Asymptotic expansion of the solution of a transmission problem for the Stokes system with a small boundary perturbation for an inclusion

DOI10.1080/17476933.2019.1574770zbMath1432.35161OpenAlexW2917476968WikidataQ128308370 ScholiaQ128308370MaRDI QIDQ5239199

Imen Balloumi, Christian Daveau

Publication date: 22 October 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1574770

zbMATH Keywords

asymptotic expansionsStokes systemsmall perturbationtransmission problemlayer potentials

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Perturbations in context of PDEs (35B20)

Cites Work

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• Boundary voltage perturbations resulting from small surface changes of a conductivity inclusion
• Asymptotic formula for the solution of the Stokes problem with a small perturbation of the domain in two and three dimensions
• Linear integral equations
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