|DATE||July 13 (Fri), 2018|
|TITLE||On the Type I singularity for the Euler equations|
|ABSTRACT||The scenario of Type I singularity is a natural generalization of the self-similar or discretely self-similar singularities. Studying the problem of Type I singularities would be eventually helpful for future understanding of the possible singularities in the Euler system. In this talk, after short review of the studies of the self-similar solutions we survey recent works on scenario of the Type I blow-up. By applying the local analysis methods, which have been useful in the elliptic or parabolic regularity theories, we could make some progresses in our study of the Type I blow-up in the Euler equations.
The project is jointly done with J. Wolf.