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  • 1
    Electronic Resource
    Electronic Resource
    The untwisting of a bounded sample of cholesteric liquid crystal (1994)
    Springer
    Continuum mechanics and thermodynamics 6 (1994), S. 141-148 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This article is a theoretical investigation of the untwisting of a cholesteric liquid crystal in a bounded sample with strong anchoring due to an applied magnetic field. Continuum theory and energy comparisons are used to determine graphically the form of the untwisting prior to and including the transition to the nematic phase.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01140895
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Equivalent smectic C liquid crystal energies (1991)
    Springer
    Continuum mechanics and thermodynamics 3 (1991), S. 237-250 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This article describes the relationships between the alternative formulations of the bulk non-chiral smectic C liquid crystal energies currently available in the literature; the relative equivalence of these energies is discussed and demonstrated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01126409
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The electrical untwisting of a homeotropically aligned smectic C* liquid crystal (1995)
    Springer
    Continuum mechanics and thermodynamics 7 (1995), S. 341-356 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This article is concerned with the application of an electric field along the planar layers of a finite sample of ferroelectric smectic C* liquid crystal with strong smectic anchoring at the boundaries. It will be seen by use of continuum theory that above a certain critical field strength it is energetically favourable for the helix to unwind such that the c-director becomes aligned perpendicular to the applied field throughout the sample. This problem is similar to that of untwisting the helical structure of a cholesteric liquid crystal [1], [2]; the differences lie in the symmetry and polarization of the smectic C* phase. Comparison of this work with that detailed in [2] will show that these two factors lead to significant differences in the analysis. The effects of sample width on the minimum field strength required for this untwisting are also examined and an expression is gained for the critical field strength in a large sample. In addition, director reorientation due to a reversal of the applied field is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176293
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    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    The electrical untwisting of a homeotropically aligned smectic C* liquid crystal (1995)
    Springer
    Continuum mechanics and thermodynamics 7 (1995), S. 341-356 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. This article is concerned with the application of an electric field along the planar layers of a finite sample of ferroelectric smectic C* liquid crystal with strong smectic anchoring at the boundaries. It will be seen by use of continuum theory that above a certain critical field strength it is energetically favourable for the helix to unwind such that the c-director becomes aligned perpendicular to the applied field throughout the sample. This problem is similar to that of untwisting the helical structure of a cholesteric liquid crystal [1], [2]; the differences lie in the symmetry and polarization of the smectic C* phase. Comparison of this work with that detailed in [2] will show that these two factors lead to significant differences in the analysis. The effects of sample width on the minimum field strength required for this untwisting are also examined and an expression is gained for the critical field strength in a large sample. In addition, director reorientation due to a reversal of the applied field is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01176293
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    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Density conservation for a coagulation equation (1991)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 42 (1991), S. 746-756 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A Theorem is presented which proves that solutions to the coagulation equation are density conserving whenever certain growth assumptions are made on the coagulation kernel.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00944770
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    The onset of layer deformations in non-chiral smectic C liquid crystals (1994)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 45 (1994), S. 882-898 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In this paper smectic C continuum theory is used to determine, theoretically, the critical electric field strength for the onset of layer deformation in planar layers of smectic C liquid crystal. The particular sample considered is the planar layeredbookshelf geometry. The consequences of the results derived herein are discussed in relation to the measurement of the elastic constants related to layer deformations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00952083
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    On the coagulation-fragmentation equation (1990)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 41 (1990), S. 917-924 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Two Theorems are presented on the subject of non-density conserving solutions to the coagulationfragmentation equation. The first deals with pure coagulation processes and the second with pure fragmentation. A third Theorem provides an asymptotic property for general solutions of the pure fragmentation equation. Some examples of exact solutions are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00945844
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    On the magnetically induced cholesteric to nematic phase transition (1994)
    Springer
    Letters in mathematical physics 31 (1994), S. 261-269 
    Details
    ISSN: 1573-0530
    Keywords: 76A15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract This Letter is concerned with the theoretical investigation of the application of a magnetic field perpendicular to the axis of twist in an infinite sample of cholesteric liquid crystal. We use the continuum theory for cholesterics to determine the forms that the sample may take and distinguish between these by use of energy comparisons. A rigorous mathematical justification of the result by de Gennes is then presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00762788
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels (1989)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 11 (1989), S. 627-648 
    Details
    ISSN: 0170-4214
    Keywords: Mathematics and Statistics ; Applied Mathematics
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: In this article an existence theorem is proved for the coagulation-fragmentation equation with unbounded kernel rates. Solutions are shown to be in the space X+ = {c∊L1: ∫0∞ (1 + x)∣c(x)∣dx 〈 ∞} whenever the kernels satisfy certain growth properties and the non-negative initial data belong to X+. The proof is based on weak L1 compactness methods applied to suitably chosen approximating equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/mma.1670110505
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    Paper (German National Licenses)
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  • 10
    Electronic Resource
    Electronic Resource
    Existence, Uniqueness and Mass Conservation for the Coagulation-Fragmentation Equation (1996)
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 19 (1996), S. 571-591 
    Details
    ISSN: 0170-4214
    Keywords: Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We prove global existence and uniqueness to the initial value problem for the coagulation-fragmentation equation for an unbounded coagulation kernel with possible linear growth at infinity and a fragmentation kernel from a very large class of unbounded functions. We show that the solutions satisfy the mass conservation law.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
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