Department of Mathematics

Hongkai Zhao, Duke University Radiative transport equation is used widely to model propagation of particles through a scattering medium, such as photon transport in tissues in optical imaging. In this talk, I will present instability analysis of an inverse problem of radiative transport equation with angularly independent source…

Paul Atzberger, University of California, Santa Barbara Recent emerging data-driven methods combined with more traditional numerical analysis are presenting new opportunities for model development and for performing simulations.   We will discuss a few motivating applications in fluid mechanics and biophysics.  We first discuss…

Jie Qing, University of California, Santa Cruz In this talk we would like to report my recent joint work with Shiguang Ma on the application of the potential theory in conformal geometry. We will mention many interesting equations in conformal geometry and the potential-theoretic approach to study them. In particular, we present…

Roger Temam, University of Paris & Indiana University Stochastic partial differential equations are commonly used, the stochastic term being added in the equations to model uncertainties or the lack of understanding of the physics of the problem. Most commonly, the stochastic term is a white noise, corresponding to a…

Benedetto Piccoli, Rutgers University We will revise recent advances in modeling and control of multiagent systems. Then we will focus on traffic applications describing a recent experiment using 100 autonomous vehicles to smooth traffic and increase fuel efficiency. Zoom

Aaron Yip, Purdue University Abstract: Despite a long history and many results on motion by mean curvature and homogenization, there are still many interesting questions when these two problems are put together. This is a typical question of gradient flow on wiggly energy landscapes. The talk will revisit the problem of motion by…

Eitan Tadmor, University of Maryland A fascinating aspect of collective dynamics is self-organization of small scale interactions into high-order structures with larger-scale patterns. It is a characteristic feature of “social particles” which actively probe the environment and emerge in various types of clusters. In different…

Kelsey Gasior, University of Ottawa, Canada An emerging mechanism for intracellular organization is liquid-liquid phase separation (LLPS). Found in both the nucleus and the cytoplasm, liquidlike droplets condense to create compartments that are thought to localize factors, such as RNAs and proteins, and promote biochemical…