Existence and asymptotics of travelling waves in a thermo-diffusive model in half-cylinders. Part II: Oblique boundary conditions

In this paper, we investigate a system of reaction–diffusion equations set in half-cylinders and involving oblique boundary conditions. This type of system arises in the modelization of burner flames and approach in a suitable sense conical-shaped fronts in the whole space. We prove the existence of solutions and some properties of the speed of propagation of the travelling fronts in some asymptotic limit.