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  • Ginzburg-Landau approximation  (1)
  • Permeability (cuticle)  (1)
  • 1990-1994  (2)
  • 1940-1944
  • 1
    Electronic Resource
    Electronic Resource
    A new estimate for the Ginzburg-Landau approximation on the real axis (1994)
    Springer
    Journal of nonlinear science 4 (1994), S. 23-34 
    Details
    ISSN: 1432-1467
    Keywords: modulation equations ; Ginzburg-Landau approximation ; nonlinear partial differential equations on unbounded domains
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Summary Modulation equations play an essential role in the understanding of complicated systems near the threshold of instability. For scalar parabolic equations for which instability occurs at nonzero wavelength, we show that the associated Ginzburg-Landau equation dominates the dynamics of the nonlinear problem locally, at least over a long timescale. We develop a method which is simpler than previous ones and allows initial conditions of lower regularity. It involves a careful handling of the critical modes in the Fourier-transformed problem and an estimate of Gronwall's type. As an example, we treat the Kuramoto-Shivashinsky equation. Moreover, the method enables us to handle vector-valued problems [see G. Schneider (1992)].
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02430625
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  • 2
    Electronic Resource
    Electronic Resource
    The effect of the environment on the permeability and composition of Citrus leaf cuticles (1990)
    Springer
    Planta 180 (1990), S. 154-165 
    Details
    ISSN: 1432-2048
    Keywords: Citrus ; Cuticle (composition, permeability) ; Lipid (soluble) ; Permeability (cuticle) ; Temperature and cuticle composition ; Wax (cuticle)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract The constituents of the soluble cuticular lipids (SCL) of the leaf blades of Citrus aurantium L. were identified by gas chromatography-mass spectrometry and quantified. Major components were 1-alkanols (C24 to C40), n-alkyl esters (C36 to C56), n-alkanoic acids (C28 to C34), n-alkanes (C22 to C40) and triterpenones, while n-alkanals (C29 to C38), sterols, and alkyl benzenes (molecular weights 260, 274 and 288) made minor contributions. Leaf age and side significantly affected the quantitative composition of SCL. Increased day temperature during the development of leaves led to decreased amounts per unit area of n-alkanes, 1-alkanols, n-alkanoic acids and n-alkyl esters while increased night temperatures resulted in increased amounts of n-alkanes n-alkanoic acids and 1-alkanols. Relative humidity had no effect on the amounts or composition of SCL. The permeability of cuticular membranes to water (described in part I of this paper) and the composition of SCL were not related. A model for the molecular structure of the transport-limiting barrier of plant cuticles and for the transport of water across it is proposed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00193990
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