2 papers
math.AP2024
On an obstacle problem for the Brakke flow with a generalized right-angle boundary condition
Katerina Nik, Keisuke Takasao
We study Brakke's mean curvature flow with obstacles and with a right-angle boundary condition. Assuming that the obstacles have -boundaries we prove that a weak solution…
math.AP2024
An existence result for accretive growth in elastic solids
Elisa Davoli, Katerina Nik, Ulisse Stefanelli +1
We investigate a model for the accretive growth of an elastic solid. The reference configuration of the body is accreted in its normal direction, with space- and deformation-depend…