On the existence of weak solutions for a class of singular reaction diffusion systems

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Hacettepe Journal of Mathematics and Statistics
Volume:51 Issue:3
On the existence of weak solutions for a class of singular reaction diffusion systems

On the existence of weak solutions for a class of singular reaction diffusion systems

Pages : 757-774

View : 24 | Download : 9

Publication Date : 2022-06-01

Article Type : Research Paper

Abstract :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.
Keywords : singular parabolic equations, weak solutions, reaction diffusion systems, quenching

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