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《Journal of Sichuan Normal University(Natural Science)》 2008-06
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Uniform Blow-up Properties for a Parabolic System with Nonlocal Sources

JIANG Liang-jun1,LI Hui-ling2(1.Department of Mathematics,Nanjing Xiaozhuang College,Nanjing 210017,Jiangsu;2.Department of Mathematics,Southeast University,Nanjing 210018,Jiangsu)  
In this paper,the blow-up properties of positive solutions to semilinear parabolic systems with nonlocal sources,satisfying homogeneous Dirichlet boundary conditions are investigated.The sufficient conditions on the blow-up in a finite time of solutions and a necessary condition for the two components of the solution to blow-up simultaneously are firstly obtained,and then the uniform blow-up profile in the interior is established.
【Fund】: 国家自然科学基金(107010024)资助项目;; 南京晓庄学院科研基金的资助
【CateGory Index】: O175.26
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【Citations】
Chinese Journal Full-text Database 6 Hits
1 XU Hong-ying,ZHANG Hui(College of Mathematics,Sichuan University,Chengdu 610064,Sichuan);Blow-up Rate Estimation of Solution to a Nonlocal Parabolic System[J];Journal of Sichuan Normal University(Natural Science);2006-01
2 TIAN Li-ping1,2, LIN Hong-xia2(1. College of Mathematics, Sichuan University, Chengdu 610064, Sichuan;2. Department of Basic Courses, Southwest Jiaotong University, Emei 614202, Sichuan);Global Existence and Blow-up for Degenerate and Singular Semilinear Parabolic System with Nonlocal Source[J];Journal of Sichuan Normal University(Natural Science);2007-01
3 Zhang Jian(Department of Mathematics, Sichuan Normal University, Chengdu 610066, Sichuan);FINITE-TIME BEHAVIOR OF SOLUTIONS TO NONLOCAL REACTION-DIFFUSION EQUATIONS[J];JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE);1995-03
4 LIN Hong-xia1, ZHU Chao-sheng2 1College of Mathematics, Sichuan University, Chengdu Sichuan 610064, China; 2School of Mathematics and Finance, Southwest University, Chongqing 400715, China;Global Existence and Blow-up for a Nonlocal Reaction-Diffusion System[J];Journal of Southwest China Normal University(Natural Science);2005-05
5 LU Qiu-ci~1,ZENG You-dong~21.Dept.of Basic Education,Nanping College,Nanping Fujian 353000,China;2.Dept.of Mathematics,Fuzhou University,Fuzhou 350002,China;Blow-up for Degenerate and Singular Semilinear Parabolic Systems with Nonlocal Source[J];Journal of Southwest China Normal University(Natural Science Edition);2006-06
6 LI Zhong-ping~(1,2) WANG Xiong-rui~3 ZHOU Jun~(1,4) 1.School of Mathematics,Sichuan University,Chengdu Sichuan 610064,China;2.School of Mathematics and Information,China West Normal University,Nanchong Sichuan 637002,China;3.Dept.of Mathematics,Yibin College,Yibin Sichuan 644007,China;4.School of mathematics and statistics,Southwest University,Chongqing 400715,China;Global Existence and Blow-up for a Localized Reaction-Diffusion System[J];Journal of Southwest China Normal University(Natural Science Edition);2007-03
【Co-citations】
Chinese Journal Full-text Database 5 Hits
1 WANG Wen-hai1,YUAN Jian2(1.Department of Mathematics and Physics,Xi'an Technological University,Xi'an 710032,China;2.Department of Fundamental Courses,Xi'an Conservatory of Music,Xi'an 710061,China);Uniform Blow-up for Nonlocal Parabolic Systems[J];Journal of Qingdao Technological University;2008-03
2 LI Yu-huan(College of Mathmatics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);Blow-up and Gradient Blow-up for Nonlinear Parabolic Equation with General Boundary Condition[J];Journal of Sichuan Normal University(Natural Science);2007-02
3 TIAN Li-ping 1,GUO Yong-hong 2(1.Basic Department of Mathematics,Southwest Jiaotong University,Emei 614202,P.R.C.;2.MeiShan Vocational and Technical College,Meishan 610020,P.R.C.);Blow-up for degenerate and singular parabolic systems with nonlocal source[J];Journal of Southwest University for Nationalities(Natural Science Edition);2008-02
4 ZHANG Jing-jun~1 LI Hong-jie~(1,2) MA Zong-wei~1 1.College of Mathematies and Information Engineering,Jiaxing University,Zhejiang 314001,China 2.College of Information Science and Technology,Donghua University,Shanghai 200051,China;Large Instantaneous Shrinking of the Support for Solutions to Certain Semilinear Heat Equations[J];Journal of Southwest China Normal University(Natural Science Edition);2008-05
5 ZHANG Yan1,PU Zhi-lin2,CHEN Bo-tao31.School of Mathematics and Computer Science,Xihua University,Chengdu 610039,China;2.School of Mathematics and Software,Sichuan Normal University,Chengdu 610066,China;3.Department of Mathematics,Changjiang Teacher's College,Chongqing 408000,Chin;Boundedness of the Solution to the Nonlinear Kirchhoff Equation[J];Journal of Southwest China Normal University(Natural Science Edition);2008-06
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 ZHANG Hui,XU Hong-ying (College of Mathematics,Sichuan University,Chengdu 610064,Sichuan);Global Existence and Blow-up of Solution to a Nonlocal Parabolic System[J];Journal of Sichuan Normal University(Natural Science);2005-06
2 You Peng CHEN (College of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, P. R. China) Chun Hong XIE (Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China);Blow-up for Degenerate and Singular Semilinear Parabolic Equations with Nonlocal Source[J];Acta Mathematica Sinica;2004-01
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