Asymptotic behavior of radial solutions to an elliptic-parabolic system with nonlinear boundary conditions (Q1917026)

The author studies symmetric solutions \((u(x,y,z)=u(r,z))\) to an elliptic-parabolic system (\(z\) acts like time) in a domain that is built up by three concentric cylinders. The system models chemical reactions that take place at the two fixed interfaces, the boundaries of the inner cylinders. Hence the differential equations in each subdomain are uncoupled and the coupling comes in by the nonlinear boundary conditions. A main result is the behaviour of the solutions for \(z\to\infty\).