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On Wild Solutions to the Compressible Euler System

  • 2025
  • OriginalPaper
  • Chapter
Published in:
Author
Ondřej Kreml
Published in
Stochastics in Fluids
Publisher
Springer Nature Switzerland

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Abstract

This chapter explores the intricacies of the Compressible Euler System, focusing on the challenges posed by hyperbolic conservation laws in multiple dimensions. It delves into the use of convex integration to construct wild solutions, which exhibit complex oscillatory behavior. The chapter also discusses the implications of these findings for selecting physically meaningful solutions, highlighting the limitations of current criteria. Additionally, it examines the role of the vanishing viscosity method as a potential selection criterion. The chapter concludes with a discussion on the broader implications of these findings for the study of inviscid fluid dynamics. Readers will gain insights into the latest research on the Compressible Euler System and the challenges of identifying physically relevant solutions in fluid dynamics.
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next chapter Comparative Study of 2D-2D FEM-FSI and 2D-1D Reduced FD Models for Respiratory Flow Simulation
Title
On Wild Solutions to the Compressible Euler System
Author
Ondřej Kreml
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_1
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