03236nam 2200685 450 991082776540332120180731044628.01-4704-0554-7(CKB)3360000000465124(EBL)3114072(SSID)ssj0000889214(PQKBManifestationID)11502926(PQKBTitleCode)TC0000889214(PQKBWorkID)10876274(PQKB)11122246(MiAaPQ)EBC3114072(RPAM)15646571(PPN)195418298(EXLCZ)99336000000046512420150416h20092009 uy 0engur|n|---|||||txtccrSmall divisor problem in the theory of three-dimensional water gravity waves /Gérard Iooss, Pavel I. PlotnikovProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (144 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 200, Number 940"Volume 200, Number 940 (fifth of 6 numbers )."0-8218-4382-6 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 200, Number 940.Water wavesGravity wavesMultiphase flowMathematical modelsPseudodifferential operatorsBoundary value problemsBifurcation theorySmall divisorsWater waves.Gravity waves.Multiphase flowMathematical models.Pseudodifferential operators.Boundary value problems.Bifurcation theory.Small divisors.532.593Iooss Gérard21040Plotnikov Pavel I.MiAaPQMiAaPQMiAaPQBOOK9910827765403321Small divisor problem in the theory of three-dimensional water gravity waves4112194UNINA