Pattern‐forming fronts in a Swift–Hohenberg equation with directional quenching — parallel and oblique stripes
Pattern‐forming fronts in a Swift–Hohenberg equation with directional quenching — parallel and oblique stripes
复制标题
具有定向淬火的 Swift-Hohenberg 方程中的图案形成前沿 — 平行和倾斜条纹
DOI：
10.1112/jlms.12122
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
A. Scheel
中科院分区：
文献类型：
--
作者：
Ryan N. Goh;A. Scheel
我们研究了 Swift-Hohenberg 方程中磁畴生长对条纹相取向的影响。域生长以阶梯状参数依赖性进行编码，允许在半平面中形成条纹，并抑制补体中的图案，而图案形成区域的边界以固定的法向速度传播。我们构建了前解决方案，在图案形成区域留下平行于边界或与边界成小斜角的条纹。
We study the effect of domain growth on the orientation of striped phases in a Swift–Hohenberg equation. Domain growth is encoded in a step‐like parameter dependence that allows stripe formation in a half plane, and suppresses patterns in the complement, while the boundary of the pattern‐forming region is propagating with fixed normal velocity. We construct front solutions that leave behind stripes in the pattern‐forming region that are parallel to or at a small oblique angle to the boundary.