Vanishing porosity limit of the coupled Stokes-Brinkman system

Fei，Mingwen1; Niu，Dongjuan2; Wang，Xiaoming3

2020-06-15

10.1016/j.jmaa.2020.123895

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS   影响因子和分区

0022-247X

1096-0813

We investigate the small porosity asymptotic behavior of the coupled Stokes-Brinkman system in the presence of a curved interface between the Stokes region and the Brinkman region. In particular, we derive a set of approximate solutions, validated via rigorous analysis, to the coupled Stokes-Brinkman system. Of particular interest is that the approximate solution satisfies a generalized Beavers-Joseph-Saffman-Jones interface condition (1.9) with the constant of proportionality independent of the curvature of the interface.

Beavers-Joseph-Saffman-Jones interface condition Brinkman equations Porosity Stokes equations

SCI

英语

通讯

[NSFC11871159]

Mathematics

Mathematics, Applied ; Mathematics

WOS:000519337100022

ACADEMIC PRESS INC ELSEVIER SCIENCE

MATHEMATICS

2-s2.0-85078821773

Scopus

1.School of Mathematics and Statistics,Anhui Normal University,Wuhu,241002,China
2.School of Mathematical Sciences,Capital Normal University,Beijing,100048,China
3.Department of Mathematics,SUSTech International Center for Mathematics,Southern University of Science and Technology,Shenzhen,518055,China

Fei，Mingwen,Niu，Dongjuan,Wang，Xiaoming. Vanishing porosity limit of the coupled Stokes-Brinkman system[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,486(2).

Fei，Mingwen,Niu，Dongjuan,&Wang，Xiaoming.(2020).Vanishing porosity limit of the coupled Stokes-Brinkman system.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,486(2).

Fei，Mingwen,et al."Vanishing porosity limit of the coupled Stokes-Brinkman system".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 486.2(2020).