Bifurcation for a free boundary problem modeling a protocell

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• 作者：Hua Zhang ; Changzheng Qu ; Bei Hu
• 关键词：Free boundary problem ; Stationary solution ; Bifurcation ; Symmetry breaking ; Protocell
• 刊名：Nonlinear Analysis
• 出版年：2009
• 出版时间：1 April 2009
• 年：2009
• 卷：70
• 期：7
• 页码：2779-2795
• 全文大小：858 K

文摘

In this paper we consider a free boundary problem for a physico-chemical model of a protocell. This model of a self-maintaining unity or a protocell is based on the reaction and diffusion process, and a mechanism of self-control of the boundary. For any positive radius R, there exists a radially symmetric solution with radius r=R. In the more realistic three-space-dimensional case, we give a proof that there exist symmetry-breaking bifurcation branches of solutions with free boundary for small , where Y_n,0 is the spherical harmonic of mode (n,0).