Multiscale modeling of fluctuations in stochastic elliptic PDE models of nanosensors
Multiscale modeling of fluctuations in stochastic elliptic PDE models of nanosensors
In this work, the multiscale problem of modeling fluctuations in boundary layers in stochastic elliptic partial differential equations is solved by homogenization. A homogenized equation for the covariance of the solution of stochastic elliptic PDEs is derived. In addition to the homogenized equation, a rate for the covariance and variance …