3 papers
math.DS2026
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…
math.AP2026
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…
math.AP2024
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 e…