Asymptotic formula for the solution of the Stokes problem with a small perturbation of the domain in two and three dimensions-Reference-Cited by-同舟云学术

Asymptotic formula for the solution of the Stokes problem with a small perturbation of the domain in two and three dimensions

Published:2013-09-20 Issue:9 Volume:59 Page:1269-1282
ISSN:1747-6933
Container-title:Complex Variables and Elliptic Equations
language:en
Short-container-title:Complex Variables and Elliptic Equations

Author:

Luong Thi Hong Cam,Daveau Christian

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

http://www.tandfonline.com/doi/pdf/10.1080/17476933.2013.831846

Reference11 articles.

1. Conductivity interface problems. Part I: Small perturbations of an interface

2. Kress R. Linear integral equations. 2nd ed. Vol. 82, New York (NY): Springer-Verlag; 1999, XIV, 388 p. 1 illus.

3. Fabes E, Kang H, Seoi JK. Inverse conductivity problem with one measurement: error estimates and approximate identification for perturbed disks. Siam J. Math. Anal. 1999;30:699–720.

4. Borchers W, Varnhorn W. On the boundedness of the Stokes semigroup in two-dimension exterior domains. Math. Zeitschrift. 1993;213:275–299.

5. Varhorn W. An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions. Manuscripta Math. 1991;70:339–361.

Cited by 5 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. Identification of deformable droplets from boundary measurements: the case of non-stationary Stokes problem;Inverse Problems in Science and Engineering;2021-12-09

2. Small pertubations of an interface for Stokes system;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2020-01-02

3. Asymptotic expansion of the solution of a transmission problem for the Stokes system with a small boundary perturbation for an inclusion;Complex Variables and Elliptic Equations;2019-02-27

4. Effective Fluid Behavior in Domain with Rough Boundary and the Darcy--Weisbach Law;SIAM Journal on Applied Mathematics;2019-01

5. Effects of small boundary perturbation on flow of viscous fluid;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2016-01-13