A stochastic parabolic model of MEMS driven by fractional Brownian motion

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dc.contributor.authorDrosinou, Ourania
dc.contributor.authorNikolopoulos, Christos V.
dc.contributor.authorMatzavinos, Anastasios
dc.contributor.authorKavallaris, Nikos I.
dc.date.accessioned2025-01-20T20:15:21Z
dc.date.available2025-01-20T20:15:21Z
dc.date.issued2023
dc.description.abstractIn 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 H > 1/2. 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.
dc.description.funderFONDECYT Regular grant
dc.fuente.origenWOS
dc.identifier.doi10.1007/s00285-023-01897-6
dc.identifier.eissn1432-1416
dc.identifier.issn0303-6812
dc.identifier.urihttps://doi.org/10.1007/s00285-023-01897-6
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/92255
dc.identifier.wosidWOS:000968614000001
dc.issue.numero5
dc.language.isoen
dc.revistaJournal of mathematical biology
dc.rightsacceso restringido
dc.subjectFractional noise
dc.subjectExponential functionals
dc.subjectQuenching
dc.subjectGlobal existence
dc.subjectSPDEs
dc.subjectBiomedical MEMS actuators
dc.titleA stochastic parabolic model of MEMS driven by fractional Brownian motion
dc.typeartículo
dc.volumen86
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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