1.

Record Nr.

UNINA9910827765403321

Autore

Iooss Gérard

Titolo

Small divisor problem in the theory of three-dimensional water gravity waves / / Gérard Iooss, Pavel I. Plotnikov

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2009

©2009

ISBN

1-4704-0554-7

Descrizione fisica

1 online resource (144 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 200, Number 940

Disciplina

532.593

Soggetti

Water waves

Gravity waves

Multiphase flow - Mathematical models

Pseudodifferential operators

Boundary value problems

Bifurcation theory

Small divisors

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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 â€? 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""