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Filtering by: Subject Wave equations -- Numerical solutions Remove constraint Subject: Wave equations -- Numerical solutions Decade 2010-2019 Remove constraint Decade: 2010-2019

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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:
    viscosity υ. The solution is obtained in the space of tempered distributions on R3 given an initial

  • Operator splitting methods for Maxwell's equations in dispersive media

    Creator:
    Keefer, Olivia A.
    Abstract:
    Accurate modeling and simulation of wave propagation in dispersive dielectrics such as water, human tissue and sand, among others, has a variety of applications. For example in medical imaging, electromagnetic waves are used to interrogate human tissue in a non-invasive manner to detect anomalies that could be cancerous. In non-destructive...
    Resource Type:
    Masters Thesis
    Full Text:
    of the exact solution and the numerical method. . . . . . 37 3.14 Time evolution of Ex at the point