The system of generalized vector equilibrium problems with applications

In this paper, we introduce the system of generalized vector equilibrium problems which includes as special cases the system of generalized implicit vector variational inequality problems, the system of generalized vector variational and variational-like inequality problems and the system of vector equilibrium problems. By using a maximal element theorem, we establish existence results for a solution of these systems. As an application, we derive existence results for a solution of a more general Nash equilibrium problem for vector-valued functions.     

Ultimate turbulent Taylor-Couette flow

The flow structure of strongly turbulent Taylor-Couette flow with Reynolds numbers up to Re(i)=2×10(6) of the inner cylinder is experimentally examined with high-speed particle image velocimetry (PIV). The wind Reynolds numbers Re(w) of the turbulent Taylor-vortex flow is found to scale as Re(w)∝Ta(1/2), exactly as predicted by Grossmann and Lohse [Phys. Fluids 23, 045108 (2011).] for the ultimate turbulence regime, in which the boundary layers are turbulent. The dimensionless angular velocity flux has an effective scaling of Nu(ω)∝Ta(0.38), also in correspondence with turbulence in the ultimate regime. The scaling of Nu(ω) is confirmed by local angular velocity flux measurements extracted from high-speed PIV measurements: though the flux shows huge fluctuations, its spatial and temporal average nicely agrees with the result from the global torque measurements.     

Gehinderte ligandenbewegungen in übergangsmetallkomplexen : V. 1H-NMR-untersuchung der bewegungen des olefinliganden in cyclopentadienyl-mangan-dicarbonyl-tetramethoxyäthylen

The methoxy signals in the ¹H NMR spectrum of cyclopentadienylmanganese dicarbonyl tetramethoxyethylene, C₅H₅Mn(CO)₂[C₂(OCH₃)₄], show a definite temperature-dependence. In CS₂ solution the variations of the signals are observed within a single temperature range, while in toluene-d₈ two regions of change are found to exist. These data are explained on the basis of two mutually independent ligand movements: a hindered rotation of the olefin ligand around the metalligand bond (ΔG³₁₉₄ = 9.8 ± 0.6 kcal/mol), and a hindered movement of the four methoxy groups (ΔG³₂₆₃ = 13.8 ± 0.3 kcal/mol, both in toluene-d₈. Chiral conformations of the ligand are assumed to be formed when the movement of the methoxy substituents ceases.     

Messung der spezifischen Wärme von abschreckend kondensierten Indium-, Blei- und Wismut-Schichten bei tiefer Temperatur

Thin metal films are evaporated onto a cooled Be-foil at 25–32 °K in high vacuum. After condensation the films have a large degree of disorder. The specific heat is measured in the temperature range from 5–8 °K after condensation and after annealing. No differences in the specific heat are found for disordered and annealed In- and Pb-films. The specific heat of amorphous Bi-films, however, is 1.7 times larger than that of crystalline films. The results are discussed together with investigations of disordered films by superconducting tunneling.     

Kooperative Rotationsisomerie in Polymeren

Colloid and Polymer Science - Das Schmelzen von linearen Polymeren wird als Umwandlung vom Kristall in einen Zustand hoher Kinkdichte mit Nahordnung theoretisch beschrieben. Dabei kann die laterale...