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physics.flu-dyn2026
A data-driven approach for 2D vorticity PDF equations by a new conditional average estimation
Qian Huang, Simon Görtz, Paul Hollmann +3
We consider the statistics for the vorticity field in two-dimensional homogeneous isotropic turbulence (HIT). First, we exploit the invariance properties to derive dimensionally re…
math.AP2026
Convergence of a two-parameter hyperbolic relaxation system toward the incompressible Navier-Stokes equations
Qian Huang, Christian Rohde, Ruixi Zhang
We investigate a two-parameter hyperbolic relaxation approximation to the incompressible Navier-Stokes equations, incorporating a first-order relaxation and the artificial compress…
math.NA2026
Justification of a Relaxation Approximation for the Navier-Stokes-Cahn-Hilliard System
Jan Giesselmann, Jens Keim, Fabio Leotta +1
The Navier-Stokes-Cahn-Hilliard (NSCH) system governs the diffuse-interface dynamics of two incompressible and immiscible fluids. We consider a relaxation approximation of the NSCH…