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Record Nr. |
UNINA9910788899303321 |
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Autore |
Majda Andrew <1949-> |
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Titolo |
The existence of multi-dimensional shock fronts / / Andrew Majda |
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Pubbl/distr/stampa |
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Providence, R.I., USA : , : American Mathematical Society, , [1983] |
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©1983 |
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ISBN |
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Descrizione fisica |
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1 online resource (101 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 281 |
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Disciplina |
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Soggetti |
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Shock waves |
Differential equations, Hyperbolic - Numerical solutions |
Conservation laws (Physics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Nota di contenuto |
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""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"" |
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