Abstract
We prove the existence of both stable and unstable stationary nonspherical shapes for charged, isolated liquid drops of a conducting Newtonian fluid. These shapes are spheroids whose eccentricity is an increasing function of the total charge. We also develop a numerical method based on the Boundary Integral Method in order to compute the stable shapes.
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© 2005 Birkhäuser Verlag Basel/Switzerland
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Betelú, S., Fontelos, M., Kindelán, U. (2005). The Shape of Charged Drops: Symmetrybreaking Bifurcations and Numerical Results. In: Bandle, C., et al. Elliptic and Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 63. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7384-9_6
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DOI: https://doi.org/10.1007/3-7643-7384-9_6
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7249-1
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