Multiscale modeling of fluctuations in stochastic elliptic PDE models of nanosensors

DOI10.4310/CMS.2014.v12.n3.a1zbMath1315.35026OpenAlexW2315987879MaRDI QIDQ743929

Christian Ringhofer, Clemens Heitzinger

Publication date: 2 October 2014

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2014.v12.n3.a1

zbMATH Keywords

homogenizationboundary layersmultiscale problemratenanowirefield-effect sensorBioFETlimiting problemstochastic elliptic partial differential equation

Mathematics Subject Classification ID

Applications of statistics in engineering and industry; control charts (62P30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Statistical mechanics of nanostructures and nanoparticles (82D80)

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