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Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123748
Abstract: Abstract In this paper, we consider the following chemotaxis-fluid model with singular sensitivity and logistic source { n t + u ⋅ ∇ n = Δ n − χ ∇ ⋅ ( n c ∇…
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Keywords:
chemotaxis fluid;
sensitivity logistic;
singular sensitivity;
logistic source ... See more keywords
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Published in 2018 at "Nonlinearity"
DOI: 10.1088/1361-6544/aa92ec
Abstract: We consider two dimensional chemotaxis equations coupled to the Navier–Stokes equations. We present a new localized regularity criterion that is localized in a neighborhood at each point. Secondly, we establish temporal decays of the regular…
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Keywords:
chemotaxis fluid;
condition temporal;
asymptotics chemotaxis;
regularity ... See more keywords
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Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1304-4
Abstract: We consider a coupled chemotaxis fluid model and prove some blow-up criteria of the local strong solution.
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Keywords:
chemotaxis fluid;
coupled chemotaxis;
blow criteria;
fluid model ... See more keywords