Blow-up criterion for two-dimensional heat convection equations with zero heat conductivity
In this article we obtain a blow-up criterion of smooth solutions to Cauchy problem for the incompressible heat convection equations with zero heat conductivity in $mathbb{R}^2$. Our proof is based on careful H"oder estimates of heat and transport equations and the standard Littlewood-Paley...
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Texas State University
2012-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/72/abstr.html |
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doaj-8f76ff63d18d47a49ce8a2a867aede412020-11-25T02:39:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-05-01201272,114Blow-up criterion for two-dimensional heat convection equations with zero heat conductivityYu-Zhu WangZhiqiang WeiIn this article we obtain a blow-up criterion of smooth solutions to Cauchy problem for the incompressible heat convection equations with zero heat conductivity in $mathbb{R}^2$. Our proof is based on careful H"oder estimates of heat and transport equations and the standard Littlewood-Paley theory. http://ejde.math.txstate.edu/Volumes/2012/72/abstr.htmlHeat convection equationssmooth solutionsblow-up criterion |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yu-Zhu Wang Zhiqiang Wei |
| spellingShingle |
Yu-Zhu Wang Zhiqiang Wei Blow-up criterion for two-dimensional heat convection equations with zero heat conductivity Electronic Journal of Differential Equations Heat convection equations smooth solutions blow-up criterion |
| author_facet |
Yu-Zhu Wang Zhiqiang Wei |
| author_sort |
Yu-Zhu Wang |
| title |
Blow-up criterion for two-dimensional heat convection equations with zero heat conductivity |
| title_short |
Blow-up criterion for two-dimensional heat convection equations with zero heat conductivity |
| title_full |
Blow-up criterion for two-dimensional heat convection equations with zero heat conductivity |
| title_fullStr |
Blow-up criterion for two-dimensional heat convection equations with zero heat conductivity |
| title_full_unstemmed |
Blow-up criterion for two-dimensional heat convection equations with zero heat conductivity |
| title_sort |
blow-up criterion for two-dimensional heat convection equations with zero heat conductivity |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2012-05-01 |
| description |
In this article we obtain a blow-up criterion of smooth solutions to Cauchy problem for the incompressible heat convection equations with zero heat conductivity in $mathbb{R}^2$. Our proof is based on careful H"oder estimates of heat and transport equations and the standard Littlewood-Paley theory. |
| topic |
Heat convection equations smooth solutions blow-up criterion |
| url |
http://ejde.math.txstate.edu/Volumes/2012/72/abstr.html |
| work_keys_str_mv |
AT yuzhuwang blowupcriterionfortwodimensionalheatconvectionequationswithzeroheatconductivity AT zhiqiangwei blowupcriterionfortwodimensionalheatconvectionequationswithzeroheatconductivity |
| _version_ |
1724783691307155456 |