Energy criteria of global existence for a class of Hartree equations with Coulomb potential
This paper studies a class of Hartree equations with Coulomb potential. Combined with the conservation of mass and energy, we analyze the variational characteristics of the corresponding nonlinear elliptic equation. According to the range of parameters, we construct the evolution invariant flows of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Western Libraries
2023-03-01
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| Series: | Mathematics in Applied Sciences and Engineering |
| Subjects: | |
| Online Access: | https://ojs.lib.uwo.ca/index.php/mase/article/view/15536 |
| _version_ | 1797854714666156032 |
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| author | Na Tang Jian Zhang |
| author_facet | Na Tang Jian Zhang |
| author_sort | Na Tang |
| collection | DOAJ |
| description | This paper studies a class of Hartree equations with Coulomb potential. Combined with the conservation of mass and energy, we analyze the variational characteristics of the corresponding nonlinear elliptic equation. According to the range of parameters, we construct the evolution invariant flows of the equation in different cases. Then the sharp energy thresholds for global existence and blow-up of solutions are discussed in detail. |
| first_indexed | 2024-04-09T20:10:36Z |
| format | Article |
| id | doaj.art-2074466c4d2a44dabac564eb0759369e |
| institution | Directory Open Access Journal |
| issn | 2563-1926 |
| language | English |
| last_indexed | 2024-04-09T20:10:36Z |
| publishDate | 2023-03-01 |
| publisher | Western Libraries |
| record_format | Article |
| series | Mathematics in Applied Sciences and Engineering |
| spelling | doaj.art-2074466c4d2a44dabac564eb0759369e2023-03-31T20:25:48ZengWestern LibrariesMathematics in Applied Sciences and Engineering2563-19262023-03-0141617810.5206/mase/155369779Energy criteria of global existence for a class of Hartree equations with Coulomb potentialNa Tang0Jian ZhangUESTCThis paper studies a class of Hartree equations with Coulomb potential. Combined with the conservation of mass and energy, we analyze the variational characteristics of the corresponding nonlinear elliptic equation. According to the range of parameters, we construct the evolution invariant flows of the equation in different cases. Then the sharp energy thresholds for global existence and blow-up of solutions are discussed in detail.https://ojs.lib.uwo.ca/index.php/mase/article/view/15536hartree equation, coulomb potential, blow-up, global existence, sharp energy threshold |
| spellingShingle | Na Tang Jian Zhang Energy criteria of global existence for a class of Hartree equations with Coulomb potential Mathematics in Applied Sciences and Engineering hartree equation, coulomb potential, blow-up, global existence, sharp energy threshold |
| title | Energy criteria of global existence for a class of Hartree equations with Coulomb potential |
| title_full | Energy criteria of global existence for a class of Hartree equations with Coulomb potential |
| title_fullStr | Energy criteria of global existence for a class of Hartree equations with Coulomb potential |
| title_full_unstemmed | Energy criteria of global existence for a class of Hartree equations with Coulomb potential |
| title_short | Energy criteria of global existence for a class of Hartree equations with Coulomb potential |
| title_sort | energy criteria of global existence for a class of hartree equations with coulomb potential |
| topic | hartree equation, coulomb potential, blow-up, global existence, sharp energy threshold |
| url | https://ojs.lib.uwo.ca/index.php/mase/article/view/15536 |
| work_keys_str_mv | AT natang energycriteriaofglobalexistenceforaclassofhartreeequationswithcoulombpotential AT jianzhang energycriteriaofglobalexistenceforaclassofhartreeequationswithcoulombpotential |