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Brusselator方程解的存在性和稳定性(英文) 被引量:3

EXISTENCE AND STABILITY OF REACTION-DIFFUSION SYSTEMS IN BRUSSELATOR EQUATION
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摘要 本文研究了一种Brusselator方程的性质。用不变区域证明了解的全局存在性 ,并通过构造上下解给出了非常数定态解渐进稳定的条件。最后推出吸引域 . In this article, a kind of Brusselator equation is considered. The global existence of its solutions is proved by invariant domain, and the conditions of asymptotic stability of its non-constant steady solutions are given by constructing upper and lower solutions. A attract region is also given as a corollary.
出处 《数学杂志》 CSCD 北大核心 2002年第2期147-152,共6页 Journal of Mathematics
基金 theNationalNaturalScienceFoundationofChina (G19990 75 10 7)
关键词 Brusselator方程 存在性 稳定性 不变区域 特征值 Invariant domain upper and lower solutions eigenvalue
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参考文献5

  • 1[1]Ye Qixiao and Li Zhengyuan. Introduction to Reaction- Diffusion Equations[M]. Beijing: Science Press, 1990 (inChinese)
  • 2[2]C. V. Pao. Asymptotic stabaity and nonexistence of global solutions for a semilinear equations [J]. Pacific J.Math., 84(1979), 191 ~ 197
  • 3[3]J. D. Murray. Mathematical Biology[M]. Beijing: Beijing World Publishing Corporation, 1998.
  • 4[4]Rabinowitz P. H. Some global results for nonlinear eigenvalue problems[J]. J. Funct. Anal., 7(1971), 487 ~513
  • 5[5]H. F. Weinberger., Invariant sets for weakly coupled parabolic and elliptic systems[J]. Rendicontidi Matematica,Se rie Ⅵ, 8(1975), 295 ~ 310

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