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

著者

• Berti, Massimiliano
• Montalto, Riccardo

書誌事項

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

Massimiliano Berti, Riccardo Montalto

（Memoirs of the American Mathematical Society, no. 1273）

American Mathematical Society, c2020

注記

"January 2020, volume 263, number 1273 (third of 7 numbers)"

Includes bibliographical reference (p. 169-171)

内容説明・目次

内容説明

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 for all the values of the surface tension belonging to a Borel set of asymptotically full Lebesgue measure.

目次

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 $\mathcal{L}_{\omega}$ The Nash-Moser iteration Appendix A. Tame estimates for the flow of pseudo-PDEs Bibliography.

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詳細情報

• NII書誌ID(NCID): BB30523982
• ISBN:
  • 9781470440695
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence, R.I.
• ページ数/冊数: v, 171 p.
• 大きさ: 26 cm
• 親書誌ID:
  • BA00035927