Small divisor problem in the theory of three-dimensional water gravity waves / / Gérard Iooss, Pavel I. Plotnikov
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Iooss Gérard
|
| Titolo: |
Small divisor problem in the theory of three-dimensional water gravity waves / / Gérard Iooss, Pavel I. Plotnikov
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| ©2009 | |
| Descrizione fisica: | 1 online resource (144 p.) |
| Disciplina: | 532.593 |
| Soggetto topico: | Water waves |
| Gravity waves | |
| Multiphase flow - Mathematical models | |
| Pseudodifferential operators | |
| Boundary value problems | |
| Bifurcation theory | |
| Small divisors | |
| Persona (resp. second.): | PlotnikovPavel I. |
| Note generali: | "Volume 200, Number 940 (fifth of 6 numbers )." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""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 I. Fluid particles dynamics""; ""Bibliography"" | |
| Titolo autorizzato: | Small divisor problem in the theory of three-dimensional water gravity waves |
| ISBN: | 1-4704-0554-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910827765403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 200, Number 940.