Article
| Title: | On the global existence of weak solutions for the 3D axisymmetric chemotaxis-Navier-Stokes equations with partial diffusion (English) |
| Author: | Chen, Xiaoyu |
| Author: | Zhao, Jijie |
| Author: | Zhang, Qian |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 5 |
| Year: | 2026 |
| Pages: | 743-777 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We consider Cauchy problem of the 3D incompressible chemotaxis-Navier-Stokes equations with partial diffusion. By the Fourier localization technique and the geometry structure of axisymmetric flow without swirl, we obtain the global-in-time existence of weak solutions for this system. (English) |
| Keyword: | global existence |
| Keyword: | axisymmetric solution |
| Keyword: | chemotaxis |
| Keyword: | Navier-Stokes equations |
| MSC: | 35K55 |
| MSC: | 35Q35 |
| MSC: | 35Q92 |
| MSC: | 92C17 |
| DOI: | 10.21136/AM.2026.0003-23 |
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| Date available: | 2026-10-12T13:00:37Z |
| Last updated: | 2026-10-19 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153801 |
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