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18 papers · 2 filters
Bounded weak solutions to matrix drift-diffusion model for spin-coherent electron transport in semiconductors
Ansgar Jüngel, Claudia Negulescu, Polina Shpartko
The global-in-time existence and uniqueness of bounded weak solutions to a spinorial matrix drift-diffusion model for semiconductors is proved. Developing the electron density matr…
Electrode modelling: The effect of contact impedance
Stratos Staboulis, Jérémi Dardé
The most realistic model for current-to-voltage measurements of electrical impedance tomography is the complete electrode model which takes into account electrode shapes and contac…
A free boundary problem modeling electrostatic MEMS: II. nonlinear bending effects
Philippe Laurencot, Christoph Walker
Well-posedness of a free boundary problem for electrostatic microelectromechanical systems (MEMS) is investigated when nonlinear bending effects are taken into account. The model d…
A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types
Lukas Döring, Radu Ignat, Felix Otto
We study the Landau-Lifshitz model for the energy of multi-scale transition layers -- called "domain walls" -- in soft ferromagnetic films. Domain walls separate domains of constan…
Finite time singularity in a free boundary problem modeling MEMS
Joachim Escher, Philippe Laurencot, Christoph Walker
The occurrence of a finite time singularity is shown for a free boundary problem modeling microelectromechanical systems (MEMS) when the applied voltage exceeds some value. The mod…
Transmutation techniques and observability for time-discrete approximation schemes of conservative systems
Sylvain Ervedoza, Enrique Zuazua
In this article, we consider abstract linear conservative systems and their time-discrete counterparts. Our main result is a representation formula expressing solutions of the cont…