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  • 1
    Electronic Resource
    Electronic Resource
    Infinitesimal Rigidity of Convex Polytopes (1999)
    Springer
    Discrete & computational geometry 22 (1999), S. 177-192 
    Details
    ISSN: 1432-0444
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract. Aleksandrov [1] proved that a simple convex d -dimensional polytope, d ≥ 3 , is infinitesimally rigid if the volumes of its facets satisfy a certain assumption of stationarity. We extend this result by proving that this assumption can be replaced by a stationarity assumption on the k -dimensional volumes of the polytope's k -dimensional faces, where k ∈{1,. . .,d-1} .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00009453
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Quantitative study of laterally inhomogeneous wetting films (1999)
    Springer
    The European physical journal 10 (1999), S. 767-779 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 68.45.Gd Wetting - 68.10.-m Fluid surfaces and fluid-fluid interfaces - 82.65.Dp Thermodynamics of surfaces and interfaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Based on a microscopic density functional theory we calculate the internal structure of the three-phase contact line between liquid, vapor, and a confining wall as well as the morphology of liquid wetting films on a substrate exhibiting a chemical step. We present a refined numerical analysis of the nonlocal density functional which describes the interface morphologies and the corresponding line tensions. These results are compared with those predicted by a more simple phenomenological interface displacement model. Except for the case that the interface exhibits large curvatures, we find that the interface displacement model provides a quantitatively reliable description of the interfacial structures.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510050907
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    Paper (German National Licenses)
    Fulltext
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