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Events for September 18, 2018 from General and Seminar calendars

The Foias Lectures

Time: 4:00PM - 5:00PM

Location: Blocker 117

Speaker: Peter Markowich, KAUST

Title: Continuum Modeling of Transportation Networks with Differential Equations

Abstract: We present a discrete ODE and continuum PDE modeling framework for biological transportation networks, which can be used to describe leaf venation, neuronal networks, blood vessel networks etc. The differential equations, which are based on first principles, are capable of modeling network formation, evolution and adaptation. Many mathematical difficulties arise, like instabilities, formation of (thin patterns, multiple steady states, singular scaling limits etc.