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arxiv: 1403.3713 · v1 · pith:7CFASZT4new · submitted 2014-03-14 · 🧮 math.AP

Asymptotic behaviors of solutions for an aerobatic model coupled to fluid equations

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keywords equationsasymptoticcoupledsolutionsaerobaticbehaviorsconsiderdata
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We consider coupled system of Keller-Segel type equations and the incompressible Navier-Stokes equations in spatial dimension two. We show temporal decay estimates of solutions with small initial data and obtain their asymptotic profiles as time tends to infinity.

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