Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 74, Issue 10, Pages 2737-2742Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.74.2737
Keywords
Navier-Stokes equations; blow-up
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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.
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