Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Monday, January 10, 2022 - 16:00 to 16:50
Location: 
Zoom

Speaker Info

Institution: 
University of Illinois Chicago
Abstract: 

We show the existence of determining wavenumber for the Naiver-Stokes equation in both 3D and 2D. Estimates on the determining wavenumber are established in term of the phenomenological Kolmogorov’s dissipation number (3D) and Kraichnan’s number (2D). The results rigorously justify the criticality of Kolmogorov’s dissipation number and Kraichnan’s number.