[1] S. Esedo¯
glu and F. Otto, Threshold dynamics for networks with arbitrary surface
tensions. Comm. Pure Appl. Math. 68 (2015), no. 5, 808–864.
[2] Y. Giga, N. Ishimura and Y. Kohsaka, Spiral solutions for a weakly anisotropic curvature flow equation. Adv. Math. Sci. Appl. 12 (2002), no. 1, 393–408.
[3] D. Gilbarg, N. S. Trudinger, Elliptic partial differential equations of second order.
Reprint of the 1998 edition. Classics in Mathematics. Springer-Verlag, Berlin, 2001.
xiv+517 pp.
[4] C. Mantegazza, M. Novaga and V. M. Tortorelli, Motion by curvature of planar
networks. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 3 (2004), no. 2, 235–324.
[5] T. Ogiwara, D. Hilhorst and H. Matano, Convergence and structure theorems for
order-preserving dynamical systems with mass conservation. Discrete Contin. Dyn.
Syst. 40 (2020), no. 6, 3883–3907.
18
YOSHIKAZU GIGA AND YUKI UEDA
[6] T. Ogiwara and H. Matano, Monotonicity and convergence results in order-preserving
systems in the presence of symmetry. Discrete Contin. Dynam. Systems 5 (1999),
no. 1, 1–34.
[7] T. Ogiwara and K.-I. Nakamura, Spiral traveling wave solutions of some parabolic
equations on annuli. Josai Math. Monogr., 2, Josai University, Graduate School of
Science, Sakado, 2000, 15–34.
[8] R. I. Saye and J. A. Sethian, Multiscale modeling of membrane rearrangement,
drainage, and rupture in evolving foams. Science 340 (2013), no. 6133, 720–724.
Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba
Meguro-ku, Tokyo 153-8914, Japan
Email address: labgiga@ms.u-tokyo.ac.jp
Research Institute for Electronic Science, Hokkaido University, N12W7, KitaWard Sapporo, Hokkaido 060-0812, Japan
Email address: yukiueda@es.hokudai.ac.jp
...