Franklin

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

Author/Creator:
Majda, Andrew, 1949- author.
Publication:
Providence, Rhode Island : American Mathematical Society, [1983]
Format/Description:
Book
1 online resource (101 p.)
Series:
Memoirs of the American Mathematical Society ; v. 41, no. 275.
Memoirs of the American Mathematical Society, 0065-9266 ; volume 41, number 275
Status/Location:
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Details

Subjects:
Shock waves.
Differential equations, Hyperbolic -- Numerical solutions.
Form/Genre:
Electronic books.
Language:
English
Contents:
""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""
Notes:
Description based upon print version of record.
Bibliography: pages 94-95.
Description based on print version record.
ISBN:
1-4704-0685-3