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  • 1
    ISSN: 1420-8989
    Keywords: 73C02 ; 35J45 ; 35Q30 ; 76D07
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The four basic stationary boundary value problems of elasticity for the Lamé equation in a bounded domain of ℝ3 are under consideration. Their solutions are represented in the form of a power series with non-positive degrees of the parameter ω=1/(1–2σ), depending on the Poisson ratio σ. The “coefficients” of the series are solutions of the stationary linearized non-homogeneous Stokes boundary value problems. It is proved that the series converges for any values of ω outside of the minimal interval with the center at the origin and of radiusr≥1, which contains all of the Cosserat eigenvalues.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Chichester, West Sussex : Wiley-Blackwell
    ISSN: 0170-4214
    Keywords: Engineering ; Numerical Methods and Modeling
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: Integral equations associated with the basic boundary value problems for the Laplace and Stokes equations are considered. The integral operators for these integral equations are interpreted as the pseudodifferential operators, and their principal symbols are calculated. The symbols are obtained in terms of the principal curvatures and the coefficients of the first quadratic form of the boundary. As a consequence, the initial approximation is suggested for the iterative methods solving the integral equations. © 1998 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd.
    Type of Medium: Electronic Resource
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