Search ETDs:
Comparison of the Korteweg-de Vries (KdV) equation with the Euler equations with irrotational initial conditions
Im, Jeong Sook

2010, Doctor of Philosophy, Ohio State University, Mathematics.
The standard mathematical model for the motion of surface waves in shallow water is the Euler equations for inviscid, incompressible flow, supplemented by free surface conditions. Without known explicit solutions in a simple form, simplifying assumptions are invoked to derive weakly nonlinear models and other variants that describe wave propagation. These models have provided good results in various applications, but their region of validity is not known precisely. The goal in this thesis is to assess the asymptotic errors in the KdV model by computing solutions to Euler’s equations numerically and comparing them with the predictions from the KdV equation directly.
Gregory Baker, PhD (Advisor)
Saleh Tanveer, PhD (Committee Member)
Ching-Shan Chou, PhD (Committee Member)
129 p.

Recommended Citations

Hide/Show APA Citation

Im, J. (2010). Comparison of the Korteweg-de Vries (KdV) equation with the Euler equations with irrotational initial conditions. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

Hide/Show MLA Citation

Im, Jeong Sook. "Comparison of the Korteweg-de Vries (KdV) equation with the Euler equations with irrotational initial conditions." Electronic Thesis or Dissertation. Ohio State University, 2010. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

Hide/Show Chicago Citation

Im, Jeong Sook "Comparison of the Korteweg-de Vries (KdV) equation with the Euler equations with irrotational initial conditions." Electronic Thesis or Dissertation. Ohio State University, 2010. https://etd.ohiolink.edu/

Files

osu1281472399.pdf (8.43 MB) View|Download