Seminars and colloquia

E.g., Apr 25, 2025

Misha Chernobai


On problems of regularity and existence for critical drift elliptic equations and systems

May 6, 2025 - 10:30 am to 11:30 am

MATH 105

We prove the existence, uniqueness and regularity of weak solutions to the Dirichlet problem for an elliptic equation with a drift b and related result for L^q gradient estimates for perturbed Stokes system. We assume b belongs to weak Morrey class which includes in the 3D ... Read more
  • Partial Differential Equations

Su Liang

UBC
Gradient estimates for Stokes equations near curved boundary

May 6, 2025 - 11:30 am to 12:30 pm

MATH 105

We show that the gradient of velocity is bounded in $L^q$ up to the boundary for weak solutions of Stokes equations with Navier BC and curved boundary, whose correctness has already been shown near the flat boundary by us in the previous work [CPAA 2024]. We also prove the ... Read more
  • Partial Differential Equations

Sheng-Hao Yang


Local Regularity in the Navier-Stokes Equations

May 6, 2025 - 3:00 pm to 4:00 pm

MATH 105

In this short talk, I will review several results on the local-in-space, short-time regularity of the Navier-Stokes equations with critical initial data. An application is the concentration behavior near potential blow-up points. Sheng Hao Yang is currently pursuing a PhD ... Read more
  • Partial Differential Equations

Xunzi Xie

UBC
Uniqueness of axisymmetric viscous flows originating from circular vortex filaments

May 6, 2025 - 4:00 pm to 5:00 pm

MATH 105

In this talk, we outline the existence and uniqueness of axisymmetric solution to the Navier Stokes equation with vortex filament initial data established by Gallay and Sverak. This work is connected to a recent important result by the same authors establishing long time ... Read more
  • Partial Differential Equations

Tai-Peng Tsai

UBC
Large discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field

May 6, 2025 - 5:00 pm to 6:00 pm

MATH 105

Discretely self-similar solutions to Oberbeck-Boussinesq system with Newtonian gravitational field for large discretely self-similar initial data are constructed in this note, extending the construction of Brandolese and Karch (arXiv:2311.01093) on self-similar solutions. It ... Read more
  • Partial Differential Equations