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- W2910929178 abstract "The main idea of performing transport and field description of electrostatic problems in heterogeneous media of sensors on the two scales through the spatial non-local theorems of the volume averaging theory (VAT) is to provide the means to account for multiple description scale characteristics and requirements. At present time it is the only consistent and reliable theory available for multiscale either1D or 2D, 3D, linear or nonlinear statement tasks. The VAT approach has been successfully applied in the last two decades to a number of difficult problems in fluid mechanics, thermal physics, environmental science in heterogeneous media and in porous media. The present work suggests the mathematical formulation and few solutions for heterogeneous media electrostatic problems based on the VAT averaged homogeneous and inhomogeneous Maxwell's equations along with the potential field equations. Three types of heterogeneous media are addressed for solution:1D layered, capillary media and globular media. The results for capillary type of media were for media made up of random size capillaries in both dilute approximation and with conjugate interacting particulate fields. New types of mathematical models and governing equations for conductive dielectric composites are suggested. Various simplifications have been analyzed and some applications and comparisons with available theoretical approaches are made." @default.
- W2910929178 created "2019-01-25" @default.
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- W2910929178 date "2005-01-01" @default.
- W2910929178 modified "2023-09-23" @default.
- W2910929178 title "THE NON-LOCAL FORMULATION OF ELECTROSTATIC PROBLEMS FOR SENSORS HETEROGENEOUS TWO- OR THREE PHASE MEDIA, THE TWO-SCALE SOLUTIONS AND MEASUREMENT APPLICATIONS" @default.
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