Blow-up for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions
Abstract This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. We present a precise blow-up scenario and a new blow-up result for strong solutions to the system. However, due to higher-order nonlinearity, the estimate of several requir...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mi, Yongsheng [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Systematik: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Monatshefte für Mathematik - Springer Vienna, 1948, 198(2022), 1 vom: 09. Feb., Seite 153-164 |
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| Übergeordnetes Werk: |
volume:198 ; year:2022 ; number:1 ; day:09 ; month:02 ; pages:153-164 |
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| DOI / URN: |
10.1007/s00605-021-01635-4 |
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OLC2078527483 |
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10.1007/s00605-021-01635-4 doi (DE-627)OLC2078527483 (DE-He213)s00605-021-01635-4-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7170 VZ rvk SA 7170 VZ rvk Mi, Yongsheng verfasserin aut Blow-up for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2022 Abstract This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. We present a precise blow-up scenario and a new blow-up result for strong solutions to the system. However, due to higher-order nonlinearity, the estimate of several required nonlinear terms is very hard. A complicated problem is that we deal with the equation with higher-order nonlinearity, making the proof of several required nonlinear estimates some what delicate. Two-component Camassa-Holm system Peakons Blow-up Huang, Daiwen aut Enthalten in Monatshefte für Mathematik Springer Vienna, 1948 198(2022), 1 vom: 09. Feb., Seite 153-164 (DE-627)129492191 (DE-600)206474-1 (DE-576)014887657 0026-9255 nnns volume:198 year:2022 number:1 day:09 month:02 pages:153-164 https://doi.org/10.1007/s00605-021-01635-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 GBV_ILN_2088 GBV_ILN_4012 SA 7170 SA 7170 AR 198 2022 1 09 02 153-164 |
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10.1007/s00605-021-01635-4 doi (DE-627)OLC2078527483 (DE-He213)s00605-021-01635-4-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn SA 7170 VZ rvk SA 7170 VZ rvk Mi, Yongsheng verfasserin aut Blow-up for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions 2022 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2022 Abstract This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. We present a precise blow-up scenario and a new blow-up result for strong solutions to the system. However, due to higher-order nonlinearity, the estimate of several required nonlinear terms is very hard. A complicated problem is that we deal with the equation with higher-order nonlinearity, making the proof of several required nonlinear estimates some what delicate. Two-component Camassa-Holm system Peakons Blow-up Huang, Daiwen aut Enthalten in Monatshefte für Mathematik Springer Vienna, 1948 198(2022), 1 vom: 09. Feb., Seite 153-164 (DE-627)129492191 (DE-600)206474-1 (DE-576)014887657 0026-9255 nnns volume:198 year:2022 number:1 day:09 month:02 pages:153-164 https://doi.org/10.1007/s00605-021-01635-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_30 GBV_ILN_2088 GBV_ILN_4012 SA 7170 SA 7170 AR 198 2022 1 09 02 153-164 |
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Abstract This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. We present a precise blow-up scenario and a new blow-up result for strong solutions to the system. However, due to higher-order nonlinearity, the estimate of several required nonlinear terms is very hard. A complicated problem is that we deal with the equation with higher-order nonlinearity, making the proof of several required nonlinear estimates some what delicate. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2022 |
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Abstract This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. We present a precise blow-up scenario and a new blow-up result for strong solutions to the system. However, due to higher-order nonlinearity, the estimate of several required nonlinear terms is very hard. A complicated problem is that we deal with the equation with higher-order nonlinearity, making the proof of several required nonlinear estimates some what delicate. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2022 |
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Abstract This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. We present a precise blow-up scenario and a new blow-up result for strong solutions to the system. However, due to higher-order nonlinearity, the estimate of several required nonlinear terms is very hard. A complicated problem is that we deal with the equation with higher-order nonlinearity, making the proof of several required nonlinear estimates some what delicate. © The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature 2022 |
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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">OLC2078527483</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230506011442.0</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/s00605-021-01635-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2078527483</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00605-021-01635-4-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="084" ind1=" " ind2=" "><subfield code="a">SA 7170</subfield><subfield code="q">VZ</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SA 7170</subfield><subfield code="q">VZ</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mi, Yongsheng</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Blow-up for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions</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 Austria, part of Springer Nature 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutions. We present a precise blow-up scenario and a new blow-up result for strong solutions to the system. However, due to higher-order nonlinearity, the estimate of several required nonlinear terms is very hard. 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