Well-posedness of the free boundary problem in incompressible MHD with surface tension
Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability conditi...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Li, Changyan [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Übergeordnetes Werk: |
Enthalten in: Calculus of variations and partial differential equations - Springer Berlin Heidelberg, 1993, 61(2022), 5 vom: 02. Aug. |
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| Übergeordnetes Werk: |
volume:61 ; year:2022 ; number:5 ; day:02 ; month:08 |
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| DOI / URN: |
10.1007/s00526-022-02302-8 |
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| 520 | |a Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability condition, we prove that as surface tension tends to zero, the solution of the two phase flow problem with surface tension converges to the solution of the two phase flow problem without surface tension. | ||
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10.1007/s00526-022-02302-8 doi (DE-627)OLC2079272810 (DE-He213)s00526-022-02302-8-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Li, Changyan verfasserin aut Well-posedness of the free boundary problem in incompressible MHD with surface tension 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability condition, we prove that as surface tension tends to zero, the solution of the two phase flow problem with surface tension converges to the solution of the two phase flow problem without surface tension. Li, Hui (orcid)0000-0002-1933-9763 aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 61(2022), 5 vom: 02. Aug. (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:61 year:2022 number:5 day:02 month:08 https://doi.org/10.1007/s00526-022-02302-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 61 2022 5 02 08 |
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10.1007/s00526-022-02302-8 doi (DE-627)OLC2079272810 (DE-He213)s00526-022-02302-8-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Li, Changyan verfasserin aut Well-posedness of the free boundary problem in incompressible MHD with surface tension 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability condition, we prove that as surface tension tends to zero, the solution of the two phase flow problem with surface tension converges to the solution of the two phase flow problem without surface tension. Li, Hui (orcid)0000-0002-1933-9763 aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 61(2022), 5 vom: 02. Aug. (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:61 year:2022 number:5 day:02 month:08 https://doi.org/10.1007/s00526-022-02302-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 61 2022 5 02 08 |
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10.1007/s00526-022-02302-8 doi (DE-627)OLC2079272810 (DE-He213)s00526-022-02302-8-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Li, Changyan verfasserin aut Well-posedness of the free boundary problem in incompressible MHD with surface tension 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability condition, we prove that as surface tension tends to zero, the solution of the two phase flow problem with surface tension converges to the solution of the two phase flow problem without surface tension. Li, Hui (orcid)0000-0002-1933-9763 aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 61(2022), 5 vom: 02. Aug. (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:61 year:2022 number:5 day:02 month:08 https://doi.org/10.1007/s00526-022-02302-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 61 2022 5 02 08 |
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10.1007/s00526-022-02302-8 doi (DE-627)OLC2079272810 (DE-He213)s00526-022-02302-8-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Li, Changyan verfasserin aut Well-posedness of the free boundary problem in incompressible MHD with surface tension 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability condition, we prove that as surface tension tends to zero, the solution of the two phase flow problem with surface tension converges to the solution of the two phase flow problem without surface tension. Li, Hui (orcid)0000-0002-1933-9763 aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 61(2022), 5 vom: 02. Aug. (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:61 year:2022 number:5 day:02 month:08 https://doi.org/10.1007/s00526-022-02302-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 61 2022 5 02 08 |
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10.1007/s00526-022-02302-8 doi (DE-627)OLC2079272810 (DE-He213)s00526-022-02302-8-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Li, Changyan verfasserin aut Well-posedness of the free boundary problem in incompressible MHD with surface tension 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability condition, we prove that as surface tension tends to zero, the solution of the two phase flow problem with surface tension converges to the solution of the two phase flow problem without surface tension. Li, Hui (orcid)0000-0002-1933-9763 aut Enthalten in Calculus of variations and partial differential equations Springer Berlin Heidelberg, 1993 61(2022), 5 vom: 02. Aug. (DE-627)165669977 (DE-600)1144181-1 (DE-576)033045690 0944-2669 nnns volume:61 year:2022 number:5 day:02 month:08 https://doi.org/10.1007/s00526-022-02302-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_2018 GBV_ILN_4277 AR 61 2022 5 02 08 |
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Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability condition, we prove that as surface tension tends to zero, the solution of the two phase flow problem with surface tension converges to the solution of the two phase flow problem without surface tension. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability condition, we prove that as surface tension tends to zero, the solution of the two phase flow problem with surface tension converges to the solution of the two phase flow problem without surface tension. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability condition, we prove that as surface tension tends to zero, the solution of the two phase flow problem with surface tension converges to the solution of the two phase flow problem without surface tension. © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2079272810</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506061342.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2022 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00526-022-02302-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2079272810</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00526-022-02302-8-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Li, Changyan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Well-posedness of the free boundary problem in incompressible MHD with surface tension</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we study the two phase flow problem with surface tension in the ideal incompressible magnetohydrodynamics. First, we prove the local well-posedness of the two phase flow problem with surface tension. Second, for the initial data satisfying a Syrovatskij type stability condition, we prove that as surface tension tends to zero, the solution of the two phase flow problem with surface tension converges to the solution of the two phase flow problem without surface tension.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Li, Hui</subfield><subfield code="0">(orcid)0000-0002-1933-9763</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Calculus of variations and partial differential equations</subfield><subfield code="d">Springer Berlin Heidelberg, 1993</subfield><subfield code="g">61(2022), 5 vom: 02. 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