On the existence of weak solutions for a class of singular reaction diffusion systems
Salim Mesbahi · Hacettepe Journal of Mathematics and Statistics · 2022
We study the existence of weak solutions for a parabolic reaction diffusion model applied in Quenching endowed with singular production terms by reaction. The singularity is due to a potential occurrence of quenching localized to the domain boundary. The techniques used are based on energy estimates to approach nonsingular problems and uniform control on the set where singularities are localizing.