Partial Differential Equations: Deterministic and Probabilistic (24w5192)


Weijun Xu (Peking University)

Chenjie Fan (Chinese Academy of Sciences)

Ting Zhou (Zhejiang University)


The Institute for Advanced Study in Mathematics will host the “Partial Differential Equations: Deterministic and Probabilistic” workshop in Hangzhou, China from August 18 - 23, 2024.

There have been vast breakthroughs in the area of PDEs with singular randomness in the past a few years, notably parabolic PDEs with singular random noise, and (deterministic) dispersive PDEs with singular random initial data. A common feature of these two types of problems is that the randomness present is too singular for nonlinear operations in the equation to be well-defined classically, but on the other hand magical cancellations from these randomness also allow treatment of these equations with the help of probabilistic methods. Recent research in these two areas also brings potential interaction with the field of inverse problems from PDEs.

This workshop will provide opportunity for senior and young researchers from the above areas to meet, discuss, and inspire each other. We aim to foster collaborations between different communities and inspire new research ideas.

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta’s Advanced Education and Technology, and Mexico’s Consejo Nacional de Ciencia y Tecnología (CONACYT).