Madison Workshop in PDE 2023

UW Madison,  May 15-18, 2023 (Monday-Thursday)

Speakers


Yu Gu (University of Maryland)

Xiaoqin Guo (University of Cincinnati)

Yuxi Han (UW-Madison)

Jiwoong Jang (UW-Madison)

Dohyun Kwon (University of Seoul) 

Cornelia Mihaila (Saint Michael's College)

Peter Morfe (Max Planck Institute)

Khai Nguyen (NCSU)

Stefania Patrizi (UT Austin)

Ben Seeger (UT Austin)

Nicolas Garcia Trillos (UW-Madison)

Son Tu (Michigan State University)


Final schedule (all talks are in B239 Van Vleck Hall)

Direction to B239 Van Vleck Hall: Go inside Van Vleck Hall and go down to the 2nd basement (either by stairs or elevators). B239 is right at the corner near the elevators.

We also have B223 and B231 reserved for group discussions and coffee/tea time breaks.

Monday, May 15.

Morning

8:45-9:00: meet and greet

09:00 - 10:00 Xiaoqin Guo (University of Cincinnati)

Optimal homogenization rates in the stochastic homogenization in a balanced random environment


10:00 - 10:30 Informal discussions


10:30 - 11:30 Yu Gu (University of Maryland) - online talk via Zoom

A PDE hierarchy for directed polymer in random environment


11:30 - 12:00 Informal discussions


Afternoon

14:00 - 15:00 Peter Morfe (Max Planck Institute)

Recent progress on the homogenization of geometric flows in the parabolic scaling


15:00 - 15:30 Informal discussions


15:30 - 16:30 Dohyun Kwon (University of Seoul)

Flocking in multi-agent systems on a sphere


16:30 - 17:00 Informal discussions



Tuesday, May 16.

Morning

09:00 - 10:00 Khai Nguyen (North Carolina State University)

BV regularity and metric entropy for HJ equations with non Tonelli Hamiltonian


10:00 - 10:30 Informal discussions


10:30 - 11:30 Son N. T. Tu (Michigan State University)

Generalized convergence of solutions for nonlinear Hamilton-Jacobi equations with state-constraint


11:30 - 12:00 Informal discussions


Afternoon

14:00 - 15:00 Yuxi Han (University of Wisconsin-Madison)

Global semiconcavity of solutions to first-order Hamilton-Jacobi equations with state constraints


15:00 - 15:30 Informal discussions


15:30 - 16:30 Panel discussions on how to choose problems to do in PDE/related areas (9th floor lounge, Van Vleck Hall)


16:30 - 17:00 Free time for ice creams at 9th floor lounge, Van Vleck Hall



Wednesday, May 17.

Morning

09:00 - 10:00 Stefania Patrizi (University of Texas-Austin)

Derivation of the 1-D Groma-Balogh equations from the Peierls-Nabarro model


10:00 - 10:30 Informal discussions


10:30 - 11:30 Cornelia Mihaila (Saint Michael's College)

A definition of fractional k-dimensional measure


11:30 - 12:00 Informal discussions


Afternoon

14:00 - 15:00 Jiwoong Jang (University of Wisconsin-Madison)

Optimal rate of convergence in periodic homogenization of forced mean curvature flow of graphs in the laminar setting


15:00 - 15:30 Informal discussions



Thursday, May 18.

Morning

09:00 - 10:00 Nicolas Garcia Trillos (University of Wisconsin-Madison)

Adversarial training through the lens of optimal transport


10:00 - 10:30 Informal discussions


10:30 - 11:30 Ben Seeger (University of Texas-Austin)

Transport equations and connections with mean field games


11:30 - 12:00 Informal discussions


Conference ends at noon of May 18.

(Some small adjustments were made on May 9, 2023).

Organizers: Yuxi Han, Jiwoong Jang, Hung Vinh Tran (UW-Madison).

UW Travel and Events Coordinator: Ben Lincks.