The existence of multi-dimensional shock fronts / / Andrew Majda

• Autore: Majda Andrew <1949->
• Pubblicazione: Providence, R.I., USA : , : American Mathematical Society, , [1983]; ©1983
• Descrizione fisica: 1 online resource (101 p.)
• Disciplina: 510 s; 531/.1133
• Soggetto topico: Shock waves; Differential equations, Hyperbolic - Numerical solutions; Conservation laws (Physics)
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Bibliography: pages 93.
• Nota di contenuto: ""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""
• Titolo autorizzato: The existence of multi-dimensional shock fronts
• ISBN: 1-4704-0691-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910817126903321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 281.