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

Author

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  • Zhu, Liping
  • Li, Zhijie
  • Zhang, Zhengce

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.

Suggested Citation

  • Zhu, Liping & Li, Zhijie & Zhang, Zhengce, 2024. "The quenching behavior of a general singular electrostatic Micro-Electro-Mechanical-System," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012596
    DOI: 10.1016/j.chaos.2023.114357
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