5 papers
Dynamics of Coral-Macroalgae Interactions under Crowding
Julie C. Blackwood, Katerina Nik, Simon Nik
We study a planar ODE model for the benthic competition between coral, macroalgae, and algal turf on a reef, extending the classical model of Mumby, Hastings, and Edwards by a nonl…
Strong solutions and stability for a thin-film equation of shear-thinning fluids with contact line in partial wetting
Manuel V. Gnann, Christina Lienstromberg, Katerina Nik
We consider a power-law thin-film equation for strongly shear-thinning fluids. Weak solutions to this equation have been constructed more than twenty years ago by Ansini and Giacom…
Bernis estimates for higher-dimensional doubly-degenerate non-Newtonian thin-film equations
Christina Lienstromberg, Katerina Nik
For the doubly-degenerate parabolic non-Newtonian thin-film equation we derive (local versions) of Bernis est…
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…
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…