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Weak-Strong Uniqueness for a Compressible Fluid-Rigid Body Interaction Problem with General Inflow-Outflow Boundary Data

  • 2025
  • OriginalPaper
  • Chapter
Published in:
Authors
Šárka Nečasová
Ana Radošević
Published in
Stochastics in Fluids
Publisher
Springer Nature Switzerland

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Abstract

This chapter examines the weak-strong uniqueness property for the motion of a rigid body within a viscous, compressible fluid, considering general inflow-outflow boundary conditions. The text begins with an introduction to the problem, defining the domains and boundary conditions, and presenting the compressible Navier-Stokes equations that describe the fluid flow. It then delves into the concept of weak solutions, providing a definition and discussing the existence of such solutions. The chapter also explores strong solutions and the challenges associated with their existence. A significant portion of the text is dedicated to proving the weak-strong uniqueness result, using relative energy inequalities and change of coordinates techniques. The chapter concludes with a brief overview of known results in the field, highlighting recent developments and the state of the art in the theory of compressible fluids and fluid-structure interaction.
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previous chapter Non-Newtonian Compressible Fluids with Stochastic Right-Hand Side
next chapter Calculation of Pressure and Forces in Stochastic Vortex Methods
Title
Weak-Strong Uniqueness for a Compressible Fluid-Rigid Body Interaction Problem with General Inflow-Outflow Boundary Data
Authors
Šárka Nečasová
Ana Radošević
Copyright Year
2025
Book
Stochastics in Fluids

Print ISBN: 978-3-032-02298-1

Electronic ISBN: 978-3-032-02299-8

Copyright Year: 2025

DOI
https://doi.org/10.1007/978-3-032-02299-8_4
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