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Filtering by: Subject Equations Remove constraint Subject: Equations Committee Member Showalter, Ralph E. Remove constraint Committee Member: Showalter, Ralph E. Rights Statement In Copyright Remove constraint Rights Statement: In Copyright

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  • On existence and uniqueness of weak solutions to the Navier-Stokes equations in R3

    Creator:
    Peterson, Samuel H.
    Abstract:
    This thesis is on the existence and uniqueness of weak solutions to the Navier-Stokes equations in R3 which govern the velocity of incompressible fluid with viscosity ν. The solution is obtained in the space of tempered distributions on R3 given an initial condition and forcing data which are dominated by...
    Resource Type:
    Masters Thesis
    Full Text:
    Navier-Stokes equation was given in a paper by Le Jan and Sznitman[4]. In this thesis, I shall

  • Mathematical treatment and simulation of methane hydrates and adsorption models

    Creator:
    Medina, Francis Patricia
    Abstract:
    In this dissertation we develop mathematical treatment for two important applications: (i) evolution of methane in coalbeds with the associated phenomena of adsorption, and (ii) formation of methane hydrates in seabed. We use simplified models for (i) and (ii) since we are more interested in qualitative properties of the solutions...
    Resource Type:
    Dissertation
    Full Text:
    ). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118 4.17 Numerical solution versus exact solution at time tn for heat equation using 2D semismooth

  • Stochastic analysis of flow and transport in porous media

    Creator:
    Vasylkivska, Veronika S.
    Abstract:
    Random fields are frequently used in computational simulations of real-life processes. In particular, in this work they are used in modeling of flow and transport in porous media. Porous media as they arise in geological formations are intrinsically deterministic but there is significant uncertainty involved in determination of their properties...
    Resource Type:
    Dissertation