2 papers
math.AP2022
-limit for a sharp interface model related to pattern formation on biomembranes
Denis Brazke, Hans Knüpfer, Anna Marciniak-Czochra
We derive a macroscopic limit for a sharp interface version of a model proposed in [29] to investigate pattern formation due to competition of chemical and mechanical forces in bio…
math.AP2022
Discontinuous stationary solutions to certain reaction-diffusion systems
Szymon Cygan, Anna Marciniak-Czochra, Grzegorz Karch
Systems consisting of a single ordinary differential equation coupled with one reaction-diffusion equation in a bounded domain and with the Neumann boundary conditions are studied…