Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System
Masmoudi (2010) obtained global well-posedness for 2D Maxwell-Navier-Stokes system. In this paper, we reprove global existence of regular solutions to the 2D system by using energy estimates and Brezis-Gallouet inequality. Also we obtain a blow-up criterion for solutions to 3D Maxwell-Navier-Stokes...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/402793 |
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| _version_ | 1841524755275972608 |
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| author | Ensil Kang Jihoon Lee |
| author_facet | Ensil Kang Jihoon Lee |
| author_sort | Ensil Kang |
| collection | DOAJ |
| description | Masmoudi (2010) obtained global well-posedness for 2D Maxwell-Navier-Stokes system. In this paper, we reprove global existence of regular solutions to the 2D system by using energy estimates and Brezis-Gallouet inequality. Also we obtain a blow-up criterion for solutions to 3D Maxwell-Navier-Stokes system. |
| format | Article |
| id | doaj-art-ff2dfc544337433a8af144712b48e6f9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ff2dfc544337433a8af144712b48e6f92025-02-03T05:47:33ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/402793402793Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes SystemEnsil Kang0Jihoon Lee1Department of Mathematics, Chosun University, Gwangju 501-759, Republic of KoreaDepartment of Mathematics, Chung-Ang University, Seoul 156-756, Republic of KoreaMasmoudi (2010) obtained global well-posedness for 2D Maxwell-Navier-Stokes system. In this paper, we reprove global existence of regular solutions to the 2D system by using energy estimates and Brezis-Gallouet inequality. Also we obtain a blow-up criterion for solutions to 3D Maxwell-Navier-Stokes system.http://dx.doi.org/10.1155/2013/402793 |
| spellingShingle | Ensil Kang Jihoon Lee Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System Abstract and Applied Analysis |
| title | Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System |
| title_full | Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System |
| title_fullStr | Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System |
| title_full_unstemmed | Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System |
| title_short | Notes on the Global Well-Posedness for the Maxwell-Navier-Stokes System |
| title_sort | notes on the global well posedness for the maxwell navier stokes system |
| url | http://dx.doi.org/10.1155/2013/402793 |
| work_keys_str_mv | AT ensilkang notesontheglobalwellposednessforthemaxwellnavierstokessystem AT jihoonlee notesontheglobalwellposednessforthemaxwellnavierstokessystem |