Partial Regularity to Navier-Stokes Equations

Professor Lihe Wang, PhD

Using an argument from integral to classical, we demonstrate that the solutions to the Navier-Stokes equations remain regular except on a set with a null Hausdorff  measure of dimension 1. The proof primarily relies on a new compactness lemma and the monotonicity property of harmonic functions. The combination of linear and nonlinear approximation schemes makes the proof clear and transparent.

To participate in this event virtually via Zoom, go to https://uiowa.zoom.us/j/99570315915.