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Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations

BuchKartoniert, Paperback
242 Seiten
Englisch
Springererschienen am21.10.20211st ed. 2021
This book applies the convex integration method to multi-dimensional compressible Euler equations in the barotropic case as well as the full system with temperature.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR64,19
E-BookPDF1 - PDF WatermarkE-Book
EUR64,19

Produkt

KlappentextThis book applies the convex integration method to multi-dimensional compressible Euler equations in the barotropic case as well as the full system with temperature.
Zusammenfassung
Provides a genuinely compressible convex integration approach

Surveys most results achieved by convex integration

Explains the essentials of hyperbolic conservation laws
Details
ISBN/GTIN978-3-030-83784-6
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2021
Erscheinungsdatum21.10.2021
Auflage1st ed. 2021
ReiheLecture Notes in Mathematics
Seiten242 Seiten
SpracheEnglisch
IllustrationenX, 242 p. 17 illus., 9 illus. in color.
Artikel-Nr.49913914

Inhalt/Kritik

Inhaltsverzeichnis
- Part I The Problem Studied in This Book. - 1. Introduction. - 2. Hyperbolic Conservation Laws. - 3. The Euler Equations as a Hyperbolic System of Conservation Laws. - Part II Convex Integration. - 4. Preparation for Applying Convex Integration to Compressible Euler. - 5. Implementation of Convex Integration. - Part III Application to Particular Initial (Boundary) Value Problems. - 6. Infinitely Many Solutions of the Initial Boundary Value Problem for Barotropic Euler. - 7. Riemann Initial Data in Two Space Dimensions for Isentropic Euler. - 8. Riemann Initial Data in Two Space Dimensions for Full Euler.mehr

Schlagworte

Autor

Simon Markfelder is currently a postdoctoral researcher at the University of Cambridge, United Kingdom. He completed his PhD at the University of Wuerzburg, Germany, in 2020 under the supervision of Christian Klingenberg. Simon Markfelder has published several papers in which he applies the convex integration technique to the compressible Euler equations.
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Markfelder, Simon