Blow-Up Solution of a Porous Medium Equation with Nonlocal Boundary Conditions

Huimin Tian and Lingling Zhang

Complexity, 2020, vol. 2020, 1-20

Abstract:

In this paper, we devote to studying the blow-up phenomena for a porous medium equation under nonlocal boundary conditions. Based on auxiliary functions and differential inequality technique, we derive the sufficient conditions to guarantee the existence of blow-up solutions under different measures and obtain an upper bound for blow-up time. Moreover, we demonstrate the lower bounds for blow-up time under some appropriate measures in and in the higher-dimensional space , respectively. At last, two examples are given to illustrate the applications of main results.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:9037287

DOI: 10.1155/2020/9037287

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