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Size estimates of an obstacle in a stationary Stokes fluid
- Publication Year :
- 2016
-
Abstract
- In this work we are interested in estimating the size of a cavity D immersed in a bounded domain \Omega, contained in R^d, d=2,3, filled with a viscous fluid governed by the Stokes system, by means of velocity and Cauchy forces on the external boundary of \Omega. More precisely, we establish some lower and upper bounds in terms of the difference between the external measurements when the obstacle is present and without the object. The proof of the result is based on interior regularity results and quantitative estimates of unique continuation for the solution of the Stokes system.
- Subjects :
- Mathematics - Analysis of PDEs
35R30, 65M32, 76D07, 76D03
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1601.02573
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1361-6420/33/2/025008