Browsing Department of Mathematics (MU) by Thesis Advisor "Walsh, Samuel"
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Largeamplitude solitary water waves with discontinuous vorticity
(University of MissouriColumbia, 2017)Consider a twodimensional body of water with constant density which lies below a vacuum. The ocean bed is assumed to be impenetrable, while the boundary which separates the uid and the vacuum is assumed to be a free ... 
On the sensitivity of the solitary wave profile recovery formula to wave speed noise
(University of MissouriColumbia, 2016)We derive a bound on the error in the recovery of the profile of an irrotational solitary water wave from pressure data given noise in the measurement of the wave speed. First, we prove that Constantin's exact solitary ...