02720nam 2200565 450 991082891830332120170918221656.01-4704-0685-3(CKB)3360000000464459(EBL)3113573(SSID)ssj0000889228(PQKBManifestationID)11499146(PQKBTitleCode)TC0000889228(PQKBWorkID)10876275(PQKB)10152365(MiAaPQ)EBC3113573(RPAM)3279068(PPN)195411579(EXLCZ)99336000000046445919821013h19831983 uy| 0engur|n|---|||||txtccrThe stability of multi-dimensional shock fronts /Andrew MajdaProvidence, Rhode Island :American Mathematical Society,[1983]©19831 online resource (101 p.)Memoirs of the American Mathematical Society,0065-9266 ;volume 41, number 275Description based upon print version of record.0-8218-2275-6 Bibliography: pages 94-95.""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""Memoirs of the American Mathematical Society ;v. 41, no. 275.Shock wavesDifferential equations, HyperbolicNumerical solutionsShock waves.Differential equations, HyperbolicNumerical solutions.510 s532/.0593Majda Andrew1949-477021MiAaPQMiAaPQMiAaPQBOOK9910828918303321The stability of multi-dimensional shock fronts3935928UNINA