1.

Record Nr.

UNINA9910828918303321

Autore

Majda Andrew <1949->

Titolo

The stability of multi-dimensional shock fronts / / Andrew Majda

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1983]

©1983

ISBN

1-4704-0685-3

Descrizione fisica

1 online resource (101 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; volume 41, number 275

Disciplina

510 s

532/.0593

Soggetti

Shock waves

Differential equations, Hyperbolic - Numerical solutions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Bibliography: pages 94-95.

Nota di contenuto

""TABLE OF CONTENTS""; ""Â1. INTRODUCTION""; ""Â2. THE LINEARIZATION OF A CURVED SHOCK FRONT: THE MAIN THEOREMS FOR VARIABLE COEFFICIENTS""; ""Â3. A GENERAL DISCUSSION OF THE UNIFORM STABILITY CONDITIONS AND THE PHYSICAL EQUATIONS OF COMPRESSIBLE FLUID FLOW""; ""3.A Conservation Laws in a Single Space Variable and Lax's Shock Inequalities""; ""3.B Some Theoretical Remarks on Uniform Stability""; ""3.C Uniformly Stable Shock Fronts for Isentropic Gas Dynamics in Two Space Dimensions â€?â€? the Proof of Proposition 2""

""3.D The Uniform Stability of Shock Fronts for the Euler Equations of Gas Dynamics in Three Dimensions""""Â4. THE BASIC VARIABLE COEFFICIENT ESTIMATE""; ""Â5. THE EXISTENCE AND DIFFERENTIABILITY OF SOLUTIONS""; ""APPENDIX A. PSEUDOâ€?DIFFERENTIAL OPERATORS WITH SOBOLEV SPACE COEFFICEINTS: THE PROOF OF LEMMA 4.2""; ""APPENDIX B. KREISS' SYMMETRIZER AND SOBOLEV SPACE PARAMETERS: LEMMA 4. 3""; ""BIBLIOGRAPHY""