A variational approach to a stationary free boundary problem modeling MEMS-Reference-Cited by-同舟云学术

A variational approach to a stationary free boundary problem modeling MEMS

Published:2016-03-08 Issue:2 Volume:22 Page:417-438
ISSN:1292-8119
Container-title:ESAIM: Control, Optimisation and Calculus of Variations
language:
Short-container-title:ESAIM: COCV

Author:

Laurençot Philippe,Walker Christoph

Publisher

EDP Sciences

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Link

http://www.esaim-cocv.org/10.1051/cocv/2015012/pdf

Reference22 articles.

1. H. Amann, Multiplication in Sobolev and Besov Spaces. In Nonlinear Analysis. Scuola Norm. Sup. di Pisa Quaderni (1991) 27–50.

2. Boggio T., Sulle funzioni di Green d’ordinem.Rend. Circ. Mat. Palermo20(1905) 97–135.

3. Escher J., Laurençot Ph. and Walker Ch., Finite time singularity in a free boundary problem modeling MEMS.C. R. Acad. Sci. Paris Sér. I Math.351(2013) 807–812.

4. Escher J., Laurençot Ph. and Walker Ch., A parabolic free boundary problem modeling electrostatic MEMS.Arch. Ration. Mech. Anal.211(2014) 389–417.

5. Escher J., Laurençot Ph. and Walker Ch., Dynamics of a free boundary problem with curvature modeling electrostatic MEMS.Trans. Amer. Math. Soc.367(2015) 5693–5719.

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On a free boundary model for three-dimensional MEMS with a hinged top plate: Stationary case;Portugaliae Mathematica;2021-08-18

2. On a free boundary model for three-dimensional MEMS with a hinged top plate II: Parabolic case;Communications on Pure & Applied Analysis;2021

3. Touchdown is the Only Finite Time Singularity in a Three-Dimensional MEMS Model;Annales Mathématiques Blaise Pascal;2020-08-26

4. Shape Derivative of the Dirichlet Energy for a Transmission Problem;Archive for Rational Mechanics and Analysis;2020-04-10

5. Erratum to: A variational approach to a stationary free boundary problem modeling MEMS;ESAIM: Control, Optimisation and Calculus of Variations;2019