This paper investigates the propagation of a flame front in a periodic heterogeneous solid medium under the effect of temperature. The system of PDEs for the temperature and the interface form a free boundary system composed of a parabolic equation coupled with a Hamilton-Jacobi type equation. We propose a monotonous and stable numerical scheme and verify numerically that the numerical solution converges to a traveling wave solution for large time.
No takes yet. Share an insight, caveat, or question.
Mohamed Karimou Gazibo (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: