Date/Time Date(s) - 23/02/202611:30 am - 12:30 pm
Speaker: Mimi Dai (University of Illinois, Chicago)
Location: Hamilton Hall, Room 312
Title: Instantaneous blowup for the Navier-Stokes equation
Abstract: The quest of blowup solutions to the NSE remains a challenging topic. We will discuss a recent construction that illustrates a blowup phenomenon unexplored previously for the NSE. In particular, the constructed solutions start from smooth initial data and exhibit an instantaneous blowup saturating Type-I blowup rate at a finite time. Moreover, there are infinitely many such blowup solutions; and the non-uniqueness occurs in borderline spaces of known criteria which ensure uniqueness. This is joint work with Alexey Cheskidov and Stan Palasek.