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J. Phys. Soc. Jpn. 74 (2005) pp. 2737-2742  |Next Article|  |Table of Contents|
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On the Role of the Convection Term in the Equations of Motion of Incompressible Fluid

Hisashi Okamoto and Koji Ohkitani

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502

(Received May 16, 2005; Accepted August 4, 2005)

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. ©2005 The Physical Society of Japan

KEYWORDS: Navier–Stokes equations, blow-up
URL: http://jpsj.ipap.jp/link?JPSJ/74/2737/
DOI: 10.1143/JPSJ.74.2737


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