Double criticality and the two-way Boussinesq equation in stratified shallow water hydrodynamics
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چکیده
منابع مشابه
Double criticality and the two-way Boussinesq equation in stratified shallow water hydrodynamics
Double criticality and its nonlinear implications are considered for stratified N−layer shallow water flows with N = 1, 2, 3. Double criticality arises when the linearization of the steady problem about a uniform flow has a double zero eigenvalue. We find that there are two types of double criticality: non-semisimple (one eigenvector, and one generalized eigenvector), and semi-simple (two indep...
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The Euler’s equations describing the dynamics of capillarygravity water waves in two-dimensions are considered in the limits of small-amplitude and long-wavelength under appropriate boundary conditions. Using a double-series perturbation analysis, a general Boussinesq type of equation is derived involving the small-amplitude and longwavelength parameters. A recently introduced sixth-order Bouss...
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ژورنال
عنوان ژورنال: Physics of Fluids
سال: 2016
ISSN: 1070-6631,1089-7666
DOI: 10.1063/1.4952714