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Linking The Dimensions

A. Helfrich-Schkarbanenko[1], M. Mitschele[2], S. Ritterbusch[1], and V. Heuveline[1]
[1]Engineering Mathematics and Computing Lab (EMCL), Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany
[2]Institute for Analysis, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany

We consider a 3D boundary value problem arising in electrostatics. The potential is stimulated by current sources placed on a cross-section S of the domain. In many applications it is sufficient to know the potential in S. So, one is interested in an appropriate 2D model taking into account that the solution depends on the dimension of the domain. The idea is to find a corresponding 2D ...

The Effect of the Dispersion Term on Flux of a Fluid in Permeable Media

O. Toscanelli, and V. Colla
Scuola Superiore S. Anna
Pontedera, Italy

The flux of a fluid in permeable media can be modelled using a continuous. To link the real system with the continuous model is mandatory to realize a suitable average of the equations and of the variables. The dispersion term comes from this averaging but it is not only a mathematical product of the modelling. The dispersion is due to the intrinsic geometry of the permeable media that forces ...

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