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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Annali di matematica pura ed applicata 168 (1995), S. 219-235 
    ISSN: 1618-1891
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Description / Table of Contents: Abstract We consider mathematical models of evolution which are conservative and include in the simplest case, an equation describing the unidirectional propagation of weakly nonlinear, dispersive long waves suffering disturbances due to the possible unevennes of the botton surface. Our main result gives rates of decay of the amplitude in terms of the «alterations» of the bottom surface.
    Notes: Resumo Consideramos modelos matemáticos de evolução do tipo conservativo sendo que um deles descreve a propagação unidirectional de ondas (fracamente) não- lineares e dispersivas as quais sofrem disturbios devido a possibilidade de o fundo do canal não ser raso. Nosso resultado central neste trabalho estabelece taxas de decaimento da amplitude em termos das «alteraçōes» no fundo do canal.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester, West Sussex : Wiley-Blackwell
    Mathematical Methods in the Applied Sciences 19 (1996), S. 699-716 
    ISSN: 0170-4214
    Keywords: Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: We consider the system of elastic waves in three dimensions under the presence of an impurity of the medium which we represent by a real-valued function q(x) (or q(x,t)). The medium is assumed to be isotropic and occupies the whole space Ω = ∝3. We study the location of the scattering frequencies associated with such phenomenon. We conclude that there is a large region on the complex plane which is free of scattering frequencies. In the remaining region they are discrete provided that q satisfies suitable assumptions concerning its behaviour at infinity.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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