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math.AP2018
On the local well-posedness for a full dispersion Boussinesq system with surface tension
Henrik Kalisch, Didier Pilod
In this note, we prove local-in-time well-posedness for a fully dispersive Boussinesq system arising in the context of free surface water waves in two and three spatial dimensions.…
math.AP2018★ 37 cited
Existence and Uniqueness of Singular Solutions for a Conservation Law Arising in Magnetohydrodynamics
Henrik Kalisch, Darko Mitrovic, Vincent Teyekpiti
The Brio system is a two-by-two system of conservation laws arising as a simplified model in ideal magnetohydrodynamics (MHD). The system has the form \begin{align*} \partial_t u+\…