Stability of the 2D Boussinesq equations with a velocity damping term in the strip domain
We prove the global well-posedness for the 2D Boussinesq equations with a velocity damping term around the equilibrium state ( 0 , x 2 ) in the strip domain R × ( 0 , 1 ) with Navier-type slip boundary condition. It is worth mentioning that the results of low regularity are obtained using only the e...
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| Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Physik 2023-04, Vol.74 (2), Article 55 |
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| container_title | Zeitschrift für angewandte Mathematik und Physik |
| container_volume | 74 |
| creator | Luo, Zekai Ren, Xiaoxia |
| description | We prove the global well-posedness for the 2D Boussinesq equations with a velocity damping term around the equilibrium state
(
0
,
x
2
)
in the strip domain
R
×
(
0
,
1
)
with Navier-type slip boundary condition. It is worth mentioning that the results of low regularity are obtained using only the energy estimate and the structure of the equations. |
| doi_str_mv | 10.1007/s00033-023-01951-9 |
| format | Article |
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(
0
,
x
2
)
in the strip domain
R
×
(
0
,
1
)
with Navier-type slip boundary condition. It is worth mentioning that the results of low regularity are obtained using only the energy estimate and the structure of the equations.</description><identifier>ISSN: 0044-2275</identifier><identifier>EISSN: 1420-9039</identifier><identifier>DOI: 10.1007/s00033-023-01951-9</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Boundary conditions ; Boussinesq equations ; Damping ; Domains ; Engineering ; Mathematical analysis ; Mathematical Methods in Physics ; Strip ; Theoretical and Applied Mechanics</subject><ispartof>Zeitschrift für angewandte Mathematik und Physik, 2023-04, Vol.74 (2), Article 55</ispartof><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c200t-def70003a1cfe71b234eaa4a675441c4ccd768d5d871a9a3425286295e7cf84b3</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/s00033-023-01951-9$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00033-023-01951-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Luo, Zekai</creatorcontrib><creatorcontrib>Ren, Xiaoxia</creatorcontrib><title>Stability of the 2D Boussinesq equations with a velocity damping term in the strip domain</title><title>Zeitschrift für angewandte Mathematik und Physik</title><addtitle>Z. Angew. Math. Phys</addtitle><description>We prove the global well-posedness for the 2D Boussinesq equations with a velocity damping term around the equilibrium state
(
0
,
x
2
)
in the strip domain
R
×
(
0
,
1
)
with Navier-type slip boundary condition. It is worth mentioning that the results of low regularity are obtained using only the energy estimate and the structure of the equations.</description><subject>Boundary conditions</subject><subject>Boussinesq equations</subject><subject>Damping</subject><subject>Domains</subject><subject>Engineering</subject><subject>Mathematical analysis</subject><subject>Mathematical Methods in Physics</subject><subject>Strip</subject><subject>Theoretical and Applied Mechanics</subject><issn>0044-2275</issn><issn>1420-9039</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kD1PwzAQhi0EEqXwB5gsMRvOH6mTEcqnVIkBGJgs13FaV02c2g6o_56kQWJjON3yPO-dXoQuKVxTAHkTAYBzAqwfWmSUFEdoQgUDUgAvjtEEQAjCmMxO0VmMmx6XFPgEfb4lvXRbl_bYVzitLWb3-M53MbrGxh22u04n55uIv11aY42_7NabAS913bpmhZMNNXbNwY0puBaXvtauOUcnld5Ge_G7p-jj8eF9_kwWr08v89sFMQwgkdJWcnheU1NZSZeMC6u10DOZCUGNMKaUs7zMylxSXWguWMbyGSsyK02ViyWfoqsxtw1-19mY1MZ3oelPKiYlzzMquegpNlIm-BiDrVQbXK3DXlFQQ4VqrFD1FapDharoJT5KsYeblQ1_0f9YPz4uc60</recordid><startdate>20230401</startdate><enddate>20230401</enddate><creator>Luo, Zekai</creator><creator>Ren, Xiaoxia</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230401</creationdate><title>Stability of the 2D Boussinesq equations with a velocity damping term in the strip domain</title><author>Luo, Zekai ; Ren, Xiaoxia</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c200t-def70003a1cfe71b234eaa4a675441c4ccd768d5d871a9a3425286295e7cf84b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Boundary conditions</topic><topic>Boussinesq equations</topic><topic>Damping</topic><topic>Domains</topic><topic>Engineering</topic><topic>Mathematical analysis</topic><topic>Mathematical Methods in Physics</topic><topic>Strip</topic><topic>Theoretical and Applied Mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Luo, Zekai</creatorcontrib><creatorcontrib>Ren, Xiaoxia</creatorcontrib><collection>CrossRef</collection><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Luo, Zekai</au><au>Ren, Xiaoxia</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stability of the 2D Boussinesq equations with a velocity damping term in the strip domain</atitle><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle><stitle>Z. Angew. Math. Phys</stitle><date>2023-04-01</date><risdate>2023</risdate><volume>74</volume><issue>2</issue><artnum>55</artnum><issn>0044-2275</issn><eissn>1420-9039</eissn><abstract>We prove the global well-posedness for the 2D Boussinesq equations with a velocity damping term around the equilibrium state
(
0
,
x
2
)
in the strip domain
R
×
(
0
,
1
)
with Navier-type slip boundary condition. It is worth mentioning that the results of low regularity are obtained using only the energy estimate and the structure of the equations.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00033-023-01951-9</doi></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0044-2275 |
| ispartof | Zeitschrift für angewandte Mathematik und Physik, 2023-04, Vol.74 (2), Article 55 |
| issn | 0044-2275 1420-9039 |
| language | eng |
| recordid | cdi_proquest_journals_2773851734 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Boundary conditions Boussinesq equations Damping Domains Engineering Mathematical analysis Mathematical Methods in Physics Strip Theoretical and Applied Mechanics |
| title | Stability of the 2D Boussinesq equations with a velocity damping term in the strip domain |
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