A survey on second order free boundary value problems modelling MEMS with general permittivity profile

Joachim Escher;  ; Christina Lienstromberg

doi:10.3934/dcdss.2017038

A survey on second order free boundary value problems modelling MEMS with general permittivity profile

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2017038 ◽

2017 ◽

Vol 10 (4) ◽

pp. 745-771 ◽

Cited By ~ 1

Author(s):

Joachim Escher ◽

◽

Christina Lienstromberg

Keyword(s):

Free Boundary ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Free Boundary Value Problems ◽

General Permittivity Profile

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Travelling Fronts and Free Boundary Value Problems

Numerical Treatment of Free Boundary Value Problems / Numerische Behandlung freier Randwertaufgaben - International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique ◽

10.1007/978-3-0348-6563-0_7 ◽

1982 ◽

pp. 90-107 ◽

Cited By ~ 7

Author(s):

K. P. Hadeler

Keyword(s):

Free Boundary ◽

Boundary Value Problems ◽

Boundary Value ◽

Free Boundary Value Problems ◽

Travelling Fronts

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Free Boundary Value Problems Arising in Composite Masonry Structures

Mathematical Models for Phase Change Problems ◽

10.1007/978-3-0348-9148-6_18 ◽

1989 ◽

pp. 357-376

Author(s):

C. C. Baniotopoulos

Keyword(s):

Free Boundary ◽

Boundary Value Problems ◽

Boundary Value ◽

Masonry Structures ◽

Free Boundary Value Problems

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Free Boundary Value Problems for the Stationary Navier-Stokes Equations in Domains with Noncompact Boundaries

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/554 ◽

1993 ◽

Vol 12 (3) ◽

pp. 425-455 ◽

Cited By ~ 1

Author(s):

R.S. Gellrich

Keyword(s):

Free Boundary ◽

Boundary Value Problems ◽

Stokes Equations ◽

Boundary Value ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Free Boundary Value Problems ◽

Stationary Navier Stokes Equations

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Numerical solution of Bernoulli-type free boundary value problems by variable domain method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620372407 ◽

1994 ◽

Vol 37 (24) ◽

pp. 4219-4245 ◽

Cited By ~ 9

Author(s):

George Mejak

Keyword(s):

Free Boundary ◽

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Variable Domain ◽

Domain Method ◽

Free Boundary Value Problems

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Numerical Treatment of Free Boundary Value Problems / Numerische Behandlung freier Randwertaufgaben

10.1007/978-3-0348-6563-0 ◽

1982 ◽

Cited By ~ 2

Keyword(s):

Free Boundary ◽

Boundary Value Problems ◽

Boundary Value ◽

Numerical Treatment ◽

Free Boundary Value Problems

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Free boundary value problems for abstract elliptic equations and applications

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-011-0667-y ◽

2011 ◽

Vol 32 (5) ◽

pp. 749-770

Author(s):

Veli Shakhmurov

Keyword(s):

Free Boundary ◽

Boundary Value Problems ◽

Elliptic Equations ◽

Boundary Value ◽

Free Boundary Value Problems

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Numerical Solutions for Some Free Boundary Value Problems Occuring in Planar Fluid Dynamics

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/587 ◽

1992 ◽

Vol 11 (4) ◽

pp. 531-537

Author(s):

Leroy Lundin ◽

Wen Guochun

Keyword(s):

Fluid Dynamics ◽

Free Boundary ◽

Boundary Value Problems ◽

Numerical Solutions ◽

Boundary Value ◽

Free Boundary Value Problems

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Monotonicity and free boundary value problems

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0094162 ◽

1980 ◽

pp. 33-45 ◽

Cited By ~ 1

Author(s):

L. Collatz

Keyword(s):

Free Boundary ◽

Boundary Value Problems ◽

Boundary Value ◽

Free Boundary Value Problems

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Numerical treatment of moving and free boundary value problems with the tau method

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(98)00044-3 ◽

1998 ◽

Vol 35 (8) ◽

pp. 53-61 ◽

Cited By ~ 20

Author(s):

M.H. AliAbadi ◽

E.L. Ortiz

Keyword(s):

Free Boundary ◽

Boundary Value Problems ◽

Boundary Value ◽

Tau Method ◽

Numerical Treatment ◽

Free Boundary Value Problems

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Free boundary value problems for analytic functions in the closed unit disk

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-99-04960-6 ◽

1999 ◽

Vol 127 (11) ◽

pp. 3287-3294 ◽

Cited By ~ 8

Author(s):

Richard Fournier ◽

Stephan Ruscheweyh

Keyword(s):

Free Boundary ◽

Boundary Value Problems ◽

Unit Disk ◽

Analytic Functions ◽

Boundary Value ◽

Closed Unit Disk ◽

Free Boundary Value Problems

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