Local Well-Posedness of an Approximate Equation for SQG Fronts
We prove local well-posedness in the Sobolev spaces H ˙ s ( T ) , with s > 7 / 2 , of an initial value problem for a nonlocal, cubically nonlinear, dispersive equation that provides an approximate description of the evolution of surface quasi-geostrophic fronts with small slopes.
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| Veröffentlicht in: | Journal of mathematical fluid mechanics 2018-12, Vol.20 (4), p.1967-1984 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
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| container_end_page | 1984 |
|---|---|
| container_issue | 4 |
| container_start_page | 1967 |
| container_title | Journal of mathematical fluid mechanics |
| container_volume | 20 |
| creator | Hunter, John K. Shu, Jingyang Zhang, Qingtian |
| description | We prove local well-posedness in the Sobolev spaces
H
˙
s
(
T
)
, with
s
>
7
/
2
, of an initial value problem for a nonlocal, cubically nonlinear, dispersive equation that provides an approximate description of the evolution of surface quasi-geostrophic fronts with small slopes. |
| doi_str_mv | 10.1007/s00021-018-0396-z |
| format | Article |
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H
˙
s
(
T
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, with
s
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7
/
2
, of an initial value problem for a nonlocal, cubically nonlinear, dispersive equation that provides an approximate description of the evolution of surface quasi-geostrophic fronts with small slopes.</description><identifier>ISSN: 1422-6928</identifier><identifier>EISSN: 1422-6952</identifier><identifier>DOI: 10.1007/s00021-018-0396-z</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Boundary value problems ; Classical and Continuum Physics ; Fluid mechanics ; Fluid- and Aerodynamics ; Mathematical Methods in Physics ; Physics ; Physics and Astronomy ; Sobolev space ; Theoretical mathematics ; Well posed problems</subject><ispartof>Journal of mathematical fluid mechanics, 2018-12, Vol.20 (4), p.1967-1984</ispartof><rights>Springer Nature Switzerland AG 2018</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-9d5a6f5f5075e8398f038f11450e2c644669408c24f6ff872446514cde3775543</citedby><cites>FETCH-LOGICAL-c316t-9d5a6f5f5075e8398f038f11450e2c644669408c24f6ff872446514cde3775543</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00021-018-0396-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00021-018-0396-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27923,27924,41487,42556,51318</link.rule.ids></links><search><creatorcontrib>Hunter, John K.</creatorcontrib><creatorcontrib>Shu, Jingyang</creatorcontrib><creatorcontrib>Zhang, Qingtian</creatorcontrib><title>Local Well-Posedness of an Approximate Equation for SQG Fronts</title><title>Journal of mathematical fluid mechanics</title><addtitle>J. Math. Fluid Mech</addtitle><description>We prove local well-posedness in the Sobolev spaces
H
˙
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(
T
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7
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2
, of an initial value problem for a nonlocal, cubically nonlinear, dispersive equation that provides an approximate description of the evolution of surface quasi-geostrophic fronts with small slopes.</description><subject>Boundary value problems</subject><subject>Classical and Continuum Physics</subject><subject>Fluid mechanics</subject><subject>Fluid- and Aerodynamics</subject><subject>Mathematical Methods in Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Sobolev space</subject><subject>Theoretical mathematics</subject><subject>Well posed problems</subject><issn>1422-6928</issn><issn>1422-6952</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kE9LAzEQxYMoWKsfwFvAc3TyP7kIpbRVKKioeAzLNpGWddMmu6D99Kas6MnTDMN7bx4_hC4pXFMAfZMBgFEC1BDgVpH9ERpRwRhRVrLj352ZU3SW8waAamnZCN0uY101-M03DXmM2a9anzOOAVctnmy3KX6uP6rO49mur7p1bHGICT8_LfA8xbbL5-gkVE32Fz9zjF7ns5fpHVk-LO6nkyWpOVUdsStZqSCDBC294dYE4CZQKiR4VishlLICTM1EUCEYzcpFUlGvPNdaSsHH6GrILY12vc-d28Q-teWlY5Rzy7Uoc4zooKpTzDn54Lap1E9fjoI7YHIDJlcwuQMmty8eNnhy0bbvPv0l_2_6BkNKaCE</recordid><startdate>20181201</startdate><enddate>20181201</enddate><creator>Hunter, John K.</creator><creator>Shu, Jingyang</creator><creator>Zhang, Qingtian</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20181201</creationdate><title>Local Well-Posedness of an Approximate Equation for SQG Fronts</title><author>Hunter, John K. ; Shu, Jingyang ; Zhang, Qingtian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-9d5a6f5f5075e8398f038f11450e2c644669408c24f6ff872446514cde3775543</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Boundary value problems</topic><topic>Classical and Continuum Physics</topic><topic>Fluid mechanics</topic><topic>Fluid- and Aerodynamics</topic><topic>Mathematical Methods in Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Sobolev space</topic><topic>Theoretical mathematics</topic><topic>Well posed problems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hunter, John K.</creatorcontrib><creatorcontrib>Shu, Jingyang</creatorcontrib><creatorcontrib>Zhang, Qingtian</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of mathematical fluid mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hunter, John K.</au><au>Shu, Jingyang</au><au>Zhang, Qingtian</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Local Well-Posedness of an Approximate Equation for SQG Fronts</atitle><jtitle>Journal of mathematical fluid mechanics</jtitle><stitle>J. Math. Fluid Mech</stitle><date>2018-12-01</date><risdate>2018</risdate><volume>20</volume><issue>4</issue><spage>1967</spage><epage>1984</epage><pages>1967-1984</pages><issn>1422-6928</issn><eissn>1422-6952</eissn><abstract>We prove local well-posedness in the Sobolev spaces
H
˙
s
(
T
)
, with
s
>
7
/
2
, of an initial value problem for a nonlocal, cubically nonlinear, dispersive equation that provides an approximate description of the evolution of surface quasi-geostrophic fronts with small slopes.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00021-018-0396-z</doi><tpages>18</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1422-6928 |
| ispartof | Journal of mathematical fluid mechanics, 2018-12, Vol.20 (4), p.1967-1984 |
| issn | 1422-6928 1422-6952 |
| language | eng |
| recordid | cdi_proquest_journals_2133937421 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Boundary value problems Classical and Continuum Physics Fluid mechanics Fluid- and Aerodynamics Mathematical Methods in Physics Physics Physics and Astronomy Sobolev space Theoretical mathematics Well posed problems |
| title | Local Well-Posedness of an Approximate Equation for SQG Fronts |
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