54 citations · 299 across the 38 of their papers we have counts for
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math.AP2016★ 20 cited
Stability properties of the Euler-Korteweg system with nonmonotone pressures
Jan Giesselmann, Athanasios E. Tzavaras
We establish a relative energy framework for the Euler-Korteweg system with non-convex energy. This allows us to prove weak-strong uniqueness and to show convergence to a Cahn-Hill…
math.NA2016★ 6 cited
A posteriori analysis for dynamic model adaptation in convection dominated problems
Jan Giesselmann, Tristan Pryer
In this work we present an a posteriori error indicator for approximation schemes of Runge-Kutta-discontinuous-Galerkin type arising in applications of compressible fluid flows. Th…
math.AP2016
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary
Jan Giesselmann, Philippe G. LeFloch
We study nonlinear hyperbolic conservation laws posed on a differential (n+1)-manifold with boundary referred to as a spacetime, and defined from a prescribed flux field of n-forms…