Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions

Abstract We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic (MHD) system of compressible viscous heat-conductive flows and the three-dimensional full compressible Navier-Stokes equations. We establish a blowup criterion only in terms of the derivative of velocity...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Wang, YongFu [verfasserIn] Du, LiLi [verfasserIn] Li, Shan [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2014

Schlagwörter:	blow up compressible magnetohydrodynamic flows compressible Navier-Stokes equations strong solutions

Übergeordnetes Werk:	Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 58(2014), 8 vom: 30. Nov., Seite 1677-1696
Übergeordnetes Werk:	volume:58 ; year:2014 ; number:8 ; day:30 ; month:11 ; pages:1677-1696

Links:	Volltext

DOI / URN:	10.1007/s11425-014-4951-7

Katalog-ID:	SPR019141831

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520			\|a Abstract We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic (MHD) system of compressible viscous heat-conductive flows and the three-dimensional full compressible Navier-Stokes equations. We establish a blowup criterion only in terms of the derivative of velocity field, similar to the Beale-Kato-Majda type criterion for compressible viscous barotropic flows by Huang et al. (2011). The results indicate that the nature of the blowup for compressible MHD models of viscous media is similar to the barotropic compressible Navier-Stokes equations and does not depend on further sophistication of the MHD model, in particular, it is independent of the temperature and magnetic field. It also reveals that the deformation tensor of the velocity field plays a more dominant role than the electromagnetic field and the temperature in regularity theory. Especially, the similar results also hold for compressible viscous heat-conductive Navier-Stokes flows, which extend the results established by Fan et al. (2010), and Huang and Li (2009). In addition, the viscous coefficients are only restricted by the physical conditions in this paper.
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allfields	10.1007/s11425-014-4951-7 doi (DE-627)SPR019141831 (SPR)s11425-014-4951-7-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Wang, YongFu verfasserin aut Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic (MHD) system of compressible viscous heat-conductive flows and the three-dimensional full compressible Navier-Stokes equations. We establish a blowup criterion only in terms of the derivative of velocity field, similar to the Beale-Kato-Majda type criterion for compressible viscous barotropic flows by Huang et al. (2011). The results indicate that the nature of the blowup for compressible MHD models of viscous media is similar to the barotropic compressible Navier-Stokes equations and does not depend on further sophistication of the MHD model, in particular, it is independent of the temperature and magnetic field. It also reveals that the deformation tensor of the velocity field plays a more dominant role than the electromagnetic field and the temperature in regularity theory. Especially, the similar results also hold for compressible viscous heat-conductive Navier-Stokes flows, which extend the results established by Fan et al. (2010), and Huang and Li (2009). In addition, the viscous coefficients are only restricted by the physical conditions in this paper. blow up (dpeaa)DE-He213 compressible magnetohydrodynamic flows (dpeaa)DE-He213 compressible Navier-Stokes equations (dpeaa)DE-He213 strong solutions (dpeaa)DE-He213 Du, LiLi verfasserin aut Li, Shan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 58(2014), 8 vom: 30. Nov., Seite 1677-1696 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:58 year:2014 number:8 day:30 month:11 pages:1677-1696 https://dx.doi.org/10.1007/s11425-014-4951-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 58 2014 8 30 11 1677-1696
spelling	10.1007/s11425-014-4951-7 doi (DE-627)SPR019141831 (SPR)s11425-014-4951-7-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Wang, YongFu verfasserin aut Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic (MHD) system of compressible viscous heat-conductive flows and the three-dimensional full compressible Navier-Stokes equations. We establish a blowup criterion only in terms of the derivative of velocity field, similar to the Beale-Kato-Majda type criterion for compressible viscous barotropic flows by Huang et al. (2011). The results indicate that the nature of the blowup for compressible MHD models of viscous media is similar to the barotropic compressible Navier-Stokes equations and does not depend on further sophistication of the MHD model, in particular, it is independent of the temperature and magnetic field. It also reveals that the deformation tensor of the velocity field plays a more dominant role than the electromagnetic field and the temperature in regularity theory. Especially, the similar results also hold for compressible viscous heat-conductive Navier-Stokes flows, which extend the results established by Fan et al. (2010), and Huang and Li (2009). In addition, the viscous coefficients are only restricted by the physical conditions in this paper. blow up (dpeaa)DE-He213 compressible magnetohydrodynamic flows (dpeaa)DE-He213 compressible Navier-Stokes equations (dpeaa)DE-He213 strong solutions (dpeaa)DE-He213 Du, LiLi verfasserin aut Li, Shan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 58(2014), 8 vom: 30. Nov., Seite 1677-1696 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:58 year:2014 number:8 day:30 month:11 pages:1677-1696 https://dx.doi.org/10.1007/s11425-014-4951-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 58 2014 8 30 11 1677-1696
allfields_unstemmed	10.1007/s11425-014-4951-7 doi (DE-627)SPR019141831 (SPR)s11425-014-4951-7-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Wang, YongFu verfasserin aut Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic (MHD) system of compressible viscous heat-conductive flows and the three-dimensional full compressible Navier-Stokes equations. We establish a blowup criterion only in terms of the derivative of velocity field, similar to the Beale-Kato-Majda type criterion for compressible viscous barotropic flows by Huang et al. (2011). The results indicate that the nature of the blowup for compressible MHD models of viscous media is similar to the barotropic compressible Navier-Stokes equations and does not depend on further sophistication of the MHD model, in particular, it is independent of the temperature and magnetic field. It also reveals that the deformation tensor of the velocity field plays a more dominant role than the electromagnetic field and the temperature in regularity theory. Especially, the similar results also hold for compressible viscous heat-conductive Navier-Stokes flows, which extend the results established by Fan et al. (2010), and Huang and Li (2009). In addition, the viscous coefficients are only restricted by the physical conditions in this paper. blow up (dpeaa)DE-He213 compressible magnetohydrodynamic flows (dpeaa)DE-He213 compressible Navier-Stokes equations (dpeaa)DE-He213 strong solutions (dpeaa)DE-He213 Du, LiLi verfasserin aut Li, Shan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 58(2014), 8 vom: 30. Nov., Seite 1677-1696 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:58 year:2014 number:8 day:30 month:11 pages:1677-1696 https://dx.doi.org/10.1007/s11425-014-4951-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 58 2014 8 30 11 1677-1696
allfieldsGer	10.1007/s11425-014-4951-7 doi (DE-627)SPR019141831 (SPR)s11425-014-4951-7-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Wang, YongFu verfasserin aut Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic (MHD) system of compressible viscous heat-conductive flows and the three-dimensional full compressible Navier-Stokes equations. We establish a blowup criterion only in terms of the derivative of velocity field, similar to the Beale-Kato-Majda type criterion for compressible viscous barotropic flows by Huang et al. (2011). The results indicate that the nature of the blowup for compressible MHD models of viscous media is similar to the barotropic compressible Navier-Stokes equations and does not depend on further sophistication of the MHD model, in particular, it is independent of the temperature and magnetic field. It also reveals that the deformation tensor of the velocity field plays a more dominant role than the electromagnetic field and the temperature in regularity theory. Especially, the similar results also hold for compressible viscous heat-conductive Navier-Stokes flows, which extend the results established by Fan et al. (2010), and Huang and Li (2009). In addition, the viscous coefficients are only restricted by the physical conditions in this paper. blow up (dpeaa)DE-He213 compressible magnetohydrodynamic flows (dpeaa)DE-He213 compressible Navier-Stokes equations (dpeaa)DE-He213 strong solutions (dpeaa)DE-He213 Du, LiLi verfasserin aut Li, Shan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 58(2014), 8 vom: 30. Nov., Seite 1677-1696 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:58 year:2014 number:8 day:30 month:11 pages:1677-1696 https://dx.doi.org/10.1007/s11425-014-4951-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 58 2014 8 30 11 1677-1696
allfieldsSound	10.1007/s11425-014-4951-7 doi (DE-627)SPR019141831 (SPR)s11425-014-4951-7-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Wang, YongFu verfasserin aut Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic (MHD) system of compressible viscous heat-conductive flows and the three-dimensional full compressible Navier-Stokes equations. We establish a blowup criterion only in terms of the derivative of velocity field, similar to the Beale-Kato-Majda type criterion for compressible viscous barotropic flows by Huang et al. (2011). The results indicate that the nature of the blowup for compressible MHD models of viscous media is similar to the barotropic compressible Navier-Stokes equations and does not depend on further sophistication of the MHD model, in particular, it is independent of the temperature and magnetic field. It also reveals that the deformation tensor of the velocity field plays a more dominant role than the electromagnetic field and the temperature in regularity theory. Especially, the similar results also hold for compressible viscous heat-conductive Navier-Stokes flows, which extend the results established by Fan et al. (2010), and Huang and Li (2009). In addition, the viscous coefficients are only restricted by the physical conditions in this paper. blow up (dpeaa)DE-He213 compressible magnetohydrodynamic flows (dpeaa)DE-He213 compressible Navier-Stokes equations (dpeaa)DE-He213 strong solutions (dpeaa)DE-He213 Du, LiLi verfasserin aut Li, Shan verfasserin aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 58(2014), 8 vom: 30. Nov., Seite 1677-1696 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:58 year:2014 number:8 day:30 month:11 pages:1677-1696 https://dx.doi.org/10.1007/s11425-014-4951-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 58 2014 8 30 11 1677-1696
language	English
source	Enthalten in Science in China 58(2014), 8 vom: 30. Nov., Seite 1677-1696 volume:58 year:2014 number:8 day:30 month:11 pages:1677-1696
sourceStr	Enthalten in Science in China 58(2014), 8 vom: 30. Nov., Seite 1677-1696 volume:58 year:2014 number:8 day:30 month:11 pages:1677-1696
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	blow up compressible magnetohydrodynamic flows compressible Navier-Stokes equations strong solutions
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container_title	Science in China
authorswithroles_txt_mv	Wang, YongFu @@aut@@ Du, LiLi @@aut@@ Li, Shan @@aut@@
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author	Wang, YongFu
spellingShingle	Wang, YongFu ddc 510 bkl 30.00 bkl 31.00 misc blow up misc compressible magnetohydrodynamic flows misc compressible Navier-Stokes equations misc strong solutions Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions
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topic_title	510 530 520 ASE 30.00 bkl 31.00 bkl Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions blow up (dpeaa)DE-He213 compressible magnetohydrodynamic flows (dpeaa)DE-He213 compressible Navier-Stokes equations (dpeaa)DE-He213 strong solutions (dpeaa)DE-He213
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title	Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions
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title_full	Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions
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author_browse	Wang, YongFu Du, LiLi Li, Shan
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title_sort	blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions
title_auth	Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions
abstract	Abstract We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic (MHD) system of compressible viscous heat-conductive flows and the three-dimensional full compressible Navier-Stokes equations. We establish a blowup criterion only in terms of the derivative of velocity field, similar to the Beale-Kato-Majda type criterion for compressible viscous barotropic flows by Huang et al. (2011). The results indicate that the nature of the blowup for compressible MHD models of viscous media is similar to the barotropic compressible Navier-Stokes equations and does not depend on further sophistication of the MHD model, in particular, it is independent of the temperature and magnetic field. It also reveals that the deformation tensor of the velocity field plays a more dominant role than the electromagnetic field and the temperature in regularity theory. Especially, the similar results also hold for compressible viscous heat-conductive Navier-Stokes flows, which extend the results established by Fan et al. (2010), and Huang and Li (2009). In addition, the viscous coefficients are only restricted by the physical conditions in this paper.
abstractGer	Abstract We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic (MHD) system of compressible viscous heat-conductive flows and the three-dimensional full compressible Navier-Stokes equations. We establish a blowup criterion only in terms of the derivative of velocity field, similar to the Beale-Kato-Majda type criterion for compressible viscous barotropic flows by Huang et al. (2011). The results indicate that the nature of the blowup for compressible MHD models of viscous media is similar to the barotropic compressible Navier-Stokes equations and does not depend on further sophistication of the MHD model, in particular, it is independent of the temperature and magnetic field. It also reveals that the deformation tensor of the velocity field plays a more dominant role than the electromagnetic field and the temperature in regularity theory. Especially, the similar results also hold for compressible viscous heat-conductive Navier-Stokes flows, which extend the results established by Fan et al. (2010), and Huang and Li (2009). In addition, the viscous coefficients are only restricted by the physical conditions in this paper.
abstract_unstemmed	Abstract We investigate initial-boundary-value problem for three dimensional magnetohydrodynamic (MHD) system of compressible viscous heat-conductive flows and the three-dimensional full compressible Navier-Stokes equations. We establish a blowup criterion only in terms of the derivative of velocity field, similar to the Beale-Kato-Majda type criterion for compressible viscous barotropic flows by Huang et al. (2011). The results indicate that the nature of the blowup for compressible MHD models of viscous media is similar to the barotropic compressible Navier-Stokes equations and does not depend on further sophistication of the MHD model, in particular, it is independent of the temperature and magnetic field. It also reveals that the deformation tensor of the velocity field plays a more dominant role than the electromagnetic field and the temperature in regularity theory. Especially, the similar results also hold for compressible viscous heat-conductive Navier-Stokes flows, which extend the results established by Fan et al. (2010), and Huang and Li (2009). In addition, the viscous coefficients are only restricted by the physical conditions in this paper.
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title_short	Blowup mechanism for viscous compressible heat-conductive magnetohydrodynamic flows in three dimensions
url	https://dx.doi.org/10.1007/s11425-014-4951-7
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