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  • ASTROPHYSICS  (1)
  • Schnackenberg/immobilizer model systems  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Weakly nonlinear stability analyses of one-dimensional Turing pattern formation in activator-inhibitor/immobilizer model systems (1995)
    Springer
    Journal of mathematical biology 33 (1995), S. 771-815 
    Details
    ISSN: 1432-1416
    Keywords: Turing patterns ; CIMA/starch ; Brussellator/immobilizer ; Schnackenberg/immobilizer model systems ; One-dimensional nonlinear stability analyses
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The development of one-dimensional Turing patterns characteristic of the chlorite-iodide-malonic acid/starch reaction as well as analogous Brussellator/immobilizer and Schnackenberg/immobilizer model systems is investigated by means of a weakly nonlinear stability analysis applied to the appropriately scaled governing equations. Then the theoretical predictions deduced from these pattern formation studies are compared with experimental evidence relevant to the Turing diffusive instabilities under examination in order to explain more fully the transition to such stationary symmetry-breaking spatial structures when the temperature or pool species concentrations vary.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00187282
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    Paper (German National Licenses)
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  • 2
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    The effect of suspended particles on Jean's criterion for gravitational instability (1990)
    In:  Other Sources
    Details
    Publication Date: 2019-01-25
    Description: The effect that the proper inclusion of suspended particles has on Jeans' criterion for the self-gravitational instability of an unbounded nonrotating adiabatic gas cloud is examined by formulating the appropriate model system, introducing particular physically plausible equations of state and constitutive relations, performing a linear stability analysis of a uniformly expanding exact solution to these governing equations, and exploiting the fact that there exists a natural small material parameter for this problem given by N sub 1/n sub 1, the ratio of the initial number density for the particles to that for the gas. The main result of this investigation is the derivation of an altered criterion which can substantially reduce Jeans' original critical wavelength for instability. It is then shown that the existing discrepancy between Jeans' theoretical prediction using and actual observational data relevant to the Andromeda nebula M31 can be accounted for by this new criterion of assuming suspended particles of a reasonable grain size and distribution to be present.
    Keywords: ASTROPHYSICS
    Type: NASA, Ames Research Center, The Interstellar Medium in External Galaxies: Summaries of Contributed Papers; p 250-251
    Format: text
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    NASA TECHNICAL REPORTS
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