Regularity criteria for the 3D magnetohydrodynamics system involving only two velocity components
This paper is dedicated to the regularity criteria of weak solutions to the three‐dimensional incompressible magnetohydrodynamics system in terms of only two velocity components. It is proved that the weak solution (u,b) is smooth on (0,T], provided that 1 ∇u1,∇u2∈L43−2s(0,T;B˙∞,∞−s(ℝ3))with0...
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| Veröffentlicht in: | Mathematical methods in the applied sciences 2020-10, Vol.43 (15), p.9014-9023 |
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| container_title | Mathematical methods in the applied sciences |
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| creator | Zhang, Shunhang Guo, Zhengguang |
| description | This paper is dedicated to the regularity criteria of weak solutions to the three‐dimensional incompressible magnetohydrodynamics system in terms of only two velocity components. It is proved that the weak solution (u,b) is smooth on (0,T], provided that
1
∇u1,∇u2∈L43−2s(0,T;B˙∞,∞−s(ℝ3))with0 |
| doi_str_mv | 10.1002/mma.6596 |
| format | Article |
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1
∇u1,∇u2∈L43−2s(0,T;B˙∞,∞−s(ℝ3))with0<s<1,
or
2
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1
∇u1,∇u2∈L43−2s(0,T;B˙∞,∞−s(ℝ3))with0<s<1,
or
2
u1,u2∈L4(0,T;BMO(ℝ3)).</description><subject>Besov space</subject><subject>BMO space</subject><subject>Fluid dynamics</subject><subject>Magnetohydrodynamics</subject><subject>MHD system</subject><subject>Regularity</subject><subject>regularity criteria</subject><issn>0170-4214</issn><issn>1099-1476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp10MtqwzAQBVBRWmj6gH6CoJtunI5k2ZaWIX1CQqG0a6HI48TBllLJSfDf10m67WZmc7jDXELuGIwZAH9sWzPOM5WfkREDpRImivycjIAVkAjOxCW5inENAJIxPiLmE5fbxoS666kdJoba0MoH2q2Qpk-0NUuHnV_1ZfBl70xb20hjHztsae12vtnVbkm9a3ra7T3dYePtMcu3G-_QdfGGXFSmiXj7t6_J98vz1_QtmX28vk8ns8RyleZJmspqUaISJpMguBW8hIwJqyqOgExmIJXITGZkJaGAzJYLYxCBG5nbooD0mtyfcjfB_2wxdnrtt8ENJzUXqcrU8L0a1MNJ2eBjDFjpTahbE3rNQB8K1EOB-lDgQJMT3dcN9v86PZ9Pjv4XmWpzAw</recordid><startdate>202010</startdate><enddate>202010</enddate><creator>Zhang, Shunhang</creator><creator>Guo, Zhengguang</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><orcidid>https://orcid.org/0000-0002-4925-1463</orcidid><orcidid>https://orcid.org/0000-0001-9403-0830</orcidid></search><sort><creationdate>202010</creationdate><title>Regularity criteria for the 3D magnetohydrodynamics system involving only two velocity components</title><author>Zhang, Shunhang ; Guo, Zhengguang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2936-338fbde94a58042c42d0514c9f2e0e18508945a5a8f80705cdbaaee02a86c7703</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Besov space</topic><topic>BMO space</topic><topic>Fluid dynamics</topic><topic>Magnetohydrodynamics</topic><topic>MHD system</topic><topic>Regularity</topic><topic>regularity criteria</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Shunhang</creatorcontrib><creatorcontrib>Guo, Zhengguang</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><jtitle>Mathematical methods in the applied sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhang, Shunhang</au><au>Guo, Zhengguang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Regularity criteria for the 3D magnetohydrodynamics system involving only two velocity components</atitle><jtitle>Mathematical methods in the applied sciences</jtitle><date>2020-10</date><risdate>2020</risdate><volume>43</volume><issue>15</issue><spage>9014</spage><epage>9023</epage><pages>9014-9023</pages><issn>0170-4214</issn><eissn>1099-1476</eissn><abstract>This paper is dedicated to the regularity criteria of weak solutions to the three‐dimensional incompressible magnetohydrodynamics system in terms of only two velocity components. It is proved that the weak solution (u,b) is smooth on (0,T], provided that
1
∇u1,∇u2∈L43−2s(0,T;B˙∞,∞−s(ℝ3))with0<s<1,
or
2
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| language | eng |
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| source | Access via Wiley Online Library |
| subjects | Besov space BMO space Fluid dynamics Magnetohydrodynamics MHD system Regularity regularity criteria |
| title | Regularity criteria for the 3D magnetohydrodynamics system involving only two velocity components |
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