图形上具有奇异吸收的抛物方程解的淬火现象

Pub Date : 2024-06-01 DOI:10.4208/jpde.v37.n1.6

Liping Zhu, Yaxin Zhou null, Lin Huang

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引用次数: 0

摘要

.本文研究了图上混合边界条件下具有奇异吸收的抛物方程解的淬火现象。首先，我们通过 Schauder 定点定理证明了解的局部存在性。然后，在一定条件下，我们得到了淬火时间和淬火率的估计值。最后，通过数值实验来解释理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quenching Phenomenon of Solutions for Parabolic Equations with Singular Absorption on Graphs

. 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.

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