On the everted state of spherical and cylindrical shells
نویسندگان
چکیده
منابع مشابه
On the number of cylindrical shells
Given a set P of n points in three dimensions, a cylindrical shell (or zone cylinder) is formed by two circular cylinders with the same axis such that all points of P are between the two cylinders. We prove that the number of cylindrical shells enclosing P passing through combinatorially different subsets of P has size Ω(n) and O(n) (the previously known bound was O(n)). As a consequence, the m...
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15 صفحه اولNotes on static cylindrical shells
Static cylindrical shells made of various types of matter are studied as sources of the vacuum Levi-Civita metrics. Their internal physical properties are related to the two essential parameters of the metrics outside. The total mass per unit length of the cylinders is always less than 1 4. The results are illustrated by a number of figures.
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چکیده ندارد.
15 صفحه اولCross-code comparisons of mixing during the implosion of dense cylindrical and spherical shells
a r t i c l e i n f o a b s t r a c t We present simulations of the implosion of a dense shell in two-dimensional (2D) spherical and cylindrical geometry performed with four different compressible, Eulerian codes: RAGE, FLASH, CASTRO, and PPM. We follow the growth of instabilities on the inner face of the dense shell. Three codes employed Cartesian grid geometry, and one (FLASH) employed polar ...
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1990
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1040233