The quenching behavior of a general singular electrostatic Micro-Electro-Mechanical-System

Liping Zhu, Zhijie Li and Zhengce Zhang

Chaos, Solitons & Fractals, 2024, vol. 178, issue C

Abstract: In this paper, we study the quenching behavior of a nonlinear diffusion equation with singular absorption and singular boundary flux. Under certain conditions on the initial data, we show that the quenching occurs only on the boundary in finite time. Moreover, we derive the lower and upper bounds of quenching rate, and also get the estimates for quenching time. Finally, numerical simulations support our analytical results and provide more intuitive illustrations of the analytical results.

Keywords: Nonlinear diffusion equation; Quenching rate; Singular absorption; Singular boundary flux (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012596

DOI: 10.1016/j.chaos.2023.114357

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