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Author:

Berti, Massimiliano, author.

Title:

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

Publisher:

American Mathematical Society,

Copyright Date:

2020

Description:

v, 171 pages ; 26 cm.

Subject:

Water waves--Mathematical models.
Wave equation--Numerical solutions.
Standing waves.
Kolmogorov-Arnold-Moser theory.
Capillarity.
Wave equation--Numerical solutions.
Water waves--Mathematical models.
Standing waves.
Kolmogorov-Arnold-Moser theory.
Capillarity.
Differential equations, Partial.
Wave equation.
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.
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.
Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX} -- Incompressible viscous fluids -- Capillarity (surface tension) [See also 76B45].
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.
Partial differential equations -- Pseudodifferential operators and other generalizations of partial differential operators [See also 47G30, 58J40] -- Pseudodifferential operators.

Other Authors:

Montalto, Riccardo, author.

Notes:

Includes bibliographical references (pages 169-171).

Summary:

"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.

Series:

Memoirs of the American Mathematical Society, 0065-9266 ; number 1273

ISBN:

1470440695
9781470440695

OCLC:

(OCoLC)1132241724

LCCN:

2020023139

Locations:

OVUX522 -- University of Iowa Libraries (Iowa City)