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

The authors prove the existence and the linear stability of small amplitude time quasi-periodic 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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Berti, Massimiliano (Author), Montalto, Riccardo (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, RI : American Mathematical Society, [2020]
Series:Memoirs of the American Mathematical Society ; no. 1273.
Subjects:
Wave equation.
Differential equations, Partial.
Équations d'onde.
Équations aux dérivées partielles.
Ecuaciones diferenciales
Ecuaciones de onda
Mecánica de fluidos
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.
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