Global existence and quenching for a damped hyperbolic MEMS equation with the fringing field

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Published: Mar 30, 2017
DOI: https://doi.org/10.5556/j.tkjm.48.2017.2136
Keywords:
MEMS damped hyperbolic fringing field local solution global solution quenching

Main Article Content

Tosiya Miyasita

Abstract

We study a damped hyperbolic MEMS equation with the fringing field.It arises in the Micro-Electro Mechanical System(MEMS) devices. We give some criteria for global existence and quenching of the solution.First we establish a time-local solution by a contraction mapping theorem. This procedure is standard.Next we show that there exists a global solution for the small parameter and initial value. Finally, we deal with the quenching result for the large parameter.

Article Details

How to Cite
Miyasita, T. (2017). Global existence and quenching for a damped hyperbolic MEMS equation with the fringing field. Tamkang Journal of Mathematics, 48(1), 31–47. https://doi.org/10.5556/j.tkjm.48.2017.2136
Issue
Vol. 48 No. 1 (2017)
Section
Papers
Author Biography

Tosiya Miyasita

250-201 Imamichi-cho, Kyoto 605-0042, Japan.

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