Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations

Language: English

Published by Springer, Palgrave Macmillan Okt 2021, 2021

303083784X / 9783030837846

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This item is printed on demand - Print on Demand Titel. Neuware -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. The convex integration technique, originally developed in the context of differential inclusions, was applied in the groundbreaking work of De Lellis and Székelyhidi to the incompressible Euler equations, leading to infinitely many solutions. This theory was later refined to prove non-uniqueness of solutions of the compressible Euler system, too. These non-uniqueness results all use an ansatz which reduces the equations to a kind of incompressible system to which a slight modification of the incompressible theory can be applied. This book presents, for the first time, a generalization of the De Lellis-Székelyhidi approach to the setting of compressible Euler equations.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 252 pp. Englisch.

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Title
Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations
Author
Simon Markfelder
Publisher
Springer, Palgrave Macmillan Okt 2021
Publication year
2021
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
303083784X
ISBN 13
9783030837846
Item weight
388 grams
Dimensions
235x155x14 mm

buchversandmimpf2000

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