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Filtering by: Subject Cauchy problem -- Numerical solutions Remove constraint Subject: Cauchy problem -- Numerical solutions Degree Name Doctor of Philosophy (Ph.D.) Remove constraint Degree Name: Doctor of Philosophy (Ph.D.) Peer Reviewed No Remove constraint Peer Reviewed: No

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  • A nonlinear shallow water wave equation and its classical solutions of the cauchy problem

    Creator:
    Crow, John A.
    Abstract:
    A nonlinear wave equation is developed, modeling the evolution in time of shallow water waves over a variable topography. As the usual assumptions of a perfect fluid and an irrotational flow are not made, the resulting model equation is dissipative due to the presence of a viscous boundary layer at...
    Resource Type:
    Dissertation
    Full Text:
    and Soholev space embeddings that a long time classical (C2) solution to the Cauchy problem exists

  • Irregular points in wavemaker boundary value problem

    Creator:
    Tanaka, Yoshihiro
    Abstract:
    A global solution is presented that accurately accounts for the singular behavior at all irregular points. The linearized boundary value problem in a semi-infinite strip in the physical plane is transformed into a smooth unit disk by two successive conformal mappings. The global solution results from a Fredholm integral equation...
    Resource Type:
    Dissertation
    Full Text:
    that is a solution to the wavemaker boundary value problem exhibits a singular behavior. One of the