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Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations

Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations

Paperback

Series: Lecture Notes in Mathematics, Book 2294

General MathematicsPhysics

ISBN10: 303083784X
ISBN13: 9783030837846
Publisher: Springer
Published: Oct 21 2021
Pages: 242
Weight: 0.79
Height: 0.53 Width: 6.14 Depth: 9.21
Language: English
- 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.

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General Mathematics