A coupled chemotaxis-fluid model: Global existence
Article Properties
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DOI (url)
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Publication Date2011/10/01
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Indian UGC (journal)
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Refrences14
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Citations195
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Jian-Guo Liu Department of Physics and Department of Mathematics, Duke University, Durham, NC 27708, USA
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Alexander Lorz Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
Cite
Liu, Jian-Guo, and Alexander Lorz. “A Coupled Chemotaxis-Fluid Model: Global Existence”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, vol. 28, no. 5, 2011, pp. 643-52, https://doi.org/10.1016/j.anihpc.2011.04.005.
Liu, J.-G., & Lorz, A. (2011). A coupled chemotaxis-fluid model: Global existence. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire, 28(5), 643-652. https://doi.org/10.1016/j.anihpc.2011.04.005
Liu, Jian-Guo, and Alexander Lorz. “A Coupled Chemotaxis-Fluid Model: Global Existence”. Annales De l’Institut Henri Poincaré C, Analyse Non linéaire 28, no. 5 (2011): 643-52. https://doi.org/10.1016/j.anihpc.2011.04.005.
Liu JG, Lorz A. A coupled chemotaxis-fluid model: Global existence. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 2011;28(5):643-52.
Journal Categories
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Global Solutions to the Coupled Chemotaxis-Fluid Equations | Communications in Partial Differential Equations |
| 273 | 2010 |
| Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: Global existence and asymptotic behavior | Discrete & Continuous Dynamical Systems | 167 | 2010 | |
| Coupled chemotaxis fluid model | 2010 | |||
Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2 | Communications on Pure and Applied Mathematics |
| 182 | 2008 |
| The parabolic–parabolic Keller–Segel model in R2 | Communications in Mathematical Sciences |
| 2008 |
Refrences Analysis
The category
Science: Mathematics 9
is the most frequently represented among the references in this article. It primarily includes studies from Communications in Partial Differential Equations and Communications on Pure and Applied Mathematics. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Citations Analysis
The category
Science: Mathematics 177
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion and was published in 2012. The most recent citation comes from a 2024 study titled Global weak solutions in a self-consistent chemotaxis-fluid system with prescribed signal concentration on the boundary. This article reached its peak citation in 2022, with 27 citations. It has been cited in 61 different journals, 16% of which are open access. Among related journals, the Journal of Differential Equations cited this research the most, with 35 citations. The chart below illustrates the annual citation trends for this article.