3 papers
math.AP2026
Stochastically forced Navier-Stokes equations interacting with an elastic structure
Felix Brandt, Matthias Hieber, Arnab Roy
We prove global-in-time strong pathwise well-posedness for a stochastic fluid-structure interaction problem coupling a two-dimensional incompressible Navier-Stokes fluid to a one-d…
math.AP2026
Local well-posedness for a moving rigid region in Surface Quasi-Geostrophic equations
Ludovic Godard-Cadillac, Arnab Roy
We introduce and analyze a class of Surface Quasi-Geostrophic (SQG) equations in the presence of moving rigid obstacles. The model is motivated both by vortex-wave type asymptotics…
math.AP2025
The Lagrangian approach to the compressible primitive equations
Matthias Hieber, Yoshiki Iida, Arnab Roy +1
This article develops the hydrostatic Lagrangian approach to the compressible primitive equations. A fundamental aspect in the analysis is the investigation of the compressible hyd…