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

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

References

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