Long Time Existence of Solutions to an Elastic Flow of Networks

28 Jan 2019 Garcke Harald Menzel Julia Pluda Alessandra

The $L^2$--gradient flow of the elastic energy of networks leads to a Willmore type evolution law with nontrivial nonlinear boundary conditions. We show local in time existence and uniqueness for this elastic flow of networks in a Sobolev space setting under natural boundary conditions... (read more)

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