<P>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 re...
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https://www.riss.kr/link?id=A107471310
2018
-
SCI,SCIE,SCOPUS
학술저널
351-387(37쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
<P>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 re...
<P>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 solutions under the assumption that the initial mass of biological cell density is sufficiently small. Both results are improvements of previously known results given in Chae <I>et al</I> (2013 <I>Discrete Continuous Dyn. Syst</I>. A <B>33</B> 2271–97) and Chae <I>et al</I> (2014 <I>Commun. PDE</I> <B>39</B> 1205–35)</P>