Quasi-periodic standing wave solutions of gravity-capillary water waves /

"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...

Full description

Bibliographic Details
Main Authors:	Berti, Massimiliano (Author), Montalto, Riccardo (Author)
Format:	Book
Language:	English
Published:	Providence, RI : American Mathematical Society, 2020
Series:	Memoirs of the American Mathematical Society ; no. 1273 Memoirs of the American Mathematical Society no. 1273
Subjects:	Capillarity > ^A1001088 Capillarity Kolmogorov-Arnold-Moser theory > ^A3864152 Kolmogorov-Arnold-Moser theory Standing waves > ^A1064246 Standing waves Water waves > Mathematical models > ^A2573909 Water waves > Mathematical models Wave equation > Numerical solutions > ^A1074694 Wave equation > Numerical solutions Differential equations, Partial 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 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 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 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 inviscid fluids > Water waves, gravity waves; dispersion and scattering, nonlinear interaction Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX} > Incompressible viscous fluids > Capillarity (surface tension) [See also 76B45] 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 Fluid mechanics {For general continuum mechanics, see 74Axx, or other parts of 74-XX} > Incompressible viscous fluids > Capillarity (surface tension) [See also 76B45] Partial differential equations > Pseudodifferential operators and other generalizations of partial differential operators [See also 47G30, 58J40] > Pseudodifferential operators Partial differential equations > Pseudodifferential operators and other generalizations of partial differential operators [See also 47G30, 58J40] > Pseudodifferential operators Wave equation

Internet

Stanford University

Holdings details from Stanford University
Call Number:	QA3 .A57 NO.1273

University of Chicago

Holdings details from University of Chicago
Call Number:	QA1.A528 no.1273

Princeton University

Holdings details from Princeton University
Call Number:	QA3 .A57 no.1273

University of Pennsylvania