Stability of basic steady states of networks in bounded domains

作者：Dassios Ioannis K^*

来源：Computers & Mathematics with Applications, 2015, 70(9): 2177-2196.

DOI：10.1016/j.camwa.2015.08.011

• Network
• Curves
• Nodes
• Geometry
• Differential
• Boundary

In this article, we study the problem of a network of curves in a planar domain with the normal velocity proportional to each curvature and fixed angle conditions at the points at which the curves intersect. We introduce the evolution problem of networks, identify two cases of basic steady states in bounded and smooth domains and study their stability in terms of the geometry of the boundary.

• 出版日期2015-11