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Surface Disturbances Generated by Fluid Flow Past an Obstacle or Over Topography as Predicted by the Korteweg-De Vries and the Euler Equations

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서명/저자사항Surface Disturbances Generated by Fluid Flow Past an Obstacle or Over Topography as Predicted by the Korteweg-De Vries and the Euler Equations.
개인저자Robinson, Quentin A.
단체저자명The University of North Carolina at Chapel Hill. Mathematics.
발행사항[S.l.]: The University of North Carolina at Chapel Hill., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항119 p.
기본자료 저록Dissertation Abstracts International 79-11B(E).
Dissertation Abstract International
ISBN9780438065482
학위논문주기Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Advisers: Jeremy L. Marzuola
요약The linearized Euler equations and the forced Korteweg-de Vries equation are investigated analytically and numerically as models for the behavior of the surface of a fluid flowing over topography and past an obstacle. Dispersionless and lineariz
요약The behavior of the dispersionless fKdV equation, which is equivalent to a forced, inviscidBurgers equation, is investigated extensively using the method of characteristics. Exact, analytical solution to the dispersionless, nonlinear approximati
요약The behaviors of the fKdV equation and its variants are investigated and compared for forcing constant in time and forcing with oscillating amplitude and position. A Wentzel, Kramers, Brillouin approximation is given for dispersionless KdV with
요약The Inverse Scattering Transform is investigated as a diagnostic tool for the behavior of the fKdV equation. The numerical results indicate the emergence of negative eigenvalues of the Schrodinger operator correspond with the emergence of solito
요약Experiments are carried out in a water recirculating flume and a wave tank. Phenomena predicted by the equations are observed in the experiments and results are compared quantitatively.
일반주제명Fluid mechanics.
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