Author： Nguyen Xuan Hien
Publisher： Taylor & Francis Ltd
ISSN： 0360-5302
Source： Communications in Partial Differential Equations, Vol.34, Iss.3, 2009-03, pp. : 257-280
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
In this paper, we describe the construction of new examples of self-translating surfaces under the mean curvature flow. We find the new surfaces by desingularizing the intersection of a grim reaper and a plane to obtain approximate solutions, then we solve a perturbation problem to find the exact solutions. Our work is inspired from Kapoulea' construction of minimal surfaces but differs from it by our more abstract and direct study of the linear operator, via Fredholm operators.
Related content
Translating solitons to symplectic mean curvature flows
By Han Xiaoli
Annals of Global Analysis and Geometry, Vol. 38, Iss. 2, 2010-08 ,pp. :
Access to resources
Recommend
Alcalde Vs. Mayor: Translating the Colonial World
The Americas, Vol. 69, Iss. 3, 2013-01 ,pp. :