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  • Springer  (1)
  • Wiley-Blackwell  (1)
Publikationsart
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Erscheinungszeitraum
  • 1
    Digitale Medien
    Digitale Medien
    Weinheim : Wiley-Blackwell
    Macromolecular Theory and Simulations 7 (1998), S. 49-57 
    ISSN: 1022-1344
    Schlagwort(e): Chemistry ; Polymer and Materials Science
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Chemie und Pharmazie , Physik
    Notizen: Mathematical modeling and simulation were carried out to investigate the effects of the surface charge density of seed particles on secondary particle formation and the rate of polymerization in the early stage of emulsifier-free seeded emulsion polymerization of methyl methacrylate. Limited coagulation theory was applied to simulate new particle nucleation. The main factor influencing the capture rate of oligomeric radicals in a growing seed particle was assumed to be the electrostatic repulsion of seed particles. DLVO (Deryagiun-Landau-Verwey-Overbeek) theory was also introduced to estimate the electrical repulsion between seed particles and oligomeric radicals in the aqueous phase. In the case of highly charged seed particles, the adsorption rate of oligomeric radicals in the aqueous phase showed a strong effect on the polymerization rate. The low adsorption of oligomeric radicals results in a low value of the average number of radicals per particle. The surface charge density of seed particles was found to play an important role in limiting the polymerization rate at the beginning of the reaction and even in affecting the formation of secondary particles.
    Zusätzliches Material: 8 Ill.
    Materialart: Digitale Medien
    Standort Signatur Einschränkungen Verfügbarkeit
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  • 2
    Publikationsdatum: 2015-10-30
    Beschreibung: We study the periodic Dirichlet problem for a semilinear wave equation with discontinuous nonlinearity. First we establish a continuation theorem for a semilinear operator equation in a Hilbert space, where a key tool is the Berkovits-Tienari degree theory for a class of perturbations of monotone type of a densely defined closed linear operator. Applying the continuation theorem, we prove the main results on the solvability of the given semilinear wave equation, with the aid of spectral theory for densely defined closed linear operators.MSC: 35L05, 35R05, 47H04, 47H05, 47H11.
    Print ISSN: 1687-2762
    Digitale ISSN: 1687-2770
    Thema: Mathematik
    Publiziert von Springer
    Standort Signatur Einschränkungen Verfügbarkeit
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