| A Smallness Condition Ensuring Boundedness in a Two-dimensional Chemotaxis-Navier–Stokes System involving Dirichlet Boundary Conditions for the Signal |
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| 作者姓名： | Yu Lan WANG Michael WINKLER Zhao Yin XIANG |
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| 作者单位： | 1. School of Science, Xihua University;2. Institut fur Mathematik, Universit?t Paderborn;3. School of Mathematical Sciences, University of Electronic Science and Technology of China |
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| 基金项目： | supported by the Sichuan Science and Technology program (Grant No. 2021ZYD0008)；;Sichuan Youth Science and Technology Foundation (Grant No. 2021JDTD0024)；;support of the Deutsche Forschungsgemeinschaft in the context of the project Emergence of structures and advantages in cross-diffusion systems (Project No. 411007140, GZ:WI 3707/5-1)；;supported by the NNSF of China (Grant Nos. 11971093, 11771045)；;the Applied Fundamental Research Program of Sichuan Province (Grant No. 2020YJ0264)；;the Fundamental Research Funds for the Central Universities (Grant No. ZYGX2019J096)； |
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| 摘 要： | The chemotaxis-Navier-Stokes system ■is considered in a smoothly bounded planar domain Ω under the boundary conditions■ with a given nonnegative constant c_*.It is shown that if(n0,c0,u0) is sufficiently regular and such that the product ■is suitably small,an associated initial value problem possesses a bounded classical solution with(n,c,u)|t=0=(n0,c0,u0).
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