论文标题

在封闭歧管中的体积约束下,艾伦-CAHN方程解决方案的解决方案的通用非修饰性

Generic nondegeneracy for solutions of the Allen-Cahn equation under a volume constraint in closed manifolds

论文作者

Ramos, Gustavo de Paula

论文摘要

令$ m^n $为连接的封闭平滑流形,其中$ n \ geq 2 $。在本文中,我们适应了Micheletti和Pistoia(2009)以及Ghimenti和Micheletti(2011)的技术,以证明van der waals-Allen-Cahn-Hilliard方程在$ m $中的体积约束下的通用解决方案。

Let $M^n$ be a connected closed smooth manifold, where $n\geq 2$. In this article, we adapt the techniques in Micheletti and Pistoia (2009) and Ghimenti and Micheletti (2011) to prove the generic nondegeneracy for solutions of the Van der Waals-Allen-Cahn-Hilliard equation under a volume constraint in $M$.

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