Kreml / Mácha / Necasová Mathematical Theory of Compressible Fluids on Moving Domains

1. Auflage 2025
ISBN: 978-3-031-83324-3
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 260 Seiten, eBook

Reihe: Lecture Notes in Mathematical Fluid Mechanics

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 Navier-Stokes system, and extend it to problems on moving domains. The authors also show the existence of strong solutions to the compressible Navier-Stokes system for either a small time interval or small data. The opening chapters introduce the notation, tools, and problems covered in the rest of the book, emphasizing pedagogy and accessibility throughout. will be suitable for graduate students and researchers interested in mathematical fluid mechanics.

Zielgruppe

Research

Autoren/Hrsg.

Kreml, Ondrej

Mácha, Václav

Necasová, Šárka

Necasová, Sárka

Piasecki, Tomasz

Wróblewska-Kaminska, Aneta

Inhaltsverzeichnis

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.