Event Detail

Event Type: 
Analysis Seminar
Date/Time: 
Monday, October 14, 2019 - 12:00 to 12:50
Location: 
STAG111

Speaker Info

Local Speaker: 
Abstract: 

The theory of cascade solutions to the Navier-Stokes equations was introduced by Le Jan and Sznitman and later elaborated by Bhattacharya et al. They relied on a pointwise smallness condition of the initial data in the Fourier domain to construct cascade solutions from a branching process. We show how smallness of initial data in some global sense can be sufficient to define cascade solutions. We also show a connection between cascade solutions and mild solutions constructed by fixed point method. Joint work with Enrique Thomann.