Stable determination of a body immersed in a fluid: the nonlinear stationary case

DOI10.1080/00036811.2011.628173zbMath1302.35427arXiv1103.2516OpenAlexW2078094630MaRDI QIDQ4916330

Andrea Ballerini

Publication date: 22 April 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2516

zbMATH Keywords

Cauchy probleminverse problemsstationary Navier-Stokes systemstability estimates

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Inverse problems for PDEs (35R30) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

The method of fundamental solutions for Brinkman flows. II: Interior domains ⋮ Identification of obstacles immersed in a stationary Oseen fluid via boundary measurements

Cites Work

• Unnamed Item
• Integral inequalities of Poincaré and Wirtinger type
• Optimal three-ball inequalities and quantitative uniqueness for the Stokes system
• Stable determination of an immersed body in a stationary Stokes fluid
• The linear constraints in Poincaré and Korn type inequalities
• The stability for the Cauchy problem for elliptic equations
• Strong unique continuation for stokes equations
• Examples of instability in inverse boundary-value problems
• Examples of exponential instability for inverse inclusion and scattering problems
• Stable determination of cavities in elastic bodies
• Prolongement Unique Des Solutions
• Identification of immersed obstacles via boundary measurements
• Optimal stability for the inverse problem of multiple cavities

This page was built for publication: Stable determination of a body immersed in a fluid: the nonlinear stationary case