Serrin-type blowup criterion of three-dimensional nonhomogeneous heat conducting magnetohydrodynamic flows with vacuum
We consider an initial boundary value problem for the nonhomogeneous heat conducting magnetohydrodynamic flows. We show that for the initial density allowing vacuum, the strong solution exists globally if the velocity field satisfies Serrin's condition. Our method relies upon the delicate energ...
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University of Szeged
2019-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7943 |
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doaj-6e4c8c0b77414ae38ea42fa157ebbad32021-07-14T07:21:32ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752019-11-0120198111610.14232/ejqtde.2019.1.817943Serrin-type blowup criterion of three-dimensional nonhomogeneous heat conducting magnetohydrodynamic flows with vacuumLing Zhou0Liangjiang Primary School, Chongqing, P.R. ChinaWe consider an initial boundary value problem for the nonhomogeneous heat conducting magnetohydrodynamic flows. We show that for the initial density allowing vacuum, the strong solution exists globally if the velocity field satisfies Serrin's condition. Our method relies upon the delicate energy estimates and regularity properties of Stokes system and elliptic equations.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7943heat conducting magnetohydrodynamic flowsserrin-type criterionvacuum |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ling Zhou |
| spellingShingle |
Ling Zhou Serrin-type blowup criterion of three-dimensional nonhomogeneous heat conducting magnetohydrodynamic flows with vacuum Electronic Journal of Qualitative Theory of Differential Equations heat conducting magnetohydrodynamic flows serrin-type criterion vacuum |
| author_facet |
Ling Zhou |
| author_sort |
Ling Zhou |
| title |
Serrin-type blowup criterion of three-dimensional nonhomogeneous heat conducting magnetohydrodynamic flows with vacuum |
| title_short |
Serrin-type blowup criterion of three-dimensional nonhomogeneous heat conducting magnetohydrodynamic flows with vacuum |
| title_full |
Serrin-type blowup criterion of three-dimensional nonhomogeneous heat conducting magnetohydrodynamic flows with vacuum |
| title_fullStr |
Serrin-type blowup criterion of three-dimensional nonhomogeneous heat conducting magnetohydrodynamic flows with vacuum |
| title_full_unstemmed |
Serrin-type blowup criterion of three-dimensional nonhomogeneous heat conducting magnetohydrodynamic flows with vacuum |
| title_sort |
serrin-type blowup criterion of three-dimensional nonhomogeneous heat conducting magnetohydrodynamic flows with vacuum |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2019-11-01 |
| description |
We consider an initial boundary value problem for the nonhomogeneous heat conducting magnetohydrodynamic flows. We show that for the initial density allowing vacuum, the strong solution exists globally if the velocity field satisfies Serrin's condition. Our method relies upon the delicate energy estimates and regularity properties of Stokes system and elliptic equations. |
| topic |
heat conducting magnetohydrodynamic flows serrin-type criterion vacuum |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7943 |
| work_keys_str_mv |
AT lingzhou serrintypeblowupcriterionofthreedimensionalnonhomogeneousheatconductingmagnetohydrodynamicflowswithvacuum |
| _version_ |
1721303475242926080 |