Stratified Large-Amplitude Steady Periodic Water Waves with Critical Layers

Susanna V. Haziot

doi:10.1007/s00220-020-03892-0

Stratified Large-Amplitude Steady Periodic Water Waves with Critical Layers

Susanna V. Haziot

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

By means of a conformal mapping and bifurcation theory, we prove the existence of large-amplitude steady stratified periodic water waves, with a density function depending linearly on the streamfunction, which may have critical layers and overhanging profiles. We also provide certain conditions for which these waves cannot overturn.

Original language	English (US)
Pages (from-to)	765-797
Number of pages	33
Journal	Communications In Mathematical Physics
Volume	381
Issue number	2
DOIs	https://doi.org/10.1007/s00220-020-03892-0
State	Published - Jan 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Stratified Large-Amplitude Steady Periodic Water Waves with Critical Layers",

abstract = "By means of a conformal mapping and bifurcation theory, we prove the existence of large-amplitude steady stratified periodic water waves, with a density function depending linearly on the streamfunction, which may have critical layers and overhanging profiles. We also provide certain conditions for which these waves cannot overturn.",

author = "Haziot, \{Susanna V.\}",

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N2 - By means of a conformal mapping and bifurcation theory, we prove the existence of large-amplitude steady stratified periodic water waves, with a density function depending linearly on the streamfunction, which may have critical layers and overhanging profiles. We also provide certain conditions for which these waves cannot overturn.

AB - By means of a conformal mapping and bifurcation theory, we prove the existence of large-amplitude steady stratified periodic water waves, with a density function depending linearly on the streamfunction, which may have critical layers and overhanging profiles. We also provide certain conditions for which these waves cannot overturn.

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U2 - 10.1007/s00220-020-03892-0

DO - 10.1007/s00220-020-03892-0

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JO - Communications In Mathematical Physics

JF - Communications In Mathematical Physics

IS - 2

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Stratified Large-Amplitude Steady Periodic Water Waves with Critical Layers

Abstract

All Science Journal Classification (ASJC) codes

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