Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension

2022/05/19 by Iagar, Razvan Gabriel, Latorre, Marta, Sánchez, Ariel · 2 citations
#Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2205.09407

Abstract

We classify all the blow-up solutions in self-similar form to the following reaction-diffusion equation ∂_tu=Δu^m+|x|^σu^p, posed for (x,t)∈\real^N×(0,T), with m>1, 1≤ p0.

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• Self-similar blow-up solutions for the supercritical parabolic Hardy-Hénon equation
• Sharp non-existence threshold for a parabolic Hardy-Hénon equation with quasilinear diffusion

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