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math.AP2018
Touchdown is the only finite time singularity in a three-dimensional MEMS model
Philippe Laurençot, Christoph Walker
Touchdown is shown to be the only possible finite time singularity that may take place in a free boundary problem modeling a three-dimensional microelectromechanical system. The pr…
math.AP2018
On the principle of linearized stability in interpolation spaces for quasilinear evolution equations
Bogdan-Vasile Matioc, Christoph Walker
We give a proof for the asymptotic exponential stability of equilibria of quasilinear parabolic evolution equations in admissible interpolation spaces.