Search Constraints

Start Over
Filtering by: Publisher Portland State University Remove constraint Publisher: Portland State University Has journal sim Electronic Journal of Differential Equations Remove constraint Has journal sim: Electronic Journal of Differential Equations

Search Results

  • Diffusion of a single-phase fluid through a general deterministic partially-fissured medium

    Creator:
    Nguetseng, Gabriel, Showalter, Ralph E., and Woukeng, Jean Louis
    Abstract:
    The sigma convergence method was introduced by G. Nguetseng for studying deterministic homogenization problems beyond the periodic setting and extended by him to the case of deterministic homogenization in general deterministic perforated domains. Here we show that this concept can also model such problems in more general domains. We illustrate...
    Resource Type:
    Article
    Full Text:
    ; algebras with mean value; sigma convergence. c©2014 Texas State University - San Marcos. Submitted March

  • Two-scale convergence of a model for flow in a partially fissured medium

    Creator:
    Clark, G. W. and Showalter, R. E.
    Abstract:
    The distributed-microstructure model for the flow of single phase fluid in a partially fissured composite medium due to Douglas-Peszyńska-Showalter [12] is extended to a quasi-linear version. This model contains the geometry of the local cells distributed throughout the medium, the flux exchange across their intricate interface with the imbedded fissure...
    Resource Type:
    Article
    Full Text:
    . Electronic Journal of Differential Equations, 1999(2), 1-20. Texas State University Version of Record

  • Multiscale elliptic-parabolic systems for flow and transport

    Creator:
    Peszyńska, Malgorzata and Showalter, Ralph E.
    Abstract:
    An upscaled elliptic-parabolic system of partial differential equations describing the multiscale flow of a single-phase incompressible fluid and transport of a dissolved chemical by advection and diffusion through a heterogeneous porous medium is developed without the usual assumptions of scale separation. After a review of homogenization results for the traditional...
    Resource Type:
    Article
    Full Text:
    Differential Equations, 2007(147), 1-30. Texas State University Version of Record http