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  • Multilocus model  (2)
  • Polymer and Materials Science  (2)
  • 58D30  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Annals of global analysis and geometry 10 (1992), S. 255-261 
    ISSN: 1572-9060
    Keywords: Navier-Stokes equation ; diffeomorphism groups ; geodesic flow ; 58D30 ; 35Q30
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Following Ebin and Marsden the Navier-Stokes equation is viewed as a perturbation of a geodesic flow on the group of volume preserving diffeomorphisms on a compact Riemannian manifold. Existence and uniqueness of bounded solutions for all position time is shown by taking a higher order diffusion term.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 34 (1996), S. 533-555 
    ISSN: 1432-1416
    Keywords: Key words: Frequency dependent selection ; ESS ; Nash equilibrium ; Game dynamics ; Mendelian population ; Multilocus model ; External stability ; Phenotypic stability ; Optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract.  Game theoretical concepts in evolutionary biology have been criticized by populations geneticists, because they neglect such crucial aspects as the mating system or the mode of inheritance. In fact, the dynamics of natural selection does not necessarily lead to a fitness maximum or an ESS if genetic constraints are taken into account. Yet, it may be premature to conclude that game theoretical concepts do not have a dynamical justification. The new paradigm of long-term evolution postulates that genetic constraints, which may be dominant in a short-term perspective, will in the long run disappear in the face of the ongoing influx of mutations. Two basic results (see Hammerstein; this issue) seem to reconcile the dynamical approach of long-term population genetics with the static approach of evolutionary game theory: (1) only populations at local fitness optima (Nash strategies) can be long-term stable; and (2) in monomorphic populations, evolutionary stability is necessary and sufficient to ensure long-term dynamic stability. The present paper has a double purpose. On the one hand, it is demonstrated by fairly general arguments that the scope of the results mentioned above extends to non-linear frequency dependent selection, to multiple loci, and to quite general mating systems. On the other hand, some limitations of the theory of long-term evolution will also be stressed: (1) there is little hope for a game theoretical characterization of stability in polymorphic populations; (2) many interesting systems do not admit long-term stable equilibria; and (3) even if a long-term stable equilibrium exists, it is not at all clear whether and how it is attainable by a series of gene substitution events.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 34 (1996), S. 533-555 
    ISSN: 1432-1416
    Keywords: Frequency dependent selection ; ESS ; Nash equilibrium ; Game dynamics ; Mendelian population ; Multilocus model ; External stability ; Phenotypic stability ; Optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Game theoretical concepts in evolutionary biology have been criticized by populations geneticists, because they neglect such crucial aspects as the mating system or the mode of inheritance. In fact, the dynamics of natural selection does not necessarily lead to a fitness maximum or an ESS if genetic constraints are taken into account. Yet, it may be premature to conclude that game theoretical concepts do not have a dynamical justification. The new paradigm of long-term evolution postulates that genetic constraints, which may be dominant in a short-term perspective, will in the long run disappera in the face of the ongoing influx of mutations. Two basic results (see Hammerstein; this issue) seem to reconcile the dynamical approach of long-term population genetics with the static approach of evolutionary game theory: (1) only populations at local fitness optima (Nash strategies) can be long-term stable; and (2) in monomorphic populations, evolutionary stability is necessary and sufficient to ensure long-term dynamic stability. The present paper has a double purpose. On the one hand, it is demonstrated by fairly general arguments that the scope of the results mentioned above extends to non-linear frequency dependent selection, to multiple loci, and to quite general mating systems. On the other hand, some limitations of the theory of long-term evolution will also be stressed: (1) there is little hope for a game theoretical characterization of stability in polymorphic populations; (2) many interesting systems do not admit long-term stable equilibria; and (3) even if a long-term stable equilibrium exists, it is not at all clear whether and how it is attainable by a series of gene substition events.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Weinheim [u.a.] : Wiley-Blackwell
    Materials and Corrosion/Werkstoffe und Korrosion 27 (1976), S. 237-240 
    ISSN: 0947-5117
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Steel embrittlement by hydrogen sulfideTensile tests in a pressurized vessel filled with hydrogen sulfide and its mixtures with air or hydrogen show, that at 18 and 130 at hydrogen sulfide produces steel embrittlement in a way comparable to hydrogen; the extent of embrittlement, however, is considerably higher in the case of hydrogen sulphide. Addition of air does not show any influence on embrittlement, while in mixtures with hydrogen embrittlement is less pronounced than under the effect of the pure components. When carrying out such experiments it is necessary to take into account that the experimental apparatus is contaminated by hydrogen sulfide for some time after the experiments, so that during subsequent experiments with pure hydrogen a side effect due to hydrogen sulfide must be expected; this means that in such cases the values obtained are below those obtained for embrittlement in pure hydrogen.
    Notes: Zugversuche in einer Druckkammer, gefüllt mit Schwefelwasserstoff bzw. dessen Gemischen mit Luft oder Wasserstoff zeigen, daß bei Drücken von 18 und 130 at Schwefel-wasserstoff Stahl in der gleichen Weise schädigt wie Wasserstoff; die Wirkung ist jedoch im Falle von Schwefelwasserstoff wesentlich stärker. In den Gemischen mit Luft läßt sich kein Einfluß dieses Zusatzes auf die Versprödung erkennen, während in den Gemischen mit Wasserstoff die Versprödung geringer ist als bei Einwirkung der reinen Komponenten. Bei derartigen Versuchen ist auch zu berücksichtigen, daß die Versuchsapparatur durch Schwefelwasserstoff längere Zeit kontaminiert wird, so daß bei anschließenden Versuchen mit Wasserstoff immer mit einer durch Schwefelwasserstoff bedingten Nebenwirkung zu rechnen ist und die Werte der reinen Wasserstoffversprödung nicht erreicht werden.
    Additional Material: 7 Ill.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Macromolecular Rapid Communications 19 (1998), S. 455-459 
    ISSN: 1022-1336
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Synthesis and living anionic ring-opening polymerization of 1,1-dipropylsilacyclobutane are reported. High molecular weight poly(dipropylsilylenepropylene) up to Mn = 83900 g/mol (SEC/PS standards) with low polydispersity (Mw/Mn = 1.11 to 1.22) was obtained at -20°C. End functionalization of poly-(dipropylsilylenepropylene) with chlorodimethylvinylsilane and synthesis of block copolymers with styrene was achieved. The polymers were characterized with NMR, SEC, MALDI-TOF and DSC.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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