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010 a| 2020023139;

020 a| 9781470440695q| (paperback);

020 z| 9781470456559q| (ebook);

035 a| (WaSeSS)ssj0002325190;

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084 a| 76B15a| 37K55a| 76D45a| 37K50a| 35S052| msc;

100 1 a| Berti, Massimiliano.=| ^A760247;

245 10 a| Quasi-periodic standing wave solutions of gravity-capillary water wavesh| [electronic resource] /c| Massimiliano Berti, Riccardo Montalto.;

260 a| Providence, RI :b| American Mathematical Society,c| 2020.;

300 a| v, 171 pages ;c| 26 cm;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| number 1273;

504 a| Includes bibliographical references (pages 169-171).;

506 a| Available only to authorized users.;

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.;

538 a| Mode of access: World Wide Web;

650 0 a| Water wavesx| Mathematical models.=| ^A1065773;

650 0 a| Wave equationx| Numerical solutions.=| ^A314319;

650 0 a| Standing waves.=| ^A965453;

650 0 a| Kolmogorov-Arnold-Moser theory.?| UNAUTHORIZED;

650 0 a| Capillarity.=| ^A97610;

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 interaction2| 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 inf2| 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| Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators [See also 47G30, 58J40] -- Pseudodifferential operators.2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Montalto, Riccardo.?| UNAUTHORIZED;

856 40 z| Full text available from Memoirs of the American Mathematical Societyu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Fwww.ams.org%2Fbooks%2Fmemo%2F1273;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=6176753;

880 0 6| 505-00a| 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 L�œ -- The Nash-Moser iteration.;

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Quasi-periodic standing wave solutions of gravity-capillary water waves / Massimiliano Berti, Riccardo Montalto.

Author/creator	Berti, Massimiliano
Other author	Montalto, Riccardo.
Format	Electronic
Publication Info	Providence, RI : American Mathematical Society, 2020.
Description	v, 171 pages ; 26 cm
Supplemental Content	Full text available from Memoirs of the American Mathematical Society
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Water waves--Mathematical models. Wave equation--Numerical solutions. Standing waves. Kolmogorov-Arnold-Moser theory. Capillarity.

Series	Memoirs of the American Mathematical Society, 0065-9266 ; number 1273
Abstract	"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"-- Provided by publisher.
Bibliography note	Includes bibliographical references (pages 169-171).
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2020023139
ISBN	9781470440695 (paperback)
ISBN	(ebook)

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	Electronic Resources	Online Content Full text available from Memoirs of the American Mathematical Society Full text available from Ebook Central - Academic Complete	✔ Available

Quasi-periodic standing wave solutions of gravity-capillary water waves / Massimiliano Berti, Riccardo Montalto.

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