TY  - BOOK
AU  - Majda,Andrew
TI  - Stability of Multi-Dimensional Shock Fronts
T2  - Memoirs of the American Mathematical Society
SN  - 9781470406851
AV  - QC168.85.S45 -- M35 1983eb 
U1  - 510 s;532/.0593 
PY  - 1982///
CY  - Providence
PB  - American Mathematical Society
KW  - Shock waves
KW  - Differential equations, Hyperbolic -- Numerical solutions
KW  - Electronic books
N1  - Intro -- TABLE OF CONTENTS -- 1. INTRODUCTION -- 2. THE LINEARIZATION OF A CURVED SHOCK FRONT: THE MAIN THEOREMS FOR VARIABLE COEFFICIENTS -- 3. 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 -- the Proof of Proposition 2 -- 3.D The Uniform Stability of Shock Fronts for the Euler Equations of Gas Dynamics in Three Dimensions -- 4. THE BASIC VARIABLE COEFFICIENT ESTIMATE -- 5. THE EXISTENCE AND DIFFERENTIABILITY OF SOLUTIONS -- APPENDIX A. PSEUDO-DIFFERENTIAL OPERATORS WITH SOBOLEV SPACE COEFFICEINTS: THE PROOF OF LEMMA 4.2 -- APPENDIX B. KREISS' SYMMETRIZER AND SOBOLEV SPACE PARAMETERS: LEMMA 4. 3 -- BIBLIOGRAPHY
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113573
ER  -