Titlebook: Variational Problems in Riemannian Geometry; Bubbles, Scans and G Paul Baird,Ali Fardoun,Ahmad Soufi Conference proceedings 2004 Springer B

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Evolution by Curvature of Networks of Curves in the Planehese networks of curves is the simplest example of curvature flow for sets which are “essentially” non regular..In this paper, we introduce the problem and we present some results and open problems about existence, uniqueness and, in particular, the global regularity of the flow.

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Application of Scans and Fractional Power Integrandsere first introduced in the work [HR1] of Tristan Rivière and the second author to adequately describe certain bubbling phenomena. There, the behaviour of certain .. weakly convergent sequences of smooth maps from four-dimensional domains into .. led to the consideration of a necessarily infinite ma

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Bubbling of Almost-harmonic Maps between 2-spheres at Points of Zero Energy Densitythe domain at which the energy density of the body map is zero. We also see that this translates into different behaviour for the harmonic map flow. In [11] we obtained results, assuming nonzero bubble point density for certain bubbles, forcing the harmonic map flow to converge uniformly and exponen

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