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  • exponential decay  (3)
  • Burkard sporetrap  (2)
  • Springer  (5)
  • 1
    Electronic Resource
    Electronic Resource
    Decay rates for viscoelastic plates with memory (1996)
    Springer
    Journal of elasticity 44 (1996), S. 61-87 
    Details
    ISSN: 1573-2681
    Keywords: 35B40 ; 35L05 ; 35L70 ; viscoelasticity ; exponential decay ; initial boundary value problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract We consider the viscoelastic plate equation and we prove that the first and second order energies associated with its solution decay exponentially provided the kernel of the convolution also decays exponentially. When the kernel decays polynomially then the energy also decays polynomially. More precisely if the kernel g satisfies g(t) ⩽ -c0g(t)1+1/p and g,g1+1/p ∈ L1(ℝ) with p 〉 2, then the energy decays as 1/(1+t)p.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00042192
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  • 2
    Electronic Resource
    Electronic Resource
    The Transmission Problem of Viscoelastic Waves (2000)
    Springer
    Acta applicandae mathematicae 62 (2000), S. 1-21 
    Details
    ISSN: 1572-9036
    Keywords: transmission problem ; exponential decay ; partially viscoelastic ; materials with memory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we consider the transmission problem of viscoelastic waves. That is, we study the wave propagations over materials consisting of elastic and viscoelastic components. We show that for this types of materials the dissipation produced by the viscoelastic part is strong enough to produce exponential decay of the solution, no matter how small is its size. We also show that the linear model is well posed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006449032100
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  • 3
    Electronic Resource
    Electronic Resource
    Uniform Rates of Decay in Anisotropic Thermo-Viscoelasticity (1998)
    Springer
    Acta applicandae mathematicae 50 (1998), S. 207-224 
    Details
    ISSN: 1572-9036
    Keywords: viscoelasticity ; exponential decay ; initial boundary-value problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider the anisotropic and inhomogeneous thermo-viscoelastic equation. We prove that the first and second-order energy decay exponentially as time goes to infinity provided the relaxation function also decays exponentially to zero. While if the relaxation functions decay polynomially to zero, then the energy decays also polynomially. That is, the kernel of the convolution defines the rate of decay of the solution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1005830811242
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  • 4
    Electronic Resource
    Electronic Resource
    Sampling in aerobiology. Differences between traverses along the length of the slide in Hirst sporetraps (1996)
    Springer
    Aerobiologia 12 (1996), S. 161-166 
    Details
    ISSN: 1573-3025
    Keywords: Aerobiology ; Methodology ; Sampling error ; Burkard sporetrap
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Two years of data from four longitudinal traverses along each day's slide prepared from a continuously running Burkard sporetrap have been analyzed statistically. Using the Friedman test, a statistically significant difference was found between the four traverses, with a greater than 7% loss of pollen grains in the two outer traverses in relation to the inner. Four slides were then selected for more detailed analysis, using 18 longitudinal traverses with a 1-mm separation from the upper to the lower edge of the Melinex tape. There was found to be a progressive decline from the centre to the outside, and more than 4% of pollen grains were found outside the typical 14 mm width of the impaction orifice. There was no correlation between pollen grain size and the decline in counts from the centre to the outside. For the complete data set, there was a general rise in the diversity of pollen types with increasing sample counts, but above about 1000 pollen grains per sample there were no more than 27 pollen types found, often even fewer. A discussion is presented of whether four traverses really should be a fixing sample size, or whether it might be better to fix the total pollen count beginning with a traverse in the middle of the slide and ending with a variable number of traverses when that count is reached.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02248144
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  • 5
    Electronic Resource
    Electronic Resource
    Sampling in aerobiology. Differences between traverses along the length of the slide in Hirst sporetraps (1996)
    Springer
    Aerobiologia 12 (1996), S. 161-166 
    Details
    ISSN: 1573-3025
    Keywords: Aerobiology ; Methodology ; Sampling error ; Burkard sporetrap
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract Two years of data from four longitudinal traverses along each day's slide prepared from a continuously running Burkard sporetrap have been analyzed statistically. Using the Friedman test, a statistically significant difference was found between the four traverses, with a greater than 7% loss of pollen grains in the two outer traverses in relation to the inner. Four slides were then selected for more detailed analysis, using 18 longitudinal traverses with a 1-mm separation from the upper to the lower edge of the Melinex tape. There was found to be a progressive decline from the centre to the outside, and more than 4% of pollen grains were found outside the typical 14 mm width of the impaction orifice. There was no correlation between pollen grain size and the decline in counts from the centre to the outside. For the complete data set, there was a general rise in the diversity of bollen types with increasing sample counts, but above about 1000 pollen grains per sample there were no more than 27 pollen types found, often even fewer. A discussion is presented of whether four traverses really should be a fixing sample size, or whether it might be better to fix the total pollen count beginning with a traverse in the middle of the slide and ending with a variable number of traverses when that count is reached.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02447407
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