100 citations · 342 across the 23 of their papers we have counts for
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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.…
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+\…
Global bifurcation for the Whitham equation
Mats Ehrnstrom, Henrik Kalisch
We prove the existence of a global bifurcation branch of -periodic, smooth, traveling-wave solutions of the Whitham equation. It is shown that any subset of solutions in the gl…
Singular solutions of a fully nonlinear 2x2 system of conservation laws
Henrik Kalisch, Darko Mitrovic
Existence and admissibility of -shock type solution is discussed for the following nonconvex strictly hyperbolic system arising in studues of plasmas: \pa_t u + \pa_x \big(\Sfra…