Shape Optimization and Electron Bubbles
نویسندگان
چکیده
منابع مشابه
Shape Optimization and Electron Bubbles
We present an analytical treatment of the shape optimization problem that arises in the study of electron bubbles. The problem is to minimize a weighted sum of a Laplace eigenvalue, volume, and surface area with respect to the shape of the domain. The analysis employs the calculus of moving surfaces and yields surprising conclusions regarding the stability of equilibrium spherical configuration...
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We consider the shape of electron bubbles in liquid helium. Grinfeld and Kojima (Phys. Rev. Lett. 91, 105301, 2003) have shown that the in a certain pressure range the 2S electron bubble is unstable against small distortions with l = 3 and loses its spherical symmetry. We report more detailed calculations of this effect and also study the behavior of the 3S and 2P bubbles. PACS 67.40 · 77.22-d
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ژورنال
عنوان ژورنال: Numerical Functional Analysis and Optimization
سال: 2009
ISSN: 0163-0563,1532-2467
DOI: 10.1080/01630560903123262