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03708aam a2200517 i 4500 001 AF704FD4CF3111EB9A1890BA3BECA4DB 003 SILO 005 20210617010040 008 200613t20202020riu b 000 0 eng 010 $a 2020023139 020 $a 1470440695 020 $a 9781470440695 035 $a (OCoLC)1132241724 040 $a LBSOR/DLC $b eng $e rda $c DLC $d YDXIT $d OCLCF $d YDX $d OCLCO $d STF $d UBY $d BUB $d OCL $d NUI $d SILO 042 $a pcc 100 1 $a Berti, Massimiliano, $e author. 245 10 $a Quasi-periodic standing wave solutions of gravity-capillary water waves / $c Massimiliano Berti, Riccardo Montalto. 264 1 $a Providence, RI : $b American Mathematical Society, $c [2020] 300 $a v, 171 pages ; $c 26 cm. 490 1 $a Memoirs of the American Mathematical Society, $x 0065-9266 ; $v number 1273 504 $a Includes bibliographical references (pages 169-171). 520 $a "We prove the existence and the linear stability of small amplitude time quasiperiodic standing wave solutions (i.e. periodic and even in the space variable x) of a 2-dimensional ocean with infinite depth under the action of gravity and surface tension. Such an existence result is obtained for all the values of the surface tension belonging to a Borel set of asymptotically full Lebesgue measure"-- $c Provided by publisher. 650 0 $a Water waves $x Mathematical models. 650 0 $a Wave equation $x Numerical solutions. 650 0 $a Standing waves. 650 0 $a Kolmogorov-Arnold-Moser theory. 650 0 $a Capillarity. 650 7 $a Wave equation $x Numerical solutions. $2 fast $0 (OCoLC)fst01172870 650 7 $a Water waves $x Mathematical models. $2 fast $0 (OCoLC)fst01172256 650 7 $a Standing waves. $2 fast $0 (OCoLC)fst01131499 650 7 $a Kolmogorov-Arnold-Moser theory. $2 fast $0 (OCoLC)fst01909778 650 7 $a Capillarity. $2 fast $0 (OCoLC)fst00846265 650 7 $a Differential equations, Partial. $2 fast $0 (OCoLC)fst00893484 650 7 $a Wave equation. $2 fast $0 (OCoLC)fst01172869 650 7 $a Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX} -- Incompressible inviscid fluids -- Water waves, gravity waves; dispersion and scattering, nonlinear interaction. $2 msc 650 7 $a Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] -- Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx] -- Perturbations, KAM for inf. $2 msc 650 7 $a Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX} -- Incompressible viscous fluids -- Capillarity (surface tension) [See also 76B45]. $2 msc 650 7 $a Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX] -- Infinite-dimensional Hamiltonian systems [See also 35Axx, 35Qxx] -- Bifurcation problems. $2 msc 650 7 $a Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators [See also 47G30, 58J40] -- Pseudodifferential operators. $2 msc 700 1 $a Montalto, Riccardo, $e author. 773 18 $w 990007620060202771 $g no:31858070694983 880 0 $6 505-00 $a Introduction and main result -- Functional setting -- Transversality properties of degenerate KAM theory -- Nash-Moser theorem and measure estimates -- Approximate inverse -- The linearized operator in the normal directions -- Almost diagonalization and invertibility of LÏ -- The Nash-Moser iteration. 830 0 $a Memoirs of the American Mathematical Society ; $v no. 1273, $x 0065-9266 941 $a 1 952 $l OVUX522 $d 20220317015646.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=AF704FD4CF3111EB9A1890BA3BECA4DBInitiate Another SILO Locator Search