论文标题

通过沿特征角度重新调节横向纽维尔方程

Regularizing the Cross-Newell equation by re-modulating along a characteristic angle

论文作者

Burgess, Nicholas J, Bridges, Thomas J

论文摘要

提出了横向纽维尔方程的正则化。它基于沿特征的二次重新调节。这种新的特征跨新奖号不是各向同性的(具有首选的方向),而是通用(在$ \ eps $和方程式独立系数中均匀),具有第四个衍生物,并且生成了对滚动的局部解决方案。在金茨堡 - 兰道方程中重新调节卷卷用于说明该理论。

A regularization of the Cross-Newell equation is presented. It is based on a secondary re-modulation along characteristics. This new characteristic Cross-Newell equation is not isotropic (has preferred directions), but is universal (homogeneous in $\eps$ and equation independent coefficients), has fourth derivatives, and generates localized solutions that are bi-asymptotic to rolls. Re-modulation of rolls in the Ginzburg-Landau equation is used for illustration of the theory.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源