%0 Journal Article %1 MR3351019 %A Lienstromberg, Christina %D 2015 %J Nonlinear Anal. Real World Appl. %K Lienstromberg IADM systems microelectromechanical from:elkepeter modelling %P 190--218 %R 10.1016/j.nonrwa.2015.03.008 %T A free boundary value problem modelling microelectromechanical systems with general permittivity %U https://doi.org/10.1016/j.nonrwa.2015.03.008 %V 25 %X "An investigation of the free boundary value problem arising from the modelling of electrostatically actuated microelectromechanical systems with general permittivity is presented. Consisting of a parabolic evolution problem for the displacement of a membrane as well as of an elliptic moving boundary problem for the electric potential between the membrane and a rigid ground plate, the system is shown to be well-posed locally in time for all values λ of the applied voltage. It is in addition verified that the solution exists even globally in time, provided that the applied voltage does not exceed a certain critical value λ∗. Furthermore, we establish the convergence of the solution of the free boundary problem towards the solution of the small-aspect ratio model, as the aspect ratio tends to zero.''

@article{MR3351019, abstract = {"An investigation of the free boundary value problem arising from the modelling of electrostatically actuated microelectromechanical systems with general permittivity is presented. Consisting of a parabolic evolution problem for the displacement of a membrane as well as of an elliptic moving boundary problem for the electric potential between the membrane and a rigid ground plate, the system is shown to be well-posed locally in time for all values λ of the applied voltage. It is in addition verified that the solution exists even globally in time, provided that the applied voltage does not exceed a certain critical value λ∗. Furthermore, we establish the convergence of the solution of the free boundary problem towards the solution of the small-aspect ratio model, as the aspect ratio tends to zero.''}, added-at = {2023-03-27T11:16:57.000+0200}, author = {Lienstromberg, Christina}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/24ab373b3951cb18a5f9702118a34d49d/mathematik}, doi = {10.1016/j.nonrwa.2015.03.008}, fjournal = {Nonlinear Analysis. Real World Applications. An International Multidisciplinary Journal}, interhash = {84483b643ead525206ab514ded959ebc}, intrahash = {4ab373b3951cb18a5f9702118a34d49d}, issn = {1468-1218}, journal = {Nonlinear Anal. Real World Appl.}, keywords = {Lienstromberg IADM systems microelectromechanical from:elkepeter modelling}, mrclass = {35R35 (35K55 35M30)}, mrnumber = {3351019}, pages = {190--218}, timestamp = {2023-12-05T17:17:37.000+0100}, title = {A free boundary value problem modelling microelectromechanical systems with general permittivity}, url = {https://doi.org/10.1016/j.nonrwa.2015.03.008}, volume = 25, year = 2015 }