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The Pointwise Estimates of Solutions to the Cauchy Problem of a Chemotaxis Model 被引量：3

The Pointwise Estimates of Solutions to the Cauchy Problem of a Chemotaxis Model
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摘要 This paper deals with an attraction-repulsion chemotaxis model(ARC) in multi-dimensions. By Duhamel's principle, the implicit expression of the solution to(ARC)is given. With the method of Green's function, the authors obtain the pointwise estimates of solutions to the Cauchy problem(ARC) for small initial data, which yield the W s,p(1 ≤p≤∞) decay properties of solutions.
作者 Renkun SHI Weike WANG
机构地区 Department of Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第1期111-124,共14页 数学年刊（B辑英文版）
基金 supported by the National Natural Science Foundation of China(No.11171213) supported by the National Natural Science Foundation of China(No.11231006) the National Research Foundation for the Doctoral Program of Higher Education of China(No.20130073110073)
关键词 Chemotaxis model Pointwise estimates Green＇s function Decay rates 逐点估计 柯西问题 模型 趋化 Duhamel原理 格林函数方法 衰减特性 ARC
分类号 O175 [理学—基础数学]
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参考文献17

  • 1Hoff, D. and Zumbrun, K., Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves, Z. angew. Math. Phys., 48, 1997, 1-18.
  • 2Horstmann, D., From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, L Jahresber. Deutsch. Math.-Verien, 105(3), 2003, 103-106.
  • 3Keller, E. F. and Segel, L. A., Initiation of slime mold aggregation viewed as an instability, J. Theor. Biol., 26, 1970, 399-415.
  • 4Kozono, H. and Sugiyama, Y., Strong solutions to the Keller-Segel system with the weak L_ initial data 2 and its application to the blow-up rate, Math. Nachr., 283(5), 2010, 732-751.
  • 5Li, H. L., Matsumura, A. and Zhang, G. J., Optimal decay rate of the compressible Navier-Stokes-Poisson system in 3, Arch. Ration. Mech. Anal., 196, 2010, 681-713.
  • 6Liu, J. and Wang, Z. A., Classical solutions and steady states of an attraction-repulsion chemotaxis in one dimension, J. Biol. Dyn., 6, 2012, 31-41.
  • 7Liu, T. P. and Wang, W. K., The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd-multi dimensions, Comm. Math. Phys., 196, 1998, 145-173.
  • 8Liu, T. P. and Zeng, Y., Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws, Mem. Amer. Math. Soc., 125(599), Amer. Math. Soc., Providence, RI, 1997.
  • 9Luca, M., Chavez-Ross, A., Edelstein-Keshet, L. and Mogilner, A., Chemotactic singalling, microglia, and alzheimer's disease senile plaques: Is there a connection? Bull. Math. Biol., 65, 2003:673-730.
  • 10Nagai, T, Blow-up of nonradial solutions to parabolic-elliptic systems modelling chemotaxis in two- dimensional domains, J. Inequal. and Appl., 6, 2001, 37-55.

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Chinese Annals of Mathematics,Series B
2016年 第1期

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