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math.AP2024
Thermocapillary Thin Films: Periodic Steady States and Film Rupture
Gabriele Brüll, Bastian Hilder, Jonas Jansen
We study stationary, periodic solutions to the thermocapillary thin-film model \begin{equation*} \partial_t h + \partial_x \Bigl(h^3(\partial_x^3 h - g\partial_x h) + M\frac{h^2}{(…
math.AP2024
Convergence rates and fluctuations for the Stokes-Brinkman equations as homogenization limit in perforated domains
Richard M. Höfer, Jonas Jansen
We study the homogenization of the Dirichlet problem for the Stokes equations in perforated by spherical particles. We assume the positions and velocities of the…