Weak-Strong Uniqueness for a Rigid Body Immersed in an Inviscid Compressible Fluid
Analysis of PDEs
2026-03-04 v1
Abstract
We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of a vanishing viscosity limit, we obtain the local-in-time existence of a dissipative measure-valued solution to the model. Moreover, we establish the weak-strong uniqueness property of the obtained measure-valued solution. To our knowledge, this is the first mathematical result on compressible inviscid fluid-structure interaction. The key novel technique is the construction of a suitable approximation of the test function in the weak formulation of the inviscid system, as the space of test functions depends on the viscosity parameter.
Keywords
Cite
@article{arxiv.2603.03151,
title = {Weak-Strong Uniqueness for a Rigid Body Immersed in an Inviscid Compressible Fluid},
author = {Qianfeng Li and Emil Wiedemann},
journal= {arXiv preprint arXiv:2603.03151},
year = {2026}
}