Counting the set of equilibria for a one-dimensional full model for phase transitions with microscopic movements
Counting the set of equilibria for a one-dimensional full model for phase transitions with microscopic movements
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DOI：
10.1090/s0033-569x-2012-01257-3
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发表时间：
2012-06
影响因子：
0.8
通讯作者：
Jie Jiang;Yanyan Zhang
中科院分区：
文献类型：
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作者：
Jie Jiang;Yanyan Zhang
。本文从微观运动相变的研究出发，研究一维强非线性PDE系统的稳态问题。利用平面分析法，证明了平衡点的数目最多是无限可数的。进一步证明了演化系统的全局解在t→+∞时收敛于H 3 × H 1的平衡点。
. This paper is concerned with the steady states of a one-dimensional strongly nonlinear PDE system arising from the study of phase transitions with microscopic movements. Using the plane analysis method, we prove that the number of equilibria is at most infinitely countable. Furthermore, we show that the global solution to the evolution system converges to an equilibrium in H 3 × H 1 as t → + ∞ .