The curve shortening flow with density of a spherical curve in codimension two
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Título
The curve shortening flow with density of a spherical curve in codimension twoAutoría
Fecha de publicación
2020-10-03Editor
SpringerISSN
1424-3199Cita bibliográfica
VIÑADO-LEREU, Francisco. The curve shortening flow with density of a spherical curve in codimension two. Journal of Evolution Equations, 2020, p. 1-30.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007/s00028-020-00620-yVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
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. [-]
Publicado en
Journal of Evolution Equations (2020)Proyecto de investigación
UJI-B2018-35 ; MTM2017-84851-C2-2-P ; POSDOCA/2018/32 - grupo 041Derechos de acceso
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