Differential Equation Seminar

The Differential Equation Seminar, Fall 2026, is on Thursday 1-1:50, at Snow Hall 306. Here is the list of talks:

Sep 10:

Sep 17:

Sep 24:

Oct 1: Kazuo Yamazaki, University of Nebraska, Lincoln, 

Title: Three-dimensional Navier-Stokes equations with Lions' exponent forced by space-time white noise

Abstract: Space-time white noise is a random force that has been studied in mathematical physics for more than 80 years. The mathematical difficulty stems from its roughness that leads to the irregularity of the solution and ultimately the product within a nonlinear term become ill-defined; such stochastic PDEs are called singular SPDEs. Due to the breakthrough theories of regularity structures by Hairer and paracontrolled distributions by Gubinelli, Imkeller, and Perkowski, the local-in-time solution theories for singular SPDEs in low dimensions are now understood; however, global-in-time existence of unique solution to such singular SPDEs remains a challenging problem. In this talk, we describe the global-in-time existence of unique solution to the three-dimensional Navier-Stokes equations forced by space-time white noise under the hypothesis of energy-critical diffusion, i.e., a fractional Laplacian of order 5/4. 

Oct 8:

Oct 15: 

Oct 21 (Wednesday 2-3 Snow 306, joined with the CAM Seminar): Jiajie Chen, Chicago University.

Oct 29:

Nov 5:

Nov 12:

Nov 19:

Nov 26: Thanksgiving. No seminar.

Dec 3: