Strong continuity for the 2D Euler equations


We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution. The second result provides uniform continuity and is restricted to H¨older continuous solutions.

In American Institute of Mathematical Sciences
Elizaveta Semenova
Elizaveta Semenova
Postdoctoral Research Associate

My research interests include Bayesian inference, spatial statistics and epidemiology.