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Small divisor problem in the theory of three-dimensional water gravity waves / [electronic resource] G�erard Iooss, Pavel I. Plotnikov.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 940.Publication details: Providence, R.I. : American Mathematical Society, 2009.Description: 1 online resource (vii, 128 p. : ill.)ISBN:
  • 9781470405540 (online)
Subject(s): Additional physical formats: Small divisor problem in the theory of three-dimensional water gravity waves /DDC classification:
  • 532/.593 22
LOC classification:
  • QA922 .L66 2009
Online resources:
Contents:
Chapter 1. Introduction Chapter 2. Formal solutions Chapter 3. Linearized operator Chapter 4. Small divisors. Estimate of $\mathfrak {L}$-resolvent Chapter 5. Descent method-inversion of the linearized operator Chapter 6. Nonlinear problem. Proof of Theorem 1.3 Appendix A. Analytical study of $G_n$ Appendix B. Formal computation of 3-dimensional waves Appendix C. Proof of Lemma 3.6 Appendix D. Proofs of lemmas 3.7 and 3.8 Appendix E. Distribution of numbers $\{\omega _0 n^2\}$ Appendix F. Pseudodifferential operators Appendix G. Dirichlet-Neumann operator Appendix H. Proof of Lemma 5.8 Appendix I. Fluid particles dynamics
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13393

"Volume 200, number 940 (fifth of 6 numbers )."

Includes bibliographical references (p. 127-128).

Chapter 1. Introduction Chapter 2. Formal solutions Chapter 3. Linearized operator Chapter 4. Small divisors. Estimate of $\mathfrak {L}$-resolvent Chapter 5. Descent method-inversion of the linearized operator Chapter 6. Nonlinear problem. Proof of Theorem 1.3 Appendix A. Analytical study of $G_n$ Appendix B. Formal computation of 3-dimensional waves Appendix C. Proof of Lemma 3.6 Appendix D. Proofs of lemmas 3.7 and 3.8 Appendix E. Distribution of numbers $\{\omega _0 n^2\}$ Appendix F. Pseudodifferential operators Appendix G. Dirichlet-Neumann operator Appendix H. Proof of Lemma 5.8 Appendix I. Fluid particles dynamics

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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