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Complete systems of conservation laws for two-layer shallow water models

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

A well-posedness criterion for a complete system of conservation laws is proposed that assumes maximum compatibility of the convexity domain of the closing conservation law with the domain of hyperbolicity of the model used. This criterion is used to obtain well-posed complete systems of conservation laws for the models of two-layer shallow water with a free-surface (model I) and with a rigid lid (model II).

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Authors
  1. V. V. Ostapenko
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Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 5, pp. 23–32, September–October, 1999.

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Ostapenko, V.V. Complete systems of conservation laws for two-layer shallow water models. J Appl Mech Tech Phys 40, 796–804 (1999). https://doi.org/10.1007/BF02468461

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  • DOI: https://doi.org/10.1007/BF02468461

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