  behavior ,  moving boundary ,  large time behavior
Semi thesaurus term： *拡張プロセス ,  拡張領域 ,  *非自律系

JST classification (1)： Fluid dynamics in general  (BC02010G)

Reference (12)：

• Chepyzhov, V. V. and Vishik M. I.: Non-autonomous Dynamical Systems and their Attractors (Cambridge University Press, 1992), Appendix in the book: M. I. Vishik, “Asymptotic Behavior of Solutions of Evolutionary Equations”.
• Chepyzhov, V. V. and Vishik M. I., “Non-autonomous evolution equations and their attra.ctor”, Russ. J. Math. Physics, 1(1993), No.2, pp. 165-190.
• Chepyzhov, V. V. and Vishik M. I., “A Hausdorff dimension estimate for kernel sections of nonautonomous evolution equations”, Indiana Univ. Math. J., 42(1993), No.3, pp. 1057-1076.
• Chepyzhov, V. V. and VishikM. I., “Attractors of non-autonomous dynamical systems and their dimension”, J. Math. Pares Appl, 73(1994), pp. 279-333.
• Courant, R. and Hilbert D.: Methods of Mathematical Physics,(Interscience Publishers, Inc., New York, 1953).

Terms in the title (5)： 流体力学 ,  自律 ,  方程式 ,  解 ,  長時間挙動