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Filtering by: Subject Equations Remove constraint Subject: Equations Committee Member Dascaliuc, Radu Remove constraint Committee Member: Dascaliuc, Radu 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

  • Persistence of Populations in Environments with an Interface

    Creator:
    Rekow, James A.
    Abstract:
    We model a fish population in a spatial region comprising a marine protected area and a fishing ground separated by an interface. The model assumes conservation of biomass density and takes the form of a reaction diffusion equation with a logistic reaction term. At the interface, in addition to continuity...
    Resource Type:
    Masters Thesis
    Full Text:
    reaction diffusion equation with a logistic reac- tion term. At the interface, in addition to continuity