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《Mathematics in Practice and Theory》 2013-01
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Norm Behavior Of Solutions to a Parabolic-Elliptic System Modeling Chemotaxis in R2

SUN Gui-ling,CHU Yuan-hong (College of Information Engineering,Huanghe University of Science and Technology,Zhengzhou 450006,China)  
We studied a nonlinear parabolic-elliptic system defined on a domain of R2 which comes from a chemotactic system in Biology.We proved the blow up solution of solutions to this problem in Sobolev spaces framework.Next we have the conclusion that there is a critical number which determines the occurrence of blow-up case.Finally,we gave the proof of the theorem with the help of Lyapunov function.
【Fund】: 河南省教育厅基金(2011C110005)
【CateGory Index】: O175.2
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 LI Yan & MU Bozhong ** (Department of Chemistry, East China University of Science and Technology, Shanghai 200237, China);Progress in Chemotaxis of Bacteria[J];Chinese Journal of Applied & Environmental Biology;2006-01
【Co-citations】
Chinese Journal Full-text Database 6 Hits
1 LIU Li-ming1 QIAN Ai-xia2 YAN Qing-pi1 QIN Ying-xue1(1Fisheries College,Jimei University,Xiamen 361021)(2Oceans & Fisheries Bureau of Rudong,Jiangsu,226400);Chemotaxis of Vibrio harveyi TS-628[J];Progress in Fishery Sciences;2010-06
2 ZOU Wen-zheng,JI Rong-xing,YI Jia-bo,YAN Qing-pi (Key Laboratory of Science and Technology for Aquaculture and Food Safety,Fisheries College of Jimei University,Xiamen 361021,China);Chemotactic response of Vibrio fluvialis to the skin mucus of Paralichthys olivaceus[J];Journal of Fisheries of China;2009-02
3 Hu Xiaojia Yu Changbing Li Yinshui Liu Shengyi Liao Xing (Oil Crops Research Institute of the Chinese Academy of Agricultural Sciences,Key Laboratory of Oil Crops Biology of the Ministry of Agriculture,Wuhan 430062,China);CHEMOTAXIS OF BACILLUS SUBTILIS TU-100 TOWARD AMINO ACIDS IN ROOT EXUDATES OF OILSEED RAPE[J];Acta Pedologica Sinica;2010-06
4 SUN Gui-ling,WANG Ai-ping,ZHANG Rong-yan (College of Information Engineering,Huanghe University of Science and Technology,Zhengzhou 450006,China);Norm Behavior of Solutions To a Parabolic-Elliptic System Modeling Chemotaxis in R~2[J];Mathematics in Practice and Theory;2012-13
5 BIAN Dong-fen,HU Yue(School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,Henan,China);Existence and Uniqueness of Solutions to the Cauchy Problem for a Class of Aggregation Equations[J];Journal of Jianghan University(Natural Sciences);2010-04
6 HU Xiao-jia,XIE Li-hua,YU Chang-bing,LI Yin-shui,LIU Sheng-yi,ZHANG Chun-lei,LIAO Xing(Oil Crops Research Institute of Chinese Academy of Agricultural Sciences, Key Laboratory of Oil Crops Biology of the Ministry of Agriculture,Wuhan 430062,China);Chemotaxis of Bacillus megaterium strain A6 towards organic acid and saccharide from roots exudates of rapeseed[J];Chinese Journal of Oil Crop Sciences;2011-04
China Proceedings of conference Full-text Database 1 Hits
1 Hu Xiaojia Yu Changbing Li Yinshui Liu Shengyi Zhang Chunlei Liao Xing (Oil Crops Research Institute of the Chinese Academy of Agricultural Sciences,Key Laboratory of Oil Crops Biology of the Ministry of Agriculture,Wuhan 430062,China);The study of chemotaxis of Bacillus megaterium A6 toward organic acids and glucide contained in roots exudates of rape[A];[C];2010
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