TY - JOUR
T1 - Quenching Phenomenon of Solutions for Parabolic Equations with Singular Absorption on Graphs
AU - Zhu , Liping
AU - Zhou , Yaxin
AU - Huang , Lin
JO - Journal of Partial Differential Equations
VL - 1
SP - 104
EP - 120
PY - 2024
DA - 2024/02
SN - 37
DO - http://doi.org/10.4208/jpde.v37.n1.6
UR - https://global-sci.org/intro/article_detail/jpde/22908.html
KW - Graph, singular absorption, quenching, mixed boundary conditions.
AB - <p style="text-align: justify;">In this paper, we study the quenching phenomenon of solutions for parabolic
equations with singular absorption under the mixed boundary conditions on graphs.
Firstly, we prove the local existence of solutions via Schauder fixed point theorem.
Then, under certain conditions we obtain the estimates of quenching time and quenching rate. Finally, numerical experiments are shown to explain the theoretical results.</p>