A Nonlocal Quenching Problem Arising in a Micro-electro Mechanical System

@inproceedings{Guo2008ANQ,
  title={A Nonlocal Quenching Problem Arising in a Micro-electro Mechanical System},
  author={Jong-Shenq Guo and Hu Bei and Chi-Jen Wang},
  year={2008}
}
In this paper, we study a nonlocal parabolic problem arising in the study of microelectro mechanical system. The nonlocal nonlinearity involved is related to an integral over the spatial domain. We first give the structure of stationary solutions. Then we derive the convergence of global (in time) solution to the maximal solution as the time tends to infinity. Finally, we provide some quenching criteria. 

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Referenced Papers

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Showing 1-10 of 18 references

Dynamical behavior of solutions of a semilinear heat equation with nonlocal singularity

  • K. Deng
  • SIAM J. Math. Anal
  • 1995
Highly Influential
4 Excerpts

On the steady states of a nonlocal semilinear heat equation, Dynamics of Continuous, Discrete and Impulsive Systems, Series A

  • J.-S. Guo, T.-M. Hwang
  • Mathematical Analysis
  • 2001
1 Excerpt

Quenching behavior for the solution of a nonlocal semilinear heat equation

  • T.-M. Hwang
  • Differential and Integral Equations
  • 2000

Quenching behavior for the solution of a nonlocal semilinear heat equation, Differential and Integral Equations

  • J.-S. Guo
  • 2000
1 Excerpt

Critical length for a quenching problem with nonlocal singularity

  • G.-J. Chen, J.-S. Guo
  • Methods and Applications of Analysis
  • 1998
1 Excerpt

Critical length for a quenching problem with nonlocal singularity Dynamical behavior of solutions of a semilinear heat equation with nonlocal singularity

  • M. K. Kwong Deng, H. A. Levine
  • SIAM J . Math . Anal .
  • 1995

Quenching profiles for one-dimensional semilinear heat equations

  • S. Filippas, J.-S. Guo
  • Quart. Appl. Math
  • 1993
2 Excerpts

The influence of nonlocal nonlinearities on the long time behavior of solutions of Burgers

  • K. Deng, M. K. Kwong, H. A. Levine
  • equation, Quart. Appl. Math
  • 1992
1 Excerpt

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