2022 UMN Summer Workshop on Analysis of PDEs
Advisory:
Note that the workshop is intended for graduate students and advanced undergraduates.
Organizers:
- Hao Jia, University of Minnesota, Twin Cities
In this five-day workshop for both graduate students and advanced undergraduate students, there will be a number of lectures given by active and leading experts in several important areas of analysis of partial differential equations, especially those arising from mathematical analysis of fluid dynamics and nonlinear waves. Participants will learn about the physical background, rigorous mathematical formulation, analytic tools, and latest developments in important PDE phenomena including singularity formation, uniqueness and non-uniqueness of weak solutions, stability mechanisms, and soliton resolution. Participants will also have many opportunities to interact with the lecturers in informal settings.
We will provide financial support to facilitate students' participation. To apply, please submit the following documents through the Workshop Application link at the top of the page:
- A brief CV or resume. (A list of publications is not necessary.);
- A reference letter from your advisor or professor.
Supported by NSF CAREER 1945179
Schedule
Subscribe to this event's calendar
Monday, July 25, 2022
| 9:00 am - 9:30 am | Registration and Coffee | Vincent 502 |
| 9:30 am - 10:30 am | Instability and non-uniqueness in the Navier-Stokes equations
Dallas Albritton (Princeton University) |
Vincent 570 |
| 10:30 am - 11:00 am | Break and Discussion | Vincent 502 |
| 11:00 am - 12:00 pm | Singularity formation in incompressible fluids and related models
Jiajie Chen (California Institute of Technology) |
Vincent 570 |
| 12:00 pm - 1:30 pm | Lunch | |
| 1:30 pm - 2:30 pm | 1d scattering theory and its application to nonlinear dispersive equations
Gong Chen (Georgia Institute of Technology) |
Vincent 570 |
| 2:30 pm - 3:00 pm | Break | Vincent 502 |
| 3:00 pm - 4:00 pm | Inviscid damping, enhanced dissipation, and dynamical stability for Euler and Navier Stokes equations
Hao Jia (University of Minnesota, Twin Cities) |
Vincent 570 |
| 4:00 pm - 4:30 pm | Break and Discussion | Vincent 502 |
Tuesday, July 26, 2022
| 9:00 am - 9:30 pm | Coffee | Vincent 502 |
| 9:30 am - 10:30 am | Instability and non-uniqueness in the Navier-Stokes equations
Dallas Albritton (Princeton University) |
Vincent 570 |
| 10:30 am - 11:00 am | Break and Discussion | Vincent 502 |
| 11:00 am - 12:00 pm | Singularity formation in incompressible fluids and related models
Jiajie Chen (California Institute of Technology) |
Vincent 570 |
| 12:00 pm - 1:30 pm | Lunch | |
| 1:30 pm - 2:30 pm | 1d scattering theory and its application to nonlinear dispersive equations
Gong Chen (Georgia Institute of Technology) |
Vincent 570 |
| 2:30 pm - 3:00 pm | Break and Discussion | Vincent 502 |
| 3:00 pm - 4:00 pm | Inviscid damping, enhanced dissipation, and dynamical stability for Euler and Navier Stokes equations
Hao Jia (University of Minnesota, Twin Cities) |
Vincent 570 |
| 4:00 pm - 5:00 pm | Outdoor Group Activity |
Wednesday, July 27, 2022
| 9:00 am - 9:30 am | Coffee | Vincent 502 |
| 9:30 am - 10:30 am | Instability and non-uniqueness in the Navier-Stokes equations
Dallas Albritton (Princeton University) |
Vincent 570 |
| 10:30 am - 11:00 am | Break and Discussion | Vincent 502 |
| 11:00 am - 12:00 pm | Singularity formation in incompressible fluids and related models
Jiajie Chen (California Institute of Technology) |
Vincent 570 |
| 12:00 pm - 1:30 pm | Lunch | |
| 1:30 pm - 2:30 pm | 1d scattering theory and its application to nonlinear dispersive equations
Gong Chen (Georgia Institute of Technology) |
Vincent 570 |
| 2:30 pm - 3:00 pm | Break and Discussion | Vincent 502 |
| 3:00 pm - 4:00 pm | Inviscid damping, enhanced dissipation, and dynamical stability for Euler and Navier Stokes equations
Hao Jia (University of Minnesota, Twin Cities) |
Vincent 570 |
| 4:00 pm - 4:30 pm | Break and Discussion | Vincent 502 |
Thursday, July 28, 2022
| 9:00 am - 9:30 am | Coffee | Vincent 502 |
| 9:30 am - 10:30 am | Instability and non-uniqueness in the Navier-Stokes equations
Dallas Albritton (Princeton University) |
Vincent 570 |
| 10:30 am - 10:45 am | Group Photo | |
| 10:45 am - 11:00 am | Break and Discussion | Vincent 502 |
| 11:00 am - 12:00 pm | On the long-term regularity of water waves
Alexandru Ionescu (Princeton University) |
Vincent 570 |
| 12:00 pm - 1:30 pm | Lunch | |
| 1:30 pm - 2:30 pm | On the long-term regularity of water waves
Alexandru Ionescu (Princeton University) |
Vincent 570 |
| 2:30 pm - 3:00 pm | Break and Discussion | Vincent 502 |
| 3:00 pm - 4:00 pm | Singularity formation in incompressible fluids and related models
Jiajie Chen (California Institute of Technology) |
Vincent 570 |
| 4:00 pm - 4:30 pm | Break and Discussion | Vincent 502 |
| 4:30 pm - 5:00 pm | Panel Discussion | Vincent 570 |
Friday, July 29, 2022
| 8:30 am - 9:00 am | Coffee | Vincent 502 |
| 9:00 am - 10:00 am | Inviscid damping, enhanced dissipation, and dynamical stability for Euler and Navier Stokes equations
Hao Jia (University of Minnesota, Twin Cities) |
Vincent 570 |
| 10:00 am - 10:30 am | Break and Discussion | Vincent 502 |
| 10:30 am - 11:30 am | On the long-term regularity of water waves
Alexandru Ionescu (Princeton University) |
Vincent 570 |
Participants
| Name | Department | Affiliation |
|---|---|---|
| Dallas Albritton | Institute for Advanced Studies | Princeton University |
| Adam Black | Department of Mathematics | Yale University |
| Gong Chen | Department of Mathematics | Georgia Institute of Technology |
| Jiajie Chen | Department of Applied and Computational Mathematics | California Institute of Technology |
| Adriaan de Clercq | School of Mathematics | University of Minnesota, Twin Cities |
| Kevin Dembski | Department of Mathematics | Duke University |
| Samir Donmazov | Department of Mathematics | University of Kentucky |
| Ziyang Gao | Mathematics | University of Minnesota, Twin Cities |
| Jialun He | Department of Mathematics | State University of New York - Stonybrook |
| Yupei Huang | Department of Mathematics | Duke University |
| Alexandru Ionescu | Department of Mathematics | Princeton University |
| Hao Jia | School of Mathematics | University of Minnesota, Twin Cities |
| Aldis Kurmis | Department of Mathematics | University of Minnesota, Twin Cities |
| Noah Lee | Department of Applied and Computational Mathematics | Princeton University |
| Kexin Li | Department of Mathematics | University of Michigan |
| Zhengjun Liang | Department of Mathematics | University of Michigan |
| Jiaqi Liu | Department of mathematics | University of Southern California |
| Tal Malinovitch | Department of Mathematics | Yale University |
| Frederick Rajasekaran | Department of Mathematics | University of California, San Diego |
| Xuanlin Shu | Department of Mathematics | Rutgers, State University of New Jersey |
| Yixuan Wang | Department of Applied and Computational Mathematics | California Institute of Technology |
| Kin Yau James Wong | Department of Mathematics | University of California, San Diego |
| Yantao Wu | Department of Mathematics | Johns Hopkins University |
