Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis

By Adrian Constantin. 2011

492 citations recorded by the source corpus.

Subfields: Earth-Surface Processes, Oceanography

View Paper: https://www.semanticscholar.org/paper/ebd71183f02ae2b7281bee89604e0084bcf617ae

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In Earth-Surface Processes

In Oceanography

Citations in the corpus

An Exact, Steady, Purely Azimuthal Equatorial Flow with a Free Surface (2016, background): “, plane Poiseuille flow, Stokes’ unsteady problems, and many more; see Drazin and Riley 2007) and the classical inviscid nonlinear surface wave discovered byGerstner (see Gerstner 1809; Constantin 2011).”
The dynamics of waves interacting with the Equatorial Undercurrent (2015, background): “Recently, explicit nonlinear solutions were obtained in the Lagrangian framework, these being for equatorially-trapped waves (see Constantin 2012, Henry 2013). Correspondingly, solutions for the internal waves have been described in Constantin (2014). However, both these types of solution are restri”
Global bifurcation of steady gravity water waves with critical layers (2014, background): “This is appropriate for the ebb current, while Υ < 0 captures flood currents [10].”
On the modelling of equatorial waves (2012, unknown): “…mass flux, given by m ¼ Z d hðxÞ ðu cÞdz: ð9Þ Note that the first two equations in (8) merely state the fact that the expression y2x þ y2z 2 ðg þ 2wÞyþ ðg 2wcÞzþ 1 r P is constant throughout the layer h(x) < z < d, in analogy with Bernoulli’s law for gravity water waves [see Constantin, 2011].”
Some Nonlinear, Equatorially Trapped, Nonhydrostatic Internal Geophysical Waves (2014, background): “Note that r 5 r0(s) corresponds to the thermocline z 5 h0(x 2 ct, s), so that a particle located initially on the thermocline will always remain there and (7) with i 5 0 therefore holds (see Constantin 2011).”