4 citations
- Institut de Mathématiques de ToulouseFR5 papers
- Universidade Federal do AmazonasBR4 papers
- Fraunhofer Institute for Manufacturing Technology and Advanced MaterialsDE2 papers
- Universidade Federal de LavrasBR2 papers
- University of HaifaIL2 papers
- Centre de Recherche en Mathématiques de la DécisionFR1 paper
- Institute of Applied MathematicsRU1 paper
- Institut National des Sciences Appliquées de ToulouseFR1 paper
- Instituto Federal do Rio de JaneiroBR1 paper
- Instituto Federal FluminenseBR1 paper
- Karlsruhe Institute of TechnologyDE1 paper
- Leibniz University HannoverDE1 paper
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math.AP2013
A free boundary problem modeling electrostatic MEMS: I. Linear bending effects
Philippe Laurencot, Christoph Walker
The dynamical and stationary behaviors of a fourth-order evolution equation with clamped boundary conditions and a singular nonlocal reaction term, which is coupled to an elliptic…
math.AP2013★ 4 cited
Sign-Preserving Property for Some Fourth-Order Elliptic Operators in One Dimension and Radial Symmetry
Philippe Laurencot, Christoph Walker
For a class of one-dimensional linear elliptic fourth-order equations with homogeneous Dirichlet boundary conditions it is shown that a non-positive and non-vanishing right-hand si…
math.AP2013
Dynamics of a free boundary problem with curvature modeling electrostatic MEMS
Joachim Escher, Philippe Laurencot, Christoph Walker
The dynamics of a free boundary problem for electrostatically actuated microelectromechanical systems (MEMS) is investigated. The model couples the electric potential to the deform…