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

DOI10.1080/17476933.2013.831846zbMath1308.35037arXiv1304.2609OpenAlexW2043513213MaRDI QIDQ5495708

Thi Hong Cam Luong, Christian Daveau

Publication date: 6 August 2014

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

Full work available at URL: https://arxiv.org/abs/1304.2609

zbMATH Keywords

nonhomogeneous Dirichlet boundary conditionslayer potentials

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Perturbations in context of PDEs (35B20)

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Cites Work

• An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions
• An introduction to mathematics of emerging biomedical imaging
• On the boundedness of the Stokes semigroup in two-dimensional exterior domains
• A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements
• Conductivity interface problems. Part I: Small perturbations of an interface
• Inverse Conductivity Problem with One Measurement: Error Estimates and Approximate Identification for Perturbed Disks