Updated: 3 days ago
Join Zoom Meeting Meeting ID: 924 888 5804 Passcode: AMSS2022
Organizer: Quoc-Hung Nguyen , Academy of Mathematics and Systems Science,
Chinese Academy of Sciences, Beijing.
The Seminar's purpose is to promote and influence more cooperation, understanding, and collaboration among scientists working in Partial Differential Equations.
Due to the coronavirus pandemic and in a time of social distancing, PDE Seminar via Zoom aims to provide such a venue for the PDE community, and keep as many researchers as possible stay connected.
January 27th, 2022
Speaker: Susanna Terracini, Università di Torino
Title: Free boundaries in segregation problems
February 10th, 2022
Speaker: Hongjie Dong, Brown University
Title: Sobolev estimates for fractional PDEs
Abstract: I will discuss some recent results on Sobolev estimates for fractional elliptic and parabolic equations with or without weights. We considered equations with time fractional derivatives of the Caputo type, or with nonlocal derivatives in the space variables, or both. This is based on joint work with Doyoon Kim (Korea University) and Yanze Liu (Brown).
February 24th, 2022
Speaker: Bogdan-Vasile Matioc, Universität Regensburg
Title: The two-phase quasi-stationary Stokes flow by capillarity in the plane
Abstract: We discuss a two-phase moving boundary problem that describes the two-dimensional quasistationary Stokes flow of two fluids with different densities and viscosities that occupy the entire plane in the regime where surface tension effects are taken into account at the interface that separates the fluids. In this setting the classical methods of potential theory can be used to transform the model into a nonlinear and nonlocal evolution problem for the function that parameterizes the interface between the fluids, the nonlinearities being expressed by singular integral operators. This problem is of parabolic type, well-posed in all Sobolev spaces up to critical regularity, and it features some parabolic smoothing properties. Joint work with Georg Prokert.
March 3rd, 2022
Speaker: Igor Kukavica, University of Southern California
March 10th, 2022
Speaker: Mitia Duerinckx, Paris-Saclay University
March 17th, 2022
Speaker: Max Engelstein, University of Minnesota
March 24th, 2022
Speaker: Gianluca Crippa, University of Basel
April 7th, 2022
Speaker: Konstantina Trivisa, University of Maryland
Talks before June, 2021 hosted by ShanghaiTech University.
1. April 9th, 2020
Speaker: Elia Brué, SNS, PISA.
Title: Classical non-uniqueness of characteristic curves associated to Sobolev vector fields
Speaker: Hyunju Kwon, IAS, Princeton
Title: Strong ill-posedness of the logarithmically regularized 2D Euler equations in the borderline Sobolev space
Speaker: Zhenfu Wang, University of Pennsylvania
Title: Quantitative Methods for the Mean Field Limit Problem