Systems with multiple timescales, in which the dynamics separate into slow and fast components, occur ubiquitously in models of physical, biological and ecological processes. In this talk I will focus on two example applications: the dynamics of vegetation patterns in water-limited regions and the propagation of impulses along nerve fibers. These processes can be modeled by reaction diffusion PDEs in which the patterns arise as traveling wave solutions. The slow/fast timescale separation induces a geometry on the underlying equations which can be exploited to gain insight into the structure and stability of these patterns.

Michael Cranston is inviting you to a scheduled Zoom meeting.

Topic: Carter Colloquium
Time: Oct 9, 2020 03:30 PM Pacific Time (US and Canada)

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Meeting ID: 946 1422 4176
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