02835nam 2200589 450 991078889930332120170918221728.01-4704-0691-8(CKB)3360000000464465(EBL)3113596(SSID)ssj0000888913(PQKBManifestationID)11523058(PQKBTitleCode)TC0000888913(PQKBWorkID)10881930(PQKB)10398796(MiAaPQ)EBC3113596(RPAM)932819(PPN)195411633(EXLCZ)99336000000046446519830223h19831983 uy| 0engur|n|---|||||txtccrThe existence of multi-dimensional shock fronts /Andrew MajdaProvidence, R.I., USA :American Mathematical Society,[1983]©19831 online resource (101 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 281Description based upon print version of record.0-8218-2281-0 Bibliography: pages 93.""TABLE OF CONTENTS""; ""Â0. INTRODUCTION""; ""Â1. STRUCTURAL CONDITIONS AND SHOCK FRONT INITIAL DATA: SOME PRELIMINARY FACTS""; ""Â2. THE MAP TO A FIXED DOMAIN, COMPATIBILITY CONDITIONS, AND AN APPROXIMATE SOLUTION""; ""2.A Reformulation by Mapping to a Fixed Domain""; ""2.B Derivation of the Higher Order Compatibility Conditions""; ""2.C Large Classes of Initial Data Satisfying the Compatibility Solution""; ""2.D Construction of an Approximate Solution""; ""Â3. THE ITERATION SCHEME""; ""Â4. CONVERGENCE OF THE ITERATION SCHEME""""Â4.A High Norm Boundedness â€? The Proof of Proposition 4.1""""Â4.B The Proof of Proposition 4.2""; ""Â5. THE MAIN LINEAR ESTIMATE""; ""APPENDIX. NONLINEAR CALCULUS INEQUALITIES ON SOBOLEV SPACES WEIGHTED WITH TIME""; ""A.A: A Summary of Standard Calculus Inequalities""; ""A.B: Nonlinear Commutator Estimates â€? The Proof of Lemma 5.5""; ""A.C: Estimates for Normal Derivatives â€? Lemma 5.3 and Lemmas 2.2, 2.3, and 3.2""; ""BIBLIOGRAPHY""Memoirs of the American Mathematical Society ;no. 281.Shock wavesDifferential equations, HyperbolicNumerical solutionsConservation laws (Physics)Shock waves.Differential equations, HyperbolicNumerical solutions.Conservation laws (Physics)510 s531/.1133Majda Andrew1949-477021MiAaPQMiAaPQMiAaPQBOOK9910788899303321The existence of multi-dimensional shock fronts3764219UNINA