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Displaying similar documents to “Remarks on balance laws in electromagnetism”

Simulation of electrostatic field in electrospinning of polymer nanofibers

Y. Li, X. Zhang, E. Trudick, G.G. Chase (2015)

Nanoscale Systems: Mathematical Modeling, Theory and Applications

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Electrospinning is a popular process for fabricating submicron diameter gibers. The process applies a strong electric gield to launch a polymer jet that elongates to create the gine gibers. The jet dries as the solvent evaporates and the dried giber collects on a grounded surface. Most of electrospinning literatures focus the polymer solution compositions and the properties of the produced gibers. Less attention is applied to the electrostatic gield geometries and operating conditions....

The Effect of Crystal-Melt Surface Energy on the Stability of Ultra-Thin Melt Films

M. Beerman, L. N. Brush (2008)

Mathematical Modelling of Natural Phenomena

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The stability and evolution of very thin, single component, metallic-melt films is studied by analysis of coupled strongly nonlinear equations for gas-melt (GM) and crystal-melt (CM) interfaces, derived using the lubrication approximation. The crystal-melt interface is deformable by freezing and melting, and there is a thermal gradient applied across the film. Linear analysis reveals that there is a maximum applied far-field temperature in the gas, beyond which there is no film instability....

First variation of the general curvature-dependent surface energy

Günay Doğan, Ricardo H. Nochetto (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider general surface energies, which are weighted integrals over a closed surface with a weight function depending on the position, the unit normal and the mean curvature of the surface. Energies of this form have applications in many areas, such as materials science, biology and image processing. Often one is interested in finding a surface that minimizes such an energy, which entails finding its first variation with respect to perturbations of the surface. We present a concise...