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math.AP2026
Weak-strong uniqueness and low Mach number limit for a viscous compressible fluid around a rotating body
Thomas Eiter, Šárka Nečasová, Florian Oschmann
We study the flow of an isothermal compressible Newtonian fluid around a body that performs a (time-independent) rigid motion. We derive a weak-strong uniqueness principle, and sho…
math.AP2026
On the equivalence of generalized solution concepts for systems of hyperbolic conservations laws in fluid dynamics
Thomas Eiter, Robert Lasarzik, Emil Wiedemann
We investigate the relation between several generalized solution concepts for nonlinear PDE systems from fluid dynamics. More precisely, we study measure-valued solutions, dissipat…
math.NA2026
Convergence analysis for a finite-volume scheme for the Euler- and Navier-Stokes-Korteweg system via energy-variational solutions
Thomas Eiter, Jan Giesselmann, Robert Lasarzik +2
We consider a structure-preserving finite-volume scheme for the Euler-Korteweg (EK) and Navier-Stokes-Korteweg (NSK) equations. We prove that its numerical solutions converge to en…