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  • Boltzmann equation  (2)
  • Cell wall (Chlamydomonas)  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Cell-wall abnormalities of a Chlamydomonas reinhardtii mutant strain under suboptimal growth conditions (1991)
    Springer
    Planta 183 (1991), S. 65-68 
    Details
    ISSN: 1432-2048
    Keywords: Autolysin ; Cell wall (Chlamydomonas) ; Cell cycle (Chlamydomonas) ; Chlamydomonas mutant ; Sporangium (Chlamydomonas)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Sporangia were accumulated in autotrophically and mixotrophically growing cultures of the Chlamydomonas reinhardtii mutant strain ‘ls’ entering the stationary phase. Such an accumulation of sporangia was never observed in stationary-phase cultures of wildtype strains. Sporangia harvested from stationary-phase cultures of the mutant strain ‘ls’ released their zoospores after being resuspended in fresh culture medium. Liberation of zoospores was also observed during fixation of these sporangia with glutaraldehyde and OsO4. Release of zoospores during fixation was prevented by pretreatment with 3 mol·l−1 LiCl. Ultrastructural analyses of these LiCl-pretreated sporangia revealed that they contained abnormal sporangial walls: sporangia containing sporangia and sporangia surrounded by additional multilayered cell walls have been observed. Similar abnormal cell-wall structures were found in sporangia accumulated at the end of the dark period, when the mutant strain ‘ls’ was grown photoautotrophically under a 12 h light-12 h dark regime with suboptimal aeration. When grown under optimal conditions, this particular mutant did not show any abnormal wall structures.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00197568
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    positivity in time dependent linear transport theory (1984)
    Springer
    Acta applicandae mathematicae 2 (1984), S. 311-331 
    Details
    ISSN: 1572-9036
    Keywords: 47D05 ; 82A70 ; 47B55 ; 47G05 ; 35K22 ; 35F15 ; 35C15 ; linear transport theory ; neutron transport equation ; Boltzmann equation ; semigroups ; perturbations ; irreducibility ; collision ; absorption ; scattering ; spectrum ; Dyson-Phillips expansion ; flows
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We present methods using positive semigroups and perturbation theory in the application to the linear Boltzmann equation. Besides being a review, this paper also presents generalizations of known results and develops known methods in a more abstract setting. In Section 1 we present spectral properties of the semigroup operatorsW a(t) of the absorption semigroup and its generatorT a. In Section 2 we treat the full semigroup (W(t);t≧0) as a perturbation of the absorption semigroup. We discuss part of the problems (perturbation arguments and existence of eigenvalues) which have to be solved in order to obtain statements about the large time behaviour ofW(·). In Section 3 we discuss irreducibility ofW(·). In four appendices we present abstract methods used in Sections 1, 2 and 3.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02280857
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Discretized Boltzmann equation: Lattice limit and non-Maxwellian gases (1979)
    Springer
    Journal of statistical physics 21 (1979), S. 649-657 
    Details
    ISSN: 1572-9613
    Keywords: Boltzmann equation ; finite-difference approximation ; lattice limit ; global solutions ; non-Maxwellian gases
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We continue the study of a discrete model of the Boltzmann equation, in which the spatial variable is replaced by a finite periodic lattice. Using a weak compactness criterion forL 1, the existence of a lattice limit as the lattice spacing tends to zero is proved. The case of unbounded collision kernels (non-Maxwellian gases) is also treated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01107907
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    Paper (German National Licenses)
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