Mathematical Theory of Compressible Fluids on Moving Domains

This monograph presents the existence and properties of both weak and strong solutions to the problems of the flow of a compressible fluid in a domain whose motion is prescribed. Chapters build upon the research of Lions and Feireisl with regards to weak solutions to the compressible version of the...

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Detalles Bibliográficos
Main Authors: Kreml, Ondřej (Author), Mácha, Václav (Author), Nečasová, Šárka (Author), Piasecki, Tomasz (Author), Wróblewska-Kamińska, Aneta (Author)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:inglés
Publicado: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Edición:1st ed. 2025.
Series:Lecture Notes in Mathematical Fluid Mechanics,
Subjects:
Acceso en liña:https://doi.org/10.1007/978-3-031-83324-3
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Table of Contents:
  • Preface
  • Notation, definitions and basic concepts
  • Equations of motion
  • Barotropic viscous fluid with the Dirichlet boundary conditions
  • Barotropic viscous fluid with slip boundary condition
  • Weak-strong uniqueness
  • Existence of strong solutions via energy methods
  • Existence of strong solutions in the Lp - Lq framework
  • The full system
  • Index
  • References.