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  • 1
    Electronic Resource
    Electronic Resource
    Convergence rates of ergodic limits for semigroups and cosine functions (1978)
    Springer
    Semigroup forum 16 (1978), S. 89-95 
    Details
    ISSN: 1432-2137
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02194616
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Single Phase Flow in Partially Fissured Media (1997)
    Springer
    Transport in porous media 28 (1997), S. 285-306 
    Details
    ISSN: 1573-1634
    Keywords: fissured media ; homogenization ; dual porosity ; modeling ; microstructure ; porous media
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract Totally fissured media in which the individual cells are isolated by the fissure system are effectively described by double porosity models with microstructure. Such models contain the geometry of the individual cells in the medium and the flux across their interface with the fissure system which surrounds them. We extend these results to a dual-permeability model which accounts for the secondary flux arising from direct cell-to-cell diffusion within the solid matrix. Homogenization techniques are used to construct a new macroscopic model for the flow of a single phase compressible fluid through a partially fissured medium from an exact but highly singular microscopic model, and it is shown that this macroscopic model is mathematically well posed. Preliminary numerical experiments illustrate differences in the behaviour of solutions to the partially fissured from that of the totally fissured case.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006562120265
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  • 3
    Electronic Resource
    Electronic Resource
    Diffusion models with microstructure (1991)
    Springer
    Transport in porous media 6 (1991), S. 567-580 
    Details
    ISSN: 1573-1634
    Keywords: Diffusion models ; micro-structure of medium
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract Models of diffusion are presented which recognize the local geometry of individual cells or storage sites and the exchange of flux on the micro-scale of these cells. Such models have been obtained by homogenization, but here we indicate stronger existence-uniqueness results of “parabolic” type can be obtained directly. Connections between these models and their historical development will be described.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00137850
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  • 4
    Electronic Resource
    Electronic Resource
    Asymptotic behavior of solutions of pseudo-parabolic partial differential equations (1971)
    Springer
    Annali di matematica pura ed applicata 90 (1971), S. 241-258 
    Details
    ISSN: 1618-1891
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Consider a solution to a second-order pseudo-parabolic equation with sufficiently smooth time-independent coefficients in a cylindrical domain. If it vanishes on the cylindrical surface for all times and if its restriction to a fixed instant belongs toC 2+a , then its pointwise values decay exponentially as t→∞ while its Dirichlet norm grows expontially as t→−∞. Similar conclusion still hold for solutions to non-homogeneous equations under non-homogeneous boundary conditions provided the free term and the boundary data posses these asymptotic behaviors.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02415050
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  • 5
    Electronic Resource
    Electronic Resource
    A regularization-stabilization technique for nonlinear conservation equation computations (1988)
    New York, NY [u.a.] : Wiley-Blackwell
    Numerical Methods for Partial Differential Equations 4 (1988), S. 165-171 
    Details
    ISSN: 0749-159X
    Keywords: Mathematics and Statistics ; Numerical Methods
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics
    Notes: A regularization procedure for nonlinear conservation equations is introduced and demonstrated to have a stabilizing effect on the numerical solution of the associated approximate problem. Representative results for a least-squares finite-element method are given, and the numerical performance of the stabilization procedure explored. The effect of the regularization term is similar to a local numerical dissipation dependent on the numerical itegration time step.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/num.1690040302
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    Paper (German National Licenses)
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