Wetting barriers

Wetting barriers are edges or lines of a solid surface where different materials meet each other. Typical questions are how much of a fluid rests in a capillary tube or how much can piled up on a glass. We will derive a necessary condition which must be satisfied if a capillary surface hangs on a wetting barrier and if it defines a weak local minimum of the associated energy functional. In general, this functional is not smooth and the set of admissible variations is not a linear space. Then, we derive an eigenvalue criterion which provides a sufficient condition for a given capillary surface to be a weak local minimizer of the associated energy functional. Received: 18 December 2000 / Accepted: 7 June 2001 / Published online: 19 October 2001     

Intervals of 1-Lipschitz aggregation operators, quasi-copulas, and copulas with given affine section

Best lower and upper bounds for 1-Lipschitz aggregation operators with a given affine section are given. These are used to determine best bounds for quasi-copulas and copulas with a given affine section. However, in general there is no greatest copula with a given non-decreasing affine section. These results are used to study (quasi-)copulas with arbitrary affine sections.     

Zur Kenntnis der Vorgänge,welche in einem Kaolin bei allmählich ansteigender Erhitzung in Gegenwart von Luft und anderen Fremdgasen stattfinden

Ohne Zusammenfassung 121. Mitteilung H. Kappel und G. F. Hüttig, Kolloid-Z.91, 117 (1940); 119. Mitteilung G. F. Hüttig und H. Kappel, Angew. Chem.53, 57 (1940). Wir sind der Deutschen Forschungsgemeinschaft und dem Reichsamt für Wirtschaftsausbau zu gro?em Danke verpflichtet, da? sie uns durch ihre Unterstützung erm?glichten, die vorliegenden Untersuchungen zum Abschlu? zu bringen.     

Beitrag zur Kenntnis der Goldsole

Ohne Zusammenfassung