Global solutions to the Cauchy problem of BNSP equations in some classes of large data
In this paper, we obtained the global existence and large time behavior of the solution for bipolar Navier-Stokes-Poisson equations under the partially smallness assumption of the initial data. Due to the complexity of bipolar Navier-Stokes-Poisson equations, we chose Green's function method in...
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AIMS Press
2024-09-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024255 |
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| author | Jie Qi Weike Wang |
| author_facet | Jie Qi Weike Wang |
| author_sort | Jie Qi |
| collection | DOAJ |
| description | In this paper, we obtained the global existence and large time behavior of the solution for bipolar Navier-Stokes-Poisson equations under the partially smallness assumption of the initial data. Due to the complexity of bipolar Navier-Stokes-Poisson equations, we chose Green's function method instead of the classical energy method and thus discussed the regularity criterion under decaying structures in time instead of only integrability of time variable. It made the whole proof more simple and clear, meanwhile, resulted in the large time decaying estimates of the solution. It also showed the advantage of Green's function method in the study of global existence in the large perturbation framework. |
| format | Article |
| id | doaj-art-679513d3d4c34c4b9d62b2b4797d98c1 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-679513d3d4c34c4b9d62b2b4797d98c12025-01-23T07:52:42ZengAIMS PressElectronic Research Archive2688-15942024-09-013295496554110.3934/era.2024255Global solutions to the Cauchy problem of BNSP equations in some classes of large dataJie Qi0Weike Wang1School of Mathematical Sciences, CMA-Shanghai, Shanghai Jiao Tong University, Shanghai 200240, ChinaSchool of Mathematical Sciences, CMA-Shanghai, Shanghai Jiao Tong University, Shanghai 200240, ChinaIn this paper, we obtained the global existence and large time behavior of the solution for bipolar Navier-Stokes-Poisson equations under the partially smallness assumption of the initial data. Due to the complexity of bipolar Navier-Stokes-Poisson equations, we chose Green's function method instead of the classical energy method and thus discussed the regularity criterion under decaying structures in time instead of only integrability of time variable. It made the whole proof more simple and clear, meanwhile, resulted in the large time decaying estimates of the solution. It also showed the advantage of Green's function method in the study of global existence in the large perturbation framework.https://www.aimspress.com/article/doi/10.3934/era.2024255regularity criterionbootstrap argumentgreen's functionglobal existencedecay rate of solution |
| spellingShingle | Jie Qi Weike Wang Global solutions to the Cauchy problem of BNSP equations in some classes of large data Electronic Research Archive regularity criterion bootstrap argument green's function global existence decay rate of solution |
| title | Global solutions to the Cauchy problem of BNSP equations in some classes of large data |
| title_full | Global solutions to the Cauchy problem of BNSP equations in some classes of large data |
| title_fullStr | Global solutions to the Cauchy problem of BNSP equations in some classes of large data |
| title_full_unstemmed | Global solutions to the Cauchy problem of BNSP equations in some classes of large data |
| title_short | Global solutions to the Cauchy problem of BNSP equations in some classes of large data |
| title_sort | global solutions to the cauchy problem of bnsp equations in some classes of large data |
| topic | regularity criterion bootstrap argument green's function global existence decay rate of solution |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024255 |
| work_keys_str_mv | AT jieqi globalsolutionstothecauchyproblemofbnspequationsinsomeclassesoflargedata AT weikewang globalsolutionstothecauchyproblemofbnspequationsinsomeclassesoflargedata |