TY - JOUR
T1 - Blow-up Sets to a Coupled Heat System
AU - Wang , Jinhuan
AU - Hong , Liang
JO - Communications in Mathematical Research 
VL - 2
SP - 117
EP - 130
PY - 2021
DA - 2021/05
SN - 30
DO - http://doi.org/10.13447/j.1674-5647.2014.02.03
UR - https://global-sci.org/intro/article_detail/cmr/18974.html
KW - coupled localized source, coupled local source, total blow-up, single
point blow-up, blow-up set.
AB - <p style="text-align: justify;">This paper deals with a heat system coupled via local and localized sources
subject to null Dirichlet boundary conditions. In a previous paper of the authors, a
complete result on the multiple blow-up rates was obtained. In the present paper, we
continue to consider the blow-up sets to the system via a complete classification for
the nonlinear parameters. That is the discussion on single point versus total blow-up
of the solutions. It is mentioned that due to the influence of the localized sources,
there is some substantial difficulty to be overcomed there to deal with the single point
blow-up of the solutions.</p>