Quasi-periodic standing wave solutions of gravity-capillary water waves [electronic resource] / Massimiliano Berti, Riccardo Montalto.
"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...
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Main Authors: | , |
Format: | Electronic eBook |
Language: | English |
Published: |
Providence, RI :
American Mathematical Society,
2020.
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Series: | Memoirs of the American Mathematical Society,
number 1273 |
Subjects: |
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].
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