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Record Nr. |
UNINA9910827765403321 |
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Autore |
Iooss Gérard |
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Titolo |
Small divisor problem in the theory of three-dimensional water gravity waves / / Gérard Iooss, Pavel I. Plotnikov |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (144 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 200, Number 940 |
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Disciplina |
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Soggetti |
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Water waves |
Gravity waves |
Multiphase flow - Mathematical models |
Pseudodifferential operators |
Boundary value problems |
Bifurcation theory |
Small divisors |
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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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"Volume 200, Number 940 (fifth of 6 numbers )." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""3.3. Main orders of the diffeomorphism and coefficient v""""Chapter 4. Small Divisors. Estimate of L � Resolvent""; ""4.1. Proof of Theorem 4.10""; ""Chapter 5. Descent Method-Inversion of the Linearized Operator""; ""5.1. Descent method""; ""5.2. Proof of Theorem 5.1""; ""5.3. Verification of assumptions of Theorem 5.1""; ""5.4. Inversion of L""; ""Chapter 6. Nonlinear Problem. Proof of Theorem 1.3""; ""Appendix A. Analytical study of G[sub(n)]""; ""A.1. Computation of the differential of G[sub(n)]""; ""A.2. Second order Taylor expansion of G[sub(n)] in n = 0"" |
""Appendix B. Formal computation of 3-dimensional waves""""B.1. Formal Fredholm alternative""; ""B.2. Bifurcation equation""; ""Appendix C. Proof of Lemma 3.6""; ""Appendix D. Proofs of Lemmas 3.7 and 3.8""; ""Appendix E. Distribution of Numbers {Ï?[sub(0)]n[sup(2)]}""; ""Appendix F. Pseudodifferential Operators""; ""Appendix G. Dirichlet-Neumann Operator""; ""Appendix H. Proof of Lemma 5.8""; ""Appendix |
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