2006/12/05 by Zhou Gang, Gang Zhou, Zhou, Gang
Computer Science · Engineering · Mathematics · Physics and Astronomy · #35K57 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations #math-ph #math.AP #math.MP #msc:35K57
paper · pdf · doi:10.48550/arxiv.math/0612110
33 Pages
openalex publication_date 2006/12/05 · arxiv created 2006/12/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study the quenching problem in nonlinear heat equations with power nonlinearities. For nonlinearities of power p<0 and for an open set of slowly varying initial conditions we prove that the solutions will collapse in a finite time. We find the collapse profile and estimate the remainder.