当前位置: X-MOL 学术Math. Nachr. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Advection‐diffusion dynamics with nonlinear boundary flux as a model for crystal growth
Mathematische Nachrichten ( IF 0.8 ) Pub Date : 2020-06-15 , DOI: 10.1002/mana.201900159
Antoine Pauthier 1, 2 , Arnd Scheel 1
Affiliation  

We analyze the effect of nonlinear boundary conditions on an advection-diffusion equation on the half-line. Our model is inspired by models for crystal growth where diffusion models diffusive relaxation of a displacement field, advection is induced by apical growth, and boundary conditions incorporate non-adiabatic effects on displacement at the boundary. The equation, in particular the boundary fluxes, possesses a discrete gauge symmetry, and we study the role of simple, entire solutions, here periodic, homoclinic, or heteroclinic relative to this gauge symmetry, in the global dynamics.

中文翻译:

具有非线性边界通量的对流扩散动力学作为晶体生长模型

我们分析了非线性边界条件对半线上的对流扩散方程的影响。我们的模型受到晶体生长模型的启发,其中扩散模拟位移场的扩散弛豫,由顶端生长引起的平流,并且边界条件结合了对边界位移的非绝热效应。该方程,特别是边界通量,具有离散规范对称性,我们研究简单的、完整的解,这里是周期的、同宿的或异宿的,相对于这种规范对称性,在全局动力学中的作用。
更新日期:2020-06-15
down
wechat
bug