University of Heidelberg, Applied Analysis Seminar
Thu 18.02.2021
14:15, posted in Applied Analysis
Szymon Cygan (University of Wrocław)
Instability of all regular stationary solutions to reaction-diffusion-ODE systems
Online via HeiCONF

I will consider a general system of several ordinary differential equations coupled with one reaction-diffusion equation in a bounded domain with the non-flux boundary condition. In this talk I will show that these initial-boundary value problems may have regular (sufficiently smooth) stationary solutions and that all such solutions are unstable. This is a complementary result to the another work where stable discontinuous stationary solutions were constructed.

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