A Semilinear Parabolic System Arising in the Nuclear Reactors 被引量：4

A Semilinear Parabolic System Arising in the Nuclear Reactors

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摘要 This note studies the following initial boundary value problem, which arises in the nuclear

作者顾永耕王明新

机构地区 Institute of Systems Science Institute of Applied Mathematics

出处《Chinese Science Bulletin》 SCIE EI CAS 1994年第19期1588-1592,共5页

关键词 NUCLEAR REACTOR POSITIVE STATIONARY solution THRESHOLD phenomenon. NUCLEAR REACTOR POSITIVE STATIONARY SOLUTION THRESHOLD PHENOMENON

分类号 O571 [理学—粒子物理与原子核物理]

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1GU Yonggeng (Department of Mathematics, Hunan Normal University, Changsha 410081,Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China) LIU Tong (Institute of Systems Science, Academy.A PRIOR ESTIMATE AND EXISTENCE OF POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION WITH THE THIRD BOUNDARY VALUE PROBLEM[J].Journal of Systems Science & Complexity,2001,14(4):388-398. 被引量：5
2郭斌,高文杰.一类拟线性退化抛物方程组初边值问题正解的存在性[J].数学学报（中文版）,2011,54(3):409-414. 被引量：1
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1严平,林支桂.STATIONARY STRUCTURES FOR A WEAKLY COUPLED ELLIPTIC SYSTEM ARISING IN TWO-PREDATOR, TWO-PREY MODELS[J].Acta Mathematica Scientia,2001,21(4):453-459.
2SUN Fuqin LI Fan JIA Xiuqing.Asymptotically Self-Similar Global Solutions for a Higher-Order Semilinear Parabolic System[J].Journal of Partial Differential Equations,2009,22(3):282-298. 被引量：1
3WEN-ZHEN GAN.THE EXISTENCE AND ASYMPTOTIC BEHAVIOR OF PERIODIC SOLUTIONS TO A QUASILINEAR PARABOLIC SYSTEM[J].International Journal of Biomathematics,2013,6(2):191-203.
4FANG Lin FANG Dao-yuan.A solution to parabolic system with the fractional Laplacian[J].Applied Mathematics(A Journal of Chinese Universities),2009,24(2):184-190.
5Zhengqiu Ling.BLOW-UP AND BLOW-UP RATE FOR A COUPLED SEMILINEAR PARABOLIC SYSTEM WITH NONLOCAL BOUNDARIES[J].Annals of Differential Equations,2013,29(2):151-158.
6唐仲伟.EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS FOR A NONLINEAR ELLIPTIC EQUATION ARISING IN ASTROPHYSICS[J].Acta Mathematica Scientia,2006,26(2):229-245. 被引量：1
7林支桂,谢春红,王明新.THE BLOW-UP PROPERTIES OF SOLUTIONS TO A PARABOLIC SYSTEM WITH LOCALIZED NONLINEAR REACTIONS[J].Acta Mathematica Scientia,1998,18(4):413-420. 被引量：3
8Zhigui Lin,Chunhong Xie.Blowup rate of positive solution of a semilinear parabolic system[J].Chinese Science Bulletin,1998,43(2):101-103.
9ZHANG He,KONG LingHua,ZHENG SiNing.Propagations of singularities in a parabolic system with coupling nonlocal sources[J].Science China Mathematics,2009,52(1):181-194. 被引量：10
10谢福鼎,闫振亚,张鸿庆.SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM[J].Applied Mathematics and Mechanics(English Edition),2002,23(4):380-386.

Chinese Science Bulletin

1994年第19期

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A Semilinear Parabolic System Arising in the Nuclear Reactors 被引量：4

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引证文献4

二级引证文献7

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