
About the blowing up procedure as applied to a region near the possible point of singularity of a suitable weak solution to the NavierStokes equation (Joint with NCTS)
Speaker 
Professor Chi Hin Chan 
Affiliation 
Department of Applied Mathematics, NCTU 
Date 
20160429 
Time 
16:3018:30 
Venue 
SA212 
Abstract 
In this talk, we will discuss a standard blowing up procedure as applied to a spacetime region near a possible singular point of a suitable weak solution. Suppose that we have a singularity of a suitable weak solution at the origin of the spacetime, a blowing up procedure is essentially the same as the one which consists of a sequence of magnifications of the structure of the solution near the singular point at smaller and smaller temporalspatial scales shrinking down to 0. Each time, the magnification will be done by means of the natural scaling of the timedependent NavierStokes equation. The resulting product of this process of successive magnifications would yield a limiting profile which reflects the asymptotic structure of the singularity of the solution. We will see that the limiting profile would be special type of ancient bounded weak solution to the NavierStokes equation, which will be called ancient bounded mild solution. 



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