Exact Solution and Instability for Geophysical Waves with Centripetal Forces and at Arbitrary Latitude
The aim of this paper is to provide, in a β -plane approximation with centripetal forces, an explicit three-dimensional nonlinear solution for geophysical waves propagating at an arbitrary latitude, in the presence of a constant underlying background current. This solution is linearly unstable when...
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| Veröffentlicht in: | Journal of mathematical fluid mechanics 2019-06, Vol.21 (2), p.1-16, Article 19 |
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| container_title | Journal of mathematical fluid mechanics |
| container_volume | 21 |
| creator | Chu, Jifeng Ionescu-Kruse, Delia Yang, Yanjuan |
| description | The aim of this paper is to provide, in a
β
-plane approximation with centripetal forces, an explicit three-dimensional nonlinear solution for geophysical waves propagating at an arbitrary latitude, in the presence of a constant underlying background current. This solution is linearly unstable when the steepness of the wave exceeds a specific threshold. |
| doi_str_mv | 10.1007/s00021-019-0423-8 |
| format | Article |
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β
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β
-plane approximation with centripetal forces, an explicit three-dimensional nonlinear solution for geophysical waves propagating at an arbitrary latitude, in the presence of a constant underlying background current. This solution is linearly unstable when the steepness of the wave exceeds a specific threshold.</description><subject>Centripetal force</subject><subject>Classical and Continuum Physics</subject><subject>Fluid mechanics</subject><subject>Fluid- and Aerodynamics</subject><subject>Geophysics</subject><subject>Latitude</subject><subject>Mathematical Methods in Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Slopes</subject><subject>Stability</subject><subject>Theoretical mathematics</subject><subject>Wave propagation</subject><issn>1422-6928</issn><issn>1422-6952</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kEFLAzEQhYMoWKs_wFvA8-oku5tNjqW0tVDwoOIxZJOsTVl3a5JV--9NWdGTpxke73szPISuCdwSgOouAAAlGRCRQUHzjJ-gCSkozZgo6envTvk5ughhB0CqUtAJahZfSkf82LdDdH2HVWfwugtR1a518YCb3uOV7ffbQ3BatfhFfdiAP13c4rntond7G5O87L1O-pFWEc987aJX_oA3Kro4GHuJzhrVBnv1M6foebl4mt9nm4fVej7bZDov85hZpg1hRc7LRjFhKl5WxGrgmjFjC2ZEpQVrKsbzEmpjgDNiK1OYoqG1ELzOp-hmzN37_n2wIcpdP_gunZSUCAIC8oIlFxld2vcheNvIvXdv6V9JQB7rlGOdMtUpj3VKnhg6MiF5u1fr_5L_h74Bntd4Sg</recordid><startdate>20190601</startdate><enddate>20190601</enddate><creator>Chu, Jifeng</creator><creator>Ionescu-Kruse, Delia</creator><creator>Yang, Yanjuan</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-0393-420X</orcidid></search><sort><creationdate>20190601</creationdate><title>Exact Solution and Instability for Geophysical Waves with Centripetal Forces and at Arbitrary Latitude</title><author>Chu, Jifeng ; Ionescu-Kruse, Delia ; Yang, Yanjuan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c353t-e6cd164385fa69d78571ec08c66de46d97c96f768350bdd0861e7d4d4f2b998b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Centripetal force</topic><topic>Classical and Continuum Physics</topic><topic>Fluid mechanics</topic><topic>Fluid- and Aerodynamics</topic><topic>Geophysics</topic><topic>Latitude</topic><topic>Mathematical Methods in Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Slopes</topic><topic>Stability</topic><topic>Theoretical mathematics</topic><topic>Wave propagation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chu, Jifeng</creatorcontrib><creatorcontrib>Ionescu-Kruse, Delia</creatorcontrib><creatorcontrib>Yang, Yanjuan</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of mathematical fluid mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chu, Jifeng</au><au>Ionescu-Kruse, Delia</au><au>Yang, Yanjuan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exact Solution and Instability for Geophysical Waves with Centripetal Forces and at Arbitrary Latitude</atitle><jtitle>Journal of mathematical fluid mechanics</jtitle><stitle>J. Math. Fluid Mech</stitle><date>2019-06-01</date><risdate>2019</risdate><volume>21</volume><issue>2</issue><spage>1</spage><epage>16</epage><pages>1-16</pages><artnum>19</artnum><issn>1422-6928</issn><eissn>1422-6952</eissn><abstract>The aim of this paper is to provide, in a
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| ispartof | Journal of mathematical fluid mechanics, 2019-06, Vol.21 (2), p.1-16, Article 19 |
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| language | eng |
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| subjects | Centripetal force Classical and Continuum Physics Fluid mechanics Fluid- and Aerodynamics Geophysics Latitude Mathematical Methods in Physics Physics Physics and Astronomy Slopes Stability Theoretical mathematics Wave propagation |
| title | Exact Solution and Instability for Geophysical Waves with Centripetal Forces and at Arbitrary Latitude |
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