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Some thoughts on the role of the convection terms in the fluid mechanical PDEs.

Presented by: 
Hisashi Okamoto Gakushuin University
Date: 
Monday 7th August 2017 - 14:30 to 15:30
Venue: 
INI Seminar Room 1
Abstract: 
Nonlinear PDEs appearing in fluid mechanics often have a convection term, whose role is not well-understood in my viewpoint. I want to state some problems which I cannot answer and wish to usher in young people who may solve them. A key theme is that the convection term prevents the solution from blowing-up. I want to demonstrate this `proposition' by examples.  
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons