有限速度定向淬火的水平斑图
Horizontal patterns from finite speed directional quenching
摘要：
在本文中，我们研究的过程中，从定向淬火相分离，被认为是一个外部触发的参数变化，改变系统从单稳态到双稳态的接口;在这里提出的情况下，接口移动速度$c$在这样一种方式，双稳态区域的增长，这是最物理相关的情况。根据文献中先前的结果（来自定向淬火的相分离模式，非线性科学杂志，2017年，Monteiro，R.和Scheel，A.），当$c \gtrsim0$时，存在几种模式，在这里我们研究了它们对于有限$c>0$的持续性，阐明了与猝灭前沿的速度$c$相关的模式选择机制。
英文摘要：
In this paper we study the process of phase separation from directional quenching, considered as an externally triggered variation in parameters that changes the system from monostable to bistable across an interface; in the case presented here the interface moves with speed $c$ in such a way that the bistable region grows, which is the most physically relevant scenario. According to previous results in the literature (Phase separation patterns from directional quenching, Journal of Nonlinear Science, 2017, by Monteiro, R. and Scheel, A.), several patterns exist when $c \gtrsim0$, and here we investigate their persistence for finite $c>0$, clarifying the pattern selection mechanism related to the speed $c$ of the quenching front.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
