Condensation phenomena in nonlinear drift equations
We study non-negative, measure-valued solutions to nonlinear drift- Type equations modelling concentration phenomena related to Bose-Einstein particles. In one spatial dimension, we prove existence and uniqueness for measure solutions. Moreover, we prove that all solutions blow up in finite time lea...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Scuola Normale Superiore
2016
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| _version_ | 1797075192718032896 |
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| author | Carrillo, JA Di Francesco, M Toscani, G |
| author_facet | Carrillo, JA Di Francesco, M Toscani, G |
| author_sort | Carrillo, JA |
| collection | OXFORD |
| description | We study non-negative, measure-valued solutions to nonlinear drift- Type equations modelling concentration phenomena related to Bose-Einstein particles. In one spatial dimension, we prove existence and uniqueness for measure solutions. Moreover, we prove that all solutions blow up in finite time leading to a concentration of mass only at the origin, and the concentrated mass absorbs increasingly the mass converging to the total mass as / oo. Our analysis makes a substantial use of independent variable scalings and pseudo-inverse functions techniques. |
| first_indexed | 2024-03-06T23:46:54Z |
| format | Journal article |
| id | oxford-uuid:713c4fb5-6897-4ba2-bcc9-5e2027a777a9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:46:54Z |
| publishDate | 2016 |
| publisher | Scuola Normale Superiore |
| record_format | dspace |
| spelling | oxford-uuid:713c4fb5-6897-4ba2-bcc9-5e2027a777a92022-03-26T19:42:17ZCondensation phenomena in nonlinear drift equationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:713c4fb5-6897-4ba2-bcc9-5e2027a777a9EnglishSymplectic ElementsScuola Normale Superiore2016Carrillo, JADi Francesco, MToscani, GWe study non-negative, measure-valued solutions to nonlinear drift- Type equations modelling concentration phenomena related to Bose-Einstein particles. In one spatial dimension, we prove existence and uniqueness for measure solutions. Moreover, we prove that all solutions blow up in finite time leading to a concentration of mass only at the origin, and the concentrated mass absorbs increasingly the mass converging to the total mass as / oo. Our analysis makes a substantial use of independent variable scalings and pseudo-inverse functions techniques. |
| spellingShingle | Carrillo, JA Di Francesco, M Toscani, G Condensation phenomena in nonlinear drift equations |
| title | Condensation phenomena in nonlinear drift equations |
| title_full | Condensation phenomena in nonlinear drift equations |
| title_fullStr | Condensation phenomena in nonlinear drift equations |
| title_full_unstemmed | Condensation phenomena in nonlinear drift equations |
| title_short | Condensation phenomena in nonlinear drift equations |
| title_sort | condensation phenomena in nonlinear drift equations |
| work_keys_str_mv | AT carrilloja condensationphenomenainnonlineardriftequations AT difrancescom condensationphenomenainnonlineardriftequations AT toscanig condensationphenomenainnonlineardriftequations |