Global Analysis of the Flows of Fluids with Pressure-Dependent Viscosities

 To describe the flows of fluids over a wide range of pressures, it is necessary to take into account the fact that the viscosity of the fluid depends on the pressure. That the viscosity depends on the pressure has been verified by numerous careful experiments. While the existence of solutions local-in-time to the equations governing the flows of such fluids are available for small, special data and rather unrealistic dependence of the viscosity on the pressure, no global existence results are in place. Our interest here is to establish the existence of weak solutions for spatially periodic three-dimensional flows that are global in time, for a large class of physically meaningful viscosity-pressure relationships. (Accepted May 1, 2002) Published online November 15, 2002 Communicated by S. S. ANTMAN     

N,C10-Überbrückte Morphinalkaloide, 5H-10,13-Iminoethano-phenanthro[4,5-bcd]furan, 2. Mitt.

Summary Following our concept of rather new structural variations in the nitrogen region of morphine alkaloids we describe the first synthesis of N/C-10-bridged tertiary bases.

     

Eine neuc Umlagerung an einem Metathebainon-Derivat mit Cyclohexa-2,5-dienon-Struktur

Zusammenfassung 4-O-Methyl-7,8-dehydro-metathebainon-methin (1) geht in alkalischer Lösung in das Naphthalin-Derivat3 über, das unter Abspaltung von Formiat7 liefert. Das Auftreten von3 kann durch Isolierung von13a nach Reduktion mit NaBH₄ nachgewiesen werden. Die aus3 und7 durch Reduktion erhaltenen Alkohole8a und13a werden in saurer Lösung unter Methanol-Abspaltung zu den 2,3-Dihydro-naphtho[1,8-bc]pyranen9 und14 cyclisiert.

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A new rearrangement of a metathebainone derivative with a cyclohexa-2,5-dienone groupment

4-O-Methyl-7.8-dehydrometathebainonemethine (1) in alkaline solution rearranges to the naphthalene derivative3, which eliminates formiate to give7. The occurrence of3 was confirmed by isolation of13a after reduction with NaBH₄. The hydroxy compounds8a and13a, obtained by reduction, eliminate methanol and cyclize to the 2.3-dihydronaphtho[1.8-bc]pyrans9 and14.

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Mit 2 Abbildungen     

Die katalytische Hydrierung von 14-Brom-codeinon-dimethylacetal

Zusammenfassung Die katalytische Hydrierung von 14-Brom-codeinondimethylacetal (2a) liefert in erster Linie die drei dimeren Neopinon-acetale (bd6,7) und8, sowie Neopinon-dimethylacetal (3b), Dihydro-codeinon-dimethylacetal (9) und (7R)-7-Hydroxyneopinon-dimethylacetal (10). Die Ausbeuten an Dimeren nehmen bei Vergrößerung des Reaktionsvolumens ab. Bei einer besonderen Ausführung der Hydrierung ist9 in 87proz. Ausbeute zugänglich. Die Strukturen und die Konfiguration an C-7 von6,7,8 und3b werden bewiesen und einige Umwandlungsprodukte beschrieben.

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The catalytic hydrogenation of 14-bromo-codeinone dimethyl acetal

The palladium-catalyzed hydrogenation of2a mainly leads to the new dimeric compounds6,7 and8, beside3b,9, and10. The yield of dimeric compounds is decreased by increasing the volume of the solvent. Under certain conditions9 in 87% yield is formed. The structures and the configuration on C-7 of3b,6,7, and8 are also derived.

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Unserem verehrten Lehrer, Herrn Prof. Dr.F. Vieböck, mit den besten Wünschen zum 70. Geburtstag gewidmet.

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Aus der DissertationH. Markut, Univ. Wien 1971.     

Die Methanolyseprodukte von 14-Brom-codeinon-dimethylacetal: (14S)-14-Methoxy-codeinon

Zusammenfassung Beim Erhitzen von 14-Brom-codeinon-dimethylacetal (1) in absol. Methanol mit einer äquivalenten Menge Na₂CO₃ entstehen die drei isomeren Methoxycodeinon-acetale3, 4 und5 sowie die beiden Indolino-codeinonderivate6 und7. Die Strukturen und Konfigurationen der Verbindungen3–6 werden auf Grund der NMR- und IR-Spektren sowie durch Umwandlung in bekannte Verbindungen bewiesen.

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The methanolysis of 14-bromo-codeinone dimethyl acetal

14-Bromocodeinone dimethyl acetal (1) reacts in methanol containing sodium carbonate (0.5 moles) to give the three isomeric methoxycodeinone acetals3, 4, and5 besides the indolino-codeinones6 and7. The structures and configurations of3–6 were established on the basis of NMR- and IR-spectroscopy and by conversion to known compounds.

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Herrn Prof.E. Ziegler mit den besten Wünschen zum 60. Geburtstag gewidmet.     

Guided modes of integrated optical guides. A mathematical study

A waveguide in integrated optics is defined by its refractiveindex. The guide is assumed to be invariant in the propagationdirection while in the transverse direction it is supposed tobe a compact perturbation of an unbounded stratified medium.We are interested in the modes guided by this device, whichare waves with a transverse energy confined in a neighbourhoodof the perturbation. Our goal is to analyse the existence of such guided modes. Underthe assumptions of weak guidance the problem reduces to a two-dimensionaleigenvalue problem for a scalar field. The associated operatoris unbounded, selfadjoint, and bounded from below. Its spectrumconsists of the discrete spectrum corresponding to the guidedmodes and of the essential spectrum corresponding to the radiationmodes. We present existence results of guided modes and an asymptoticstudy at high frequencies, which shows that contrarily to thecase of optical fibers, the number of guided modes can remainbounded. The major tools are the min-max principle and comparisonof results between different eigenvalue problems. The originalityof the present study lies in the stratified character of theunbounded reference medium.     

Zur reaktivität primärer und sekundärer amine bei der nukleophilen substitution. Eine richtigstellung

The products of the reaction of 2,4-dinitrohalobenzenes with diisopropylamine are not generated by dealkylation¹, but by impurities of the reagent.     

Interaction of the mu-opioid receptor with GPR177 (Wntless) inhibits Wnt secretion: potential implications for opioid dependence

Background  

Opioid agonist drugs produce analgesia. However, long-term exposure to opioid agonists may lead to opioid dependence. The analgesic and addictive properties of opioid agonist drugs are mediated primarily via the mu-opioid receptor (MOR). Opioid agonists appear to alter neuronal morphology in key brain regions implicated in the development of opioid dependence. However, the precise role of the MOR in the development of these neuronal alterations remains elusive. We hypothesize that identifying and characterizing novel MOR interacting proteins (MORIPs) may help to elucidate the underlying mechanisms involved in the development of opioid dependence.