On some parabolic systems arising from a nuclear reactor model with nonlinear boundary conditions
Analysis of PDEs
2018-05-14 v1
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.
Keywords
Cite
@article{arxiv.1805.04244,
title = {On some parabolic systems arising from a nuclear reactor model with nonlinear boundary conditions},
author = {Kosuke Kita and Mitsuharu Ôtani and Hiroki Sakamoto},
journal= {arXiv preprint arXiv:1805.04244},
year = {2018}
}