Impacts of noise on quenching of some models arising in MEMS technology
| العنوان: | Impacts of noise on quenching of some models arising in MEMS technology |
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| المؤلفون: | Drosinou, Ourania, Kavallaris, Nikos I., Nikolopoulos, Christos V. |
| المصدر: | European journal of applied mathematics (Print). 34:1209-1241 |
| مصطلحات موضوعية: | Electrostatic MEMS, touchdown, quenching, exponential functionals of Brownian motion, semilinear SPDEs, Matematik, Mathematics |
| الوصف: | In the current work, we study a stochastic parabolic problem. The presented problem is motivated by the study of an idealised electrically actuated MEMS (Micro-Electro-Mechanical System) device in the case of random fluctuations of the potential difference, a parameter that actually controls the operation of MEMS device. We first present the construction of the mathematical model, and then, we deduce some local existence results. Next for some particular versions of the model, relevant to various boundary conditions, we derive quenching results as well as estimations of the probability for such singularity to occur. Additional numerical study of the problem in one dimension follows, which also allows the further investigation the problem with respect to its quenching behaviour. |
| وصف الملف: | electronic |
| URL الوصول: | https://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-91445 https://doi.org/10.1017/s0956792522000262 https://kau.diva-portal.org/smash/get/diva2:1686484/FULLTEXT02.pdf |
| قاعدة البيانات: | SwePub |
| تدمد: | 09567925 14694425 |
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| DOI: | 10.1017/s0956792522000262 |