A coupled Keller–Segel–Stokes model: global existence for small initial data and blow-up delay
By Alexander Lorz. 2012
132 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Molecular Biology
View Paper: https://www.semanticscholar.org/paper/92d4c2c168f3bf1760fd1ad8ce04a9affbe03f59
How researchers see this paper
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In Modeling and Simulation
- Michael Winkler
- Zhaoyin Xiang
- Yingping Peng
- Alexander V. Kiselev
- Kyungkeun Kang
- Jihoon Lee
- Myeongju Chae
- Yulan Wang
In Molecular Biology
- Michael Winkler
- Zhaoyin Xiang
- Yingping Peng
- Alexander V. Kiselev
- Kyungkeun Kang
- Jihoon Lee
- Myeongju Chae
- Xiaoqian Xu
Citations in the corpus
- A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization (2019, background): “1) posed in Ω = R2 indicate interesting effects such as fluid-induced blow-up prevention in the sense that global regular solutions exist despite the fact that the same initial data enforce finite-time blow-up in the corresponding fluid-free Keller-Segel system ([43]).”
- Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations (2013, methodology): “In [17], Lorz conside a system consisting of some elliptic-parabolic Keller-Segel equations coupled to Stokes system in d (d = 2 or 3).”
- Suppression of Chemotactic Explosion by Mixing (2015, background): “Moreover, in a series of papers [27], [10], [9], [26], [28] a very interesting problem coupling chemotactic density with fluid mechanics equations actively forced by this density has been considered in a variety of different settings.”
- Stabilization in a two-dimensional chemotaxis-Navier–Stokes system (2013, unknown): “Accordingly, the literature on coupled chemotaxis-fluid systems is yet quite fragmentary, and beyond very interesting numerical findings ([5], [22]), most rigorous analytical results available so far concentrate either on special cases involving somewhat restrictive assumptions, or on variants of (1”
- Global existence and boundedness in a 3D Keller–Segel–Stokes system with nonlinear diffusion and rotational flux (2017, background): “Despite the known challenges arising from the theory of fluid equations and the study of chemotaxis systems, in the past several years there have been numerous analytical approaches that addressed issues of well-posedness for corresponding initial (boundary) value problems in either bounded or unbou”