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  • exponential decay  (3)
  • Holocene  (2)
  • Springer  (5)
  • 1
    Electronic Resource
    Electronic Resource
    Upland vegetation in the north-west Iberian peninsula after the last glaciation: Forest history and deforestation dynamics (1997)
    Springer
    Vegetation history and archaeobotany 6 (1997), S. 215-233 
    Details
    ISSN: 1617-6278
    Keywords: Pollen analysis ; Late-glacial ; Holocene ; Iberian peninsula
    Source: Springer Online Journal Archives 1860-2000
    Topics: Archaeology , Biology
    Notes: Abstract This paper presents the results of pollen analyses from organic sediments of seven cores (299 spectra) in a mountainous area of the north-west Iberian peninsula. The pollen diagrams, supported by seven14C dates, are used to construct a regional pollen sequence covering the main stages of vegetation dynamics, from the last phases of the Late-glacial until the present. During the Late-glacial Interstadial an important development of cryophilous forests (Betula andPinus) was recorded, although various mesophilous and thermophilous tree elements were also present. The Younger Dryas, palynologically clearly defined, is characterized by an important reduction in tree pollen percentages and the expansion of steppe formations (Poaceae andArtemisia). At the beginning of the Holocene, there was an expansion ofQuercus and a spread of other trees, which combined to give a vegetation cover of varied composition but dominated by mixed deciduous forests. Such forest formations prevailed in these mountains until 3000 years ago, when successive deforestation phases are recorded at various times as a result of increased farming activity. The results are compared with data from other mountainous areas in the northern Iberian peninsula and southern France.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01370443
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  • 2
    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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  • 3
    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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  • 4
    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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  • 5
    Electronic Resource
    Electronic Resource
    Differences in the vegetation of the North Iberian Peninsula during the last 16,000 years (1998)
    Springer
    Plant ecology 138 (1998), S. 41-62 
    Details
    ISSN: 1573-5052
    Keywords: Holocene ; Lateglacial ; North Iberian Peninsula ; Pollen analysis ; Vegetation development
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract The dynamics of vegetation in the North Iberian Peninsula have been historically established from peaty and lacustrine records obtained in strongly continental mountainous areas. Pollen records located in areas with a more oceanic climate, have allowed a more precise evaluation of the changes and differences in the vegetation development of the various biogeographical areas in the North Iberian Peninsula, during the Late-glacial and Holocene. It was found that: (1) The vegetation of the Cantabrian–Atlantic province in northern Iberian Peninsula responded to climatic changes during the last 16000 years. (2) Tree vegetation declined during the Oldest Dryas, with steppe vegetation in the interior and cryophilous vegetation along the coast. (3) During the time of the Lateglacial Interestadial, lowlands, arboreal vegetation was dominant in the landscape (Pinus, Betula, Quercus, Corylus). (4) During the Younger Dryas the differences between coast and interior are less obvious. (5) During the Holocene oceanic decidious forests of Quercus robur, Corylus avellana, Tilia sp. and Fagus sylvatica were present along the coast. At low altitudes, in the interior, forests of Quercus robur / pyrenaica, enclaves of pine woods and Mediterranean types of forest (Quercus ilex, Olea europea) were present. At higher altitudes Pinus (P. sylvestris and P. uncinata) or mixed forests of Pinus and Betula were dominant.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009736432739
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