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Boussinesq/Boussinesq systems for internal waves with a free surface, and the KdV approximation

Vincent Duchêne — 2012

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We study here some asymptotic models for the propagation of internal and surface waves in a two-fluid system. We focus on the so-called long wave regime for one-dimensional waves, and consider the case of a flat bottom. Following the method presented in [J.L. Bona, T. Colin and D. Lannes, 178 (2005) 373–410] for the one-layer case, we introduce a new family of symmetric hyperbolic models, that are equivalent to the classical Boussinesq/Boussinesq system displayed in [W. Choi and R. Camassa, 313...

L’idée d’un sens commun

Vincent Descombes — 2002

Philosophia Scientiae

This article, which emphasizes the hermeneutic origin of the principle of charity, attempts to resituate the contemporary theories within a tradition of reflection about the anthropological problem (how can we claim to reach an understanding of other types of human lives?). These doctrines actually propose a philosophy of common sense, in other words a solution to the problem of exercising rationality. Due to a failure to relate this common sense to any particular form of social life, these doctrines...

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