Traveling Curved Fronts of Anisotropic Curvature Flows
Marutani, Yoshiko ; Ninomiya, Hirokazu ; Weidenfeld, Rémi
Japan J. Indust. Appl. Math., Tome 23 (2006) no. 1, p. 83-104 / Harvested from Project Euclid
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In this paper, the anisotropic curvature flows with driving force are considered. The existence of traveling curved fronts is shown by constructing supersolutions and subsolutions. By the advantage of this method, their global stability is also proved. In the last section the profiles of the traveling fronts are discussed when the anisotropy becomes strong and converges to a non-smooth function.
Publié le : 2006-02-14
Classification:  traveling wave,  curvature flow,  anisotropy 
@article{1150725473,
     author = {Marutani, Yoshiko and Ninomiya, Hirokazu and Weidenfeld, R\'emi},
     title = {Traveling Curved Fronts of Anisotropic Curvature Flows},
     journal = {Japan J. Indust. Appl. Math.},
     volume = {23},
     number = {1},
     year = {2006},
     pages = { 83-104},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1150725473}
}

Marutani, Yoshiko; Ninomiya, Hirokazu; Weidenfeld, Rémi. Traveling Curved Fronts of Anisotropic Curvature Flows. Japan J. Indust. Appl. Math., Tome 23 (2006) no. 1, pp.  83-104. http://gdmltest.u-ga.fr/item/1150725473/