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ANALYSES FOR A MATHEMATICAL MODEL OF THE PATTERN FORMATION ON SHELLS OF MOLLUSCS

ANALYSES FOR A MATHEMATICAL MODEL OF THE PATTERN FORMATION ON SHELLS OF MOLLUSCS
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摘要 This paper analyses a mathematical model of the pattern formation on the shell of molluscs which is actually a kind of reaction-diffusion system. The existence and uniqueness of a global smooth solution of this system with Cauchy problem and its stability and time decay rate are studied by means of an elementary energy method. This paper analyses a mathematical model of the pattern formation on the shell of molluscs which is actually a kind of reaction-diffusion system. The existence and uniqueness of a global smooth solution of this system with Cauchy problem and its stability and time decay rate are studied by means of an elementary energy method.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1995年第4期411-418,共8页 高校应用数学学报(英文版)(B辑)
关键词 Reaction-diffusion equations smooth solutions asymptotic stability. Reaction-diffusion equations, smooth solutions, asymptotic stability.
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