An extended linear shallow-water equation
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DOI: 10.1017/jfm.2019.555
Abstract: An extension to the classical shallow-water equation (SWE) is derived that exactly satisfies the bed condition and can be regarded as an approximation to wave scattering at the next order in the small parameter $(h/\unicode[STIX]{x1D706})^{2}$… read more here.
Keywords: water; wave scattering; swe; water equation ... See more keywords
The dynamic properties of solutions for a nonlinear shallow water equation
Sign Up to like & getrecommendations! Published in 2019 at "Boundary Value Problems"
DOI: 10.1186/s13661-019-1281-2
Abstract: The local well-posedness for the Cauchy problem of a nonlinear shallow water equation is established. The wave-breaking mechanisms, global existence, and infinite propagation speed of solutions to the equation are derived under certain assumptions. In… read more here.
Keywords: nonlinear shallow; dynamic properties; water equation; equation ... See more keywords