LEADER 03236nam 2200685 450 001 9910827765403321 005 20180731044628.0 010 $a1-4704-0554-7 035 $a(CKB)3360000000465124 035 $a(EBL)3114072 035 $a(SSID)ssj0000889214 035 $a(PQKBManifestationID)11502926 035 $a(PQKBTitleCode)TC0000889214 035 $a(PQKBWorkID)10876274 035 $a(PQKB)11122246 035 $a(MiAaPQ)EBC3114072 035 $a(RPAM)15646571 035 $a(PPN)195418298 035 $a(EXLCZ)993360000000465124 100 $a20150416h20092009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSmall divisor problem in the theory of three-dimensional water gravity waves /$fGe?rard Iooss, Pavel I. Plotnikov 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009. 210 4$dİ2009 215 $a1 online resource (144 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 200, Number 940 300 $a"Volume 200, Number 940 (fifth of 6 numbers )." 311 $a0-8218-4382-6 320 $aIncludes bibliographical references. 327 $a""3.3. Main orders of the diffeomorphism and coefficient v""""Chapter 4. Small Divisors. Estimate of L a??? 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"" 327 $a""Appendix B. Formal computation of 3-dimensional waves""""B.1. Formal Fredholm alternative""; ""B.2. Bifurcation equation""; ""Appendix C. Proof of Lemma 3.6""; ""Appendix D. Proofs of Lemmas 3.7 and 3.8""; ""Appendix E. Distribution of Numbers {I??[sub(0)]n[sup(2)]}""; ""Appendix F. Pseudodifferential Operators""; ""Appendix G. Dirichlet-Neumann Operator""; ""Appendix H. Proof of Lemma 5.8""; ""Appendix I. Fluid particles dynamics""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 200, Number 940. 606 $aWater waves 606 $aGravity waves 606 $aMultiphase flow$xMathematical models 606 $aPseudodifferential operators 606 $aBoundary value problems 606 $aBifurcation theory 606 $aSmall divisors 615 0$aWater waves. 615 0$aGravity waves. 615 0$aMultiphase flow$xMathematical models. 615 0$aPseudodifferential operators. 615 0$aBoundary value problems. 615 0$aBifurcation theory. 615 0$aSmall divisors. 676 $a532.593 700 $aIooss$b Ge?rard$021040 702 $aPlotnikov$b Pavel I. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827765403321 996 $aSmall divisor problem in the theory of three-dimensional water gravity waves$94112194 997 $aUNINA