On well-posedness and decay of Active model B
We study the well-posedness and decay estimates of Cauchy problem for Active model B in R3. First, based on the higher-order norm estimates of solutions and the mollifier technique, we obtain the local existence of unique strong solution. Then, by using pure energy method, one proves the global wel...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-05-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/41788 |
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| _version_ | 1849314273629569024 |
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| author | Fengnan Liu Tong Wu Xiaopeng Zhao |
| author_facet | Fengnan Liu Tong Wu Xiaopeng Zhao |
| author_sort | Fengnan Liu |
| collection | DOAJ |
| description |
We study the well-posedness and decay estimates of Cauchy problem for Active model B in R3. First, based on the higher-order norm estimates of solutions and the mollifier technique, we obtain the local existence of unique strong solution. Then, by using pure energy method, one proves the global well-posedness and time decay estimates, provided that the H3/2-norm of initial data is sufficiently small.
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| format | Article |
| id | doaj-art-cf0368ae088642aa8c2cd5cf6b08e567 |
| institution | Kabale University |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-cf0368ae088642aa8c2cd5cf6b08e5672025-08-20T03:52:29ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-05-013010.15388/namc.2025.30.41788On well-posedness and decay of Active model BFengnan Liu0Tong Wu1Xiaopeng Zhao2Dalian University of TechnologyNortheastern UniversityNortheastern University We study the well-posedness and decay estimates of Cauchy problem for Active model B in R3. First, based on the higher-order norm estimates of solutions and the mollifier technique, we obtain the local existence of unique strong solution. Then, by using pure energy method, one proves the global well-posedness and time decay estimates, provided that the H3/2-norm of initial data is sufficiently small. https://www.journals.vu.lt/nonlinear-analysis/article/view/41788Active model Bwell-posednessdecay rate |
| spellingShingle | Fengnan Liu Tong Wu Xiaopeng Zhao On well-posedness and decay of Active model B Nonlinear Analysis Active model B well-posedness decay rate |
| title | On well-posedness and decay of Active model B |
| title_full | On well-posedness and decay of Active model B |
| title_fullStr | On well-posedness and decay of Active model B |
| title_full_unstemmed | On well-posedness and decay of Active model B |
| title_short | On well-posedness and decay of Active model B |
| title_sort | on well posedness and decay of active model b |
| topic | Active model B well-posedness decay rate |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/41788 |
| work_keys_str_mv | AT fengnanliu onwellposednessanddecayofactivemodelb AT tongwu onwellposednessanddecayofactivemodelb AT xiaopengzhao onwellposednessanddecayofactivemodelb |