A stochastic parabolic model of MEMS driven by fractional Brownian motion
| العنوان: | A stochastic parabolic model of MEMS driven by fractional Brownian motion |
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| المؤلفون: | Drosinou, Ourania, Nikolopoulos, Christos V., Matzavinos, Anastasios, Kavallaris, Nikos I. |
| المصدر: | Journal of Mathematical Biology. 86 |
| مصطلحات موضوعية: | Biomedical MEMS actuators, Exponential functionals, Fractional noise, Global existence, Quenching, SPDEs, Matematik, Mathematics |
| الوصف: | In this paper, we study a stochastic parabolic problem that emerges in the modeling and control of an electrically actuated MEMS (micro-electro-mechanical system) device. The dynamics under consideration are driven by an one dimensional fractional Brownian motion with Hurst index [Formula: see text]. We derive conditions under which the resulting SPDE has a global in time solution, and we provide analytic estimates for certain statistics of interest, such as quenching times and the corresponding quenching probabilities. Our results demonstrate the non-trivial impact of the fractional noise on the dynamics of the system. Given the significance of MEMS devices in biomedical applications, such as drug delivery and diagnostics, our results provide valuable insights into the reliability of these devices in the presence of positively correlated noise. |
| وصف الملف: | electronic |
| URL الوصول: | https://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-94233 https://doi.org/10.1007/s00285-023-01897-6 https://kau.diva-portal.org/smash/get/diva2:1749906/FULLTEXT01.pdf |
| قاعدة البيانات: | SwePub |
Find this article in full text from Springer Verlag. | تدمد: | 03036812 14321416 |
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| DOI: | 10.1007/s00285-023-01897-6 |