1 citations · 1 across the 4 of their papers we have counts for
5 papers
On the principle of linearized stability for quasilinear evolution equations in time-weighted spaces
Bogdan-Vasile Matioc, Lina Sophie Schmitz, Christoph Walker
Quasilinear (and semilinear) parabolic problems of the form with strict inclusion of the domains of the function $v\maps…
Stationary Soap Film Bridge Subjected to an Electrostatic Force: The Balanced Case
Lina Sophie Schmitz
We analytically study a stationary free boundary problem describing a soap film bridge subjected to an electrostatic force. Starting from a cylinder that the soap film forms if its…
Stationary Soap Film Bridge Formed by a Small Electrostatic Force
Lina Sophie Schmitz
We consider two models, a free boundary problem and a simplification thereof, which describe a soap film bridge subjected to an electrostatic force. For both models, we construct s…
Dynamical Behaviour of a Soap Film Bridge Driven by an Electrostatic Force
Lina Sophie Schmitz
We study a free boundary problem describing a tubular soap film bridge driven by an electrostatic force. To realize the electrostatic force, the soap film bridge is placed inside a…
Recovering Initial States in Semilinear Parabolic Problems from Time-Averages
Lina Sophie Schmitz, Christoph Walker
Well-posedness of certain semilinear parabolic problems with nonlocal initial conditions is shown in time-weighted spaces. The result is applied to recover the initial states in se…