Speaker: 程伟教授 (南京大学)
Time: 2025-10-30 16:00-17:30
Location: 1310, SIMIS
Abstract: We will explore Hamiltonian equations, the Hamilton-Jacobi equation, and the generalized Hamiltonian gradient flow developed in recent years with collaborators, along with the resulting transport equations. We will investigate the propagation of singularities in optimal transport determined by measure transport systems governed by the generalized Hamiltonian gradient flow. This problem naturally leads to a class of Hamilton-Jacobi equations on measure spaces. These advances provide novel insights into related fields, enabling us to further reflect on various aspects of irreversible phenomena.
About Speaker: Professor Cheng Wei has long been engaged in interdisciplinary research in Hamiltonian dynamical systems, particularly Aubry-Mather theory, the viscosity solution theory of Hamilton-Jacobi equations, mean field game theory, and optimal transport. He has published numerous significant results in top-tier international journals, including Publ. Math. IHÉS, which have had a substantial international impact. He has also led several national-level scientific grants, including key grants supported by the National Natural Science Foundation of China.
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