Touchdown is the Only Finite Time Singularity in a Three-Dimensional MEMS Model

Author:

Laurençot Philippe,Walker Christoph

Publisher

Cellule MathDoc/CEDRAM

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Reference19 articles.

1. Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems;['Amann, Herbert'];Function spaces, differential operators and nonlinear analysis (Friedrichroda, 1992),1993

2. [2] Amann, Herbert Linear and quasilinear parabolic problems. Vol. I. Abstract linear theory, Monographs in Mathematics, Volume 89, Birkhäuser, 1995, xxxvi+335 pages

3. Analytical and numerical analysis of electrostatically actuated MEMS devices;['Bernstein, David H.', 'Guidotti, Patrick', 'Pelesko, John A.'];Proceedings of Modeling and Simulation of Microsystems 2000, San Diego, CA,2000

4. Finite time singularity in a free boundary problem modeling MEMS;['Escher, Joachim', 'Laurençot, Philippe', 'Walker, Christoph'];C. R. Math. Acad. Sci. Paris,2013

5. [5] Esposito, Pierpaolo; Ghoussoub, Nassif; Guo, Yujin Mathematical analysis of partial differential equations modeling electrostatic MEMS, Courant Lecture Notes in Mathematics, Volume 20, Courant Institute of Mathematical Sciences; American Mathematical Society, 2010, xiv+318 pages

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