Department of

Mathematics


Seminar Calendar
for events the day of Tuesday, November 12, 2019.

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Tuesday, November 12, 2019

1:00 pm in 345 Altgeld Hall,Tuesday, November 12, 2019

To Be Announced

Ward Henson (UIUC Math)

1:00 pm in 347 Altgeld Hall,Tuesday, November 12, 2019

Turing patterns in the Schnakenberg equations: From normal to anomalous diffusion

Yanzhi Zhang (Department of Mathematics and Statistics, Missouri University of Science and Technology)

Abstract: In recent years, anomalous diffusion has been observed in many biological experiments. Instead of classical Laplace operator, the anomalous diffusion is described by the fractional Laplacian. In this talk, we will discuss the Turing patterns of the Schnakenberg equation and compare the pattern selection under normal and anomalous diffusion. Our analysis shows that the wave number of the Turing instability increases with the exponent of the fractional Laplacian. The interplay of the nonlinearity and long-range diffusion are studied numerically, and especially comparisons are provided to understand the nonlocal effects of the fractional Laplacian.