V-shaped fronts around an obstacle

In this paper, we investigate V-shaped fronts around an obstacle K. We first prove that there exist solutions emanating from any homogeneous transition front including V-shaped front for exterior domains Omega = R-N \ K. By providing the complete propagation of the V-shaped front, we prove that the V-shaped front can recover after passing the obstacle.

Automated summary

This paper investigates V-shaped fronts around an obstacle K, proving the existence of solutions emanating from any homogeneous transition front for exterior domains, and demonstrating the complete propagation and recovery of the V-shaped front after passing the obstacle.