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math.NA2015
New Extended Formulations of Euler-Korteweg Equations Based on a Generalization of the Quantum Bohm Identity
Didier Bresch, Frédéric Couderc, Pascal Noble +1
In this note, we propose an original extended formulation of Euler-Korteweg systems based on a generalization of the quantum Bohm potential identity. This new formulation allows to…
math.NA2013★ 5 cited
Stability theory for difference approximations of some dispersive shallow water equations and application to thin film flows
Pascal Noble, Jean-Paul Vila
In this paper, we study the stability of various difference approximations of the Euler-Korteweg equations. This system of evolution PDEs is a classical isentropic Euler system per…