2 citations · 5 across the 4 of their papers we have counts for
4 papers
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}{(…
Non-Newtonian thin-film equations: global existence of solutions, gradient-flow structure and guaranteed lift-off
Peter Gladbach, Jonas Jansen, Christina Lienstromberg
We study the gradient-flow structure of a non-Newtonian thin film equation with power-law rheology. The equation is quasilinear, of fourth order and doubly-degenerate parabolic. By…
Long-time behaviour and stability for quasilinear doubly degenerate parabolic equations of higher order
Jonas Jansen, Christina Lienstromberg, Katerina Nik
We study the long-time behaviour of solutions to quasilinear doubly degenerate parabolic problems of fourth order. The equations model for instance the dynamic behaviour of a non-N…
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…