The Cauchy-Poisson waves in an inviscid rotating stratified liquid.
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Debnath, Lokenath, Guha, Uma B., Basu, Manjusri (1990)
Journal of Applied Mathematics and Stochastic Analysis
Boussinesq, J. (1872)
Journal de Mathématiques Pures et Appliquées
O. K. Matar, G. M. Sisoev, C. J. Lawrence (2008)
Mathematical Modelling of Natural Phenomena
We study pressure-driven, two-layer flow in inclined channels with high density and viscosity contrasts. We use a combination of asymptotic reduction, boundary-layer theory and the Karman-Polhausen approximation to derive evolution equations that describe the interfacial dynamics. Two distinguished limits are considered: where the viscosity ratio is small with density ratios of order unity, and where both density and viscosity ratios are small. The evolution equations account for the presence of...
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