The curve shortening flow with density of a spherical curve in codimension two
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Title
The curve shortening flow with density of a spherical curve in codimension twoAuthor (s)
Date
2020-10-03Publisher
SpringerISSN
1424-3199Bibliographic citation
VIÑADO-LEREU, Francisco. The curve shortening flow with density of a spherical curve in codimension two. Journal of Evolution Equations, 2020, p. 1-30.Type
info:eu-repo/semantics/articlePublisher version
https://link.springer.com/article/10.1007/s00028-020-00620-yVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
In the present paper we carry out a systematic study about the flow of a spherical curve by the
mean curvature flow with density in a 3-dimensional rotationally symmetric space with density (M3
w, gw,ξ)
where the ... [+]
In the present paper we carry out a systematic study about the flow of a spherical curve by the
mean curvature flow with density in a 3-dimensional rotationally symmetric space with density (M3
w, gw,ξ)
where the density ξ decomposes as sum of a radial part ϕ and an angular part ψ. We analyse how either
the parabolicity or the hyperbolicity of (M3
w, gw) conditions the behaviour of the flow when the solution
goes to infinity. [-]
Is part of
Journal of Evolution Equations (2020)Investigation project
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