On some parabolic systems arising from a nuclear reactor model with nonlinear boundary conditions

2018/05/11 by Kosuke Kita, Kita, Kosuke, Mitsuharu Ôtani +3
Computer Science · Engineering · Mathematics · #35K57 #35K61 #35Q79 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations #math.AP #msc:35K57 #msc:35K61 #msc:35Q79

paper · pdf · doi:10.48550/arxiv.1805.04244

arxiv created 2018/05/11 · openalex publication_date 2018/05/11 · arxiv updated 2018/05/14 · openalex created_date 2018/05/17 · openalex updated_date 2026/07/28

Abstract

In this paper, we are concerned with a reaction diffusion system arising from a nuclear reactor model in bounded domains with nonlinear boundary conditions. We show the existence of a stationary solution and its ordered uniqueness. It is also shown that every positive stationary solution possesses threshold property to determine blow-up or globally existence for solutions of nonstationary problem.

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