哈密顿-雅克比方程的奇性与相关课题：几何、控制与随机研讨会----天元数学国际交流中心

哈密顿-雅克比方程的奇性与相关课题：几何、控制与随机研讨会

2026.05.19

召集人：

张建路，中国科学院数学与系统科学研究院，副研究员；

程伟，南京大学，数学系，教授；

Konstantin Khanin，清华大学，Bimsa中心，教授

时间：2026.06.28—2026.07.04

Programme

All talks take place in the main lecture hall. Each talk is 50 minutes including discussion.

Day	Morning (9:30–12:00）	Afternoon (Mon15:00,Tue/Thu14:30）
Mon6/29	Cannarsa,Tran	Wang KZ, Mendico
Tue6/30	Rassoul-Agha, Li L	Mitake,Hong, Liu GY

Wednesday 1 July—9:00 start

Wed7/1	Khanin, Yu YF, Cheng	Excursion
Thu7/2	Sorrentino, Chen	Jin L, Han, Qi
Fri7/3	Iturriaga,Wang ZB	—

Wednesday 9:00 start. Friday ends at 11:50.

Monday,29 June 2026

09:20–09:30

Opening remarks

Morning session—Chair: Jianlu Zhang

09:30–10:20	Piermarco Cannarsa Long-Time Behavior of Generalized Gradient Flows for Critical HJ Equations
10:20–10:50	Coffee break
10:50–11:40	HungV.Tran Quantification of Ergodicity for HJ Equations in a Dynamic Ran-dom Environment

Afternoon session—Chair: Wei Cheng

15:00–15:50

Kaizhi Wang

New Dynamical Phenomena for the HJ Equation

15:50–16:10

Coffee break

16:10–17:00

Cristian Mendico

Ergodicity in Optimal Control: A Weak KAM Approach

Tuesday, 30 June 2026

Morning session—Chair: Konstantin Khanin

09:30–10:20	Firas Rassoul-Agha Shocks, Instability, and the Twenty Networks of Infinite Geodesics in the Directed Landscape
10:20–10:50	Coffee break
10:50–11:40	Liying Li Stationary Solutions for Stochastic Burgers Equation on the Real Line

Afternoon session—Chair: Hung V.Tran

14:30–15:20	Hiroyoshi Mitake Optimal Semiconcavity with Fractional Modulus for HJ Equations with Neumann Boundary Conditions
15:20–16:10	Jiahui Hong Generalized Hamiltonian Gradient Flowand Propagation of Singu-larities
16:10–16:30	Coffee break
16:30–17:20	Gengyu Liu Comparison Principle of General HJ Equations and Applications

Wednesday,1 July 2026

Morning session—Chair: Andrei Sobolevski

09:00–09:50	Konstantin Khanin Open transport problems related to the Hamilton–Jacobi equation
09:50–10:40	Yifeng Yu Nonexistence of Vanishing-Viscosity Limits for Mechanical Hamil-tonian Ergodic Problems
10:40–11:10	Coffee break
11:10–12:00	Wei Cheng Some New Problems from HJ Equations: Dynamics,Transport, Fluids, and Randomness
12:00–14:00	Lunch break
14:00–17:30	Free discussion/Excursion

Thursday,2 July 2026

Morning session—Chair:Yifeng Yu

09:30–10:20

Alfonso Sorrentino

Stochastic Homogenization of the HJ Equation on Manifolds

10:20–10:50

Coffee break

10:50–11:40

Qinbo Chen

A New Selection Problem for Degenerate Viscous HJ Equations

Afternoon session—Chair: Piermarco Cannarsa

14:30–15:20	Liang Jin Inhomogeneous Discounted HJ Equations: A Dynamical Approach
15:20–16:10	YuxiHan Quantitative Homogenization of First-Order Convex HJ Equations in Wasserstein Space
16:10–16:30	Coffee break
16:30–17:20	Junkai Qi On Convergence Rates for Vanishing Viscosity of Degenerate HJ Equations

Friday, 3 July 2026

Morning session—Chair: Alfonso Sorrentino

09:30–10:20	Renato Iturriaga Instability and Scattering for Homographic Motions
10:20–10:50	Coffee break
10:50–11:30	Zibo Wang On the Vanishing Viscosity Limit of HJ Equations
11:30–11:50	Free discussion

Title and Abstract

哈密顿-雅克比方程的奇性与相关课题：几何、控制与随机研讨会