University of Oxford

Aggregation-Diffusion and Kinetic PDEs for collective behavior: applications in the sciences

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B1 L3 R3119

In this seminar, I will present a survey of micro, meso and macroscopic models where repulsion and attraction effects are included through pairwise potentials. I will discuss their interesting mathematical features and applications in mathematical biology and engineering. Qualitative properties of local minimizers of the interaction energies are crucial in order to understand these complex behaviors. I will showcase the breadth of possible applications with three different phenomena in applications: segregation, phase transitions, and consensus.

Simon Maher

Simon Maher is currently an assistant professor of sensors and analytical instrumentation in the Department of Electrical Engineering & Electronics at the University of Liverpool, U.K. Maher graduated from KAUST in 2010 with a master’s degree in electrical engineering. After KAUST, he went on to complete his Ph.D. from the University of Liverpool in 2013. Maher has held positions at the University of Oxford, AMOLF, Ohio State University and Tata Steel. He was a co-founder and director of the U.K. charity Caring Alone, receiving a Community Impact Award from the Prince of Wales for services to