Nondegeneracy of blow-up points for the parabolic Keller–Segel system
By N. Mizoguchi, Philippe Souplet. 2014
306 citations recorded by the source corpus.
Subfields: Cell Biology, Modeling and Simulation, Molecular Biology
View Paper: https://www.semanticscholar.org/paper/eab39390d3722eae64cedc9a6bfb357066027b39
How researchers see this paper
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In Cell Biology
- Tian Xiang
- Johannes Lankeit
- Xinru Cao
- Michael Winkler
- Yulan Wang
- Giuseppe Viglialoro
- Zhaoyin Xiang
- Tobias Black
In Modeling and Simulation
- Tian Xiang
- Michael Winkler
- Johannes Lankeit
- Xinru Cao
- Yulan Wang
- Youshan Tao
- Zhaoyin Xiang
- Jiashan Zheng
In Molecular Biology
- Tian Xiang
- Johannes Lankeit
- Michael Winkler
- Xinru Cao
- Giuseppe Viglialoro
- Sining Zheng
- Jiashan Zheng
- Chunlai Mu
Citations in the corpus
- How strong a logistic damping can prevent blow-up for the minimal Keller–Segel chemotaxis system? (2016, background): “2) Their arguments were done to the case that Ω is convex by remarking that they could be adapted to non-convex domains by virtue of the papers [22, 33].”
- Long-term behaviour in a chemotaxis-fluid system with logistic source (2016, background): “The proofs are either contained in or adapted from the articles [26, 17, 44].”
- Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system (2015, unknown): “14), we make use of the one-sided pointwise inequality ∂|∇c|2 ∂ν ≤ C7|∇c|(2) for all x ∈ ∂Ω and t ∈ (0, Tmax), valid with some C7 > 0 due to the fact that ∂c ∂ν = 0 on ∂Ω ([17]).”
- Global classical small-data solutions for a three-dimensional chemotaxis Navier–Stokes system involving matrix-valued sensitivities (2016, background): “By arguments relying on estimates from [26] or [38], it has become possible to remove this assumption (cf.”