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Bibliographic Details
Main Authors: Li, Qianfeng, Wiedemann, Emil
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.03151
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Table of Contents:
  • 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.