Second order asymptotics and uniqueness for self-similar profiles to a singular diffusion equation with gradient absorption

2024/06/17 by Iagar, Razvan Gabriel, Laurençot, Philippe
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2406.11518

Abstract

Solutions in self-similar form presenting finite time extinction to the singular diffusion equation with gradient absorption ∂_t u - div(|∇ u|^p-2∇ u) +|∇ u|^q=0 \rm in (0,∞)×ℝ^N are studied when N≥1 and the exponents (p,q) satisfy p_c=(2N)/(N+1), p-1

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