Stability of Multi-Dimensional Shock Fronts.

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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.