4.6 Article

Dynamics of Shadow System of a Singular Gierer-Meinhardt System on an Evolving Domain

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Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer-Meinhardt system

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Summary: This paper thoroughly investigates the blowing up behavior induced through diffusion of the solution to a non-local problem, providing constructions of solutions that blow up in finite time at interior points under certain conditions. The final asymptotic profile at the blowup point and the form of Turing patterns occurring in that case are also described. The technique used for constructing the blowing up solutions mainly relies on previously developed approaches.

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