On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder
Assuming that coefficients stabilize to a periodic regime, the authors prove existence of a bounded solution, its stabilization to a constant, and give sufficient and necessary conditions for the uniqueness of solutions to a linear stationary reaction-diffusion equation posed in an semi-infinite cylinder. They impose Neumann conditions on the lateral boundary of the cylinder, while at the cylinder's basis they prescribe a Dirichlet condition.
scientific article; zbMATH DE number 5574129