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020 ▼a 9780438065482
035 ▼a (MiAaPQ)AAI10790756
035 ▼a (MiAaPQ)unc:17874
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 620
1001 ▼a Robinson, Quentin A.
24510 ▼a Surface Disturbances Generated by Fluid Flow Past an Obstacle or Over Topography as Predicted by the Korteweg-De Vries and the Euler Equations.
260 ▼a [S.l.]: ▼b The University of North Carolina at Chapel Hill., ▼c 2018.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2018.
300 ▼a 119 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
500 ▼a Advisers: Jeremy L. Marzuola
5021 ▼a Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2018.
520 ▼a The 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
520 ▼a The 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
520 ▼a The 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
520 ▼a The 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
520 ▼a Experiments 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.
590 ▼a School code: 0153.
650 4 ▼a Fluid mechanics.
690 ▼a 0204
71020 ▼a The University of North Carolina at Chapel Hill. ▼b Mathematics.
7730 ▼t Dissertation Abstracts International ▼g 79-11B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0153
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14997602 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 201812 ▼f 2019
990 ▼a ***1012033