Existence of Non-convex Traveling Waves for Surface Diffusion of Curves with Constant Contact Angles

Author:

Kagaya TakashiORCID,Kohsaka Yoshihito

Funder

Japan Society for the Promotion of Science

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference23 articles.

1. Asai, T., Giga, Y.: On self-similar solutions to the surface diffusion flow equations with contact angle boundary conditions. Interfaces Free Bound. 16(4), 539–573, 2014

2. Chang, Y.-L., Guo, J.-S., Kohsaka, Y.: On a two-point free boundary problem for a quasilinear parabolic equation. Asymptot. Anal. 34(3–4), 333–358, 2003

3. Chen, X., Guo, J.-S.: Motion by curvature of planar curves with end points moving freely on a line. Math. Ann. 350(2), 277–311, 2011

4. Coddington, E.A., Levinson, N.: Theory of Ordinary Differential Equations. McGraw-Hill, New York 1955

5. Elliott, C.M., Garcke, H.: Existence results for diffusive surface motion laws. Adv. Math. Sci. Appl. 7(1), 465–488, 1997

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