On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons
Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria conta...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Escobedo, M. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2014 |
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| Übergeordnetes Werk: |
Enthalten in: Communications in mathematical physics - Springer Berlin Heidelberg, 1965, 330(2014), 1 vom: 10. Apr., Seite 331-365 |
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| Übergeordnetes Werk: |
volume:330 ; year:2014 ; number:1 ; day:10 ; month:04 ; pages:331-365 |
| Links: |
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| DOI / URN: |
10.1007/s00220-014-2034-9 |
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OLC2038907242 |
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| 520 | |a Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time. | ||
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10.1007/s00220-014-2034-9 doi (DE-627)OLC2038907242 (DE-He213)s00220-014-2034-9-p DE-627 ger DE-627 rakwb eng 530 510 VZ Escobedo, M. verfasserin aut On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2014 Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time. Initial Data Weak Solution Mild Solution Einstein Condensate Dirac Mass Velázquez, J. J. L. aut Enthalten in Communications in mathematical physics Springer Berlin Heidelberg, 1965 330(2014), 1 vom: 10. Apr., Seite 331-365 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:330 year:2014 number:1 day:10 month:04 pages:331-365 https://doi.org/10.1007/s00220-014-2034-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4318 AR 330 2014 1 10 04 331-365 |
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10.1007/s00220-014-2034-9 doi (DE-627)OLC2038907242 (DE-He213)s00220-014-2034-9-p DE-627 ger DE-627 rakwb eng 530 510 VZ Escobedo, M. verfasserin aut On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2014 Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time. Initial Data Weak Solution Mild Solution Einstein Condensate Dirac Mass Velázquez, J. J. L. aut Enthalten in Communications in mathematical physics Springer Berlin Heidelberg, 1965 330(2014), 1 vom: 10. Apr., Seite 331-365 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:330 year:2014 number:1 day:10 month:04 pages:331-365 https://doi.org/10.1007/s00220-014-2034-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4318 AR 330 2014 1 10 04 331-365 |
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10.1007/s00220-014-2034-9 doi (DE-627)OLC2038907242 (DE-He213)s00220-014-2034-9-p DE-627 ger DE-627 rakwb eng 530 510 VZ Escobedo, M. verfasserin aut On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2014 Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time. Initial Data Weak Solution Mild Solution Einstein Condensate Dirac Mass Velázquez, J. J. L. aut Enthalten in Communications in mathematical physics Springer Berlin Heidelberg, 1965 330(2014), 1 vom: 10. Apr., Seite 331-365 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:330 year:2014 number:1 day:10 month:04 pages:331-365 https://doi.org/10.1007/s00220-014-2034-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4318 AR 330 2014 1 10 04 331-365 |
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10.1007/s00220-014-2034-9 doi (DE-627)OLC2038907242 (DE-He213)s00220-014-2034-9-p DE-627 ger DE-627 rakwb eng 530 510 VZ Escobedo, M. verfasserin aut On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2014 Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time. Initial Data Weak Solution Mild Solution Einstein Condensate Dirac Mass Velázquez, J. J. L. aut Enthalten in Communications in mathematical physics Springer Berlin Heidelberg, 1965 330(2014), 1 vom: 10. Apr., Seite 331-365 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:330 year:2014 number:1 day:10 month:04 pages:331-365 https://doi.org/10.1007/s00220-014-2034-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4318 AR 330 2014 1 10 04 331-365 |
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10.1007/s00220-014-2034-9 doi (DE-627)OLC2038907242 (DE-He213)s00220-014-2034-9-p DE-627 ger DE-627 rakwb eng 530 510 VZ Escobedo, M. verfasserin aut On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons 2014 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2014 Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time. Initial Data Weak Solution Mild Solution Einstein Condensate Dirac Mass Velázquez, J. J. L. aut Enthalten in Communications in mathematical physics Springer Berlin Heidelberg, 1965 330(2014), 1 vom: 10. Apr., Seite 331-365 (DE-627)129555002 (DE-600)220443-5 (DE-576)015011755 0010-3616 nnns volume:330 year:2014 number:1 day:10 month:04 pages:331-365 https://doi.org/10.1007/s00220-014-2034-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2279 GBV_ILN_2409 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4318 AR 330 2014 1 10 04 331-365 |
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Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time. © Springer-Verlag Berlin Heidelberg 2014 |
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Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time. © Springer-Verlag Berlin Heidelberg 2014 |
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Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time. © Springer-Verlag Berlin Heidelberg 2014 |
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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">OLC2038907242</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230323202943.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2014 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00220-014-2034-9</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2038907242</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00220-014-2034-9-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">530</subfield><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Escobedo, M.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2014</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">© Springer-Verlag Berlin Heidelberg 2014</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L∞ norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Dirac mass. We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Initial Data</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Weak Solution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mild Solution</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Einstein Condensate</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dirac Mass</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Velázquez, J. J. 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