# Identification results for inverse source problems in unsteady Stokes flows

@article{Martins2015IdentificationRF, title={Identification results for inverse source problems in unsteady Stokes flows}, author={Nuno F. M. Martins}, journal={Inverse Problems}, year={2015}, volume={31} }

We establish identification results in an inverse source problem for the two-dimensional Brinkman equations. This identification problem is cast in the context of a nondestructive evaluation problem that consists in retrieving a pair of forces, namely a body force and a divergence force, from the corresponding Cauchy data. Results are established for data obtained from a single measurement and from several measurements. Extension to three-dimensional problems is also discussed.

## 7 Citations

### Identification and Reconstruction of Body Forces in a Stokes System Using Shear Waves

- Mathematics
- 2020

In this paper we consider an inverse source problem for the Brinkman system of equations (or unsteady Stokes equations). The uniqueness problem of recovering the source term from traction boundary…

### A distributed resistance inverse method for flow obstacle identification from internal velocity measurements

- Mathematics
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We present a penalization parameter method for obstacle identification in an incompressible fluid flow for a modified version of the Oseen equations. The proposed method consists in adding a high…

### A non-iterative reconstruction method for an inverse problem modeled by a Stokes-Brinkmann equations

- Mathematics
- 2019

This article is concerned with the reconstruction of obstacle $\O$ immersed in a fluid flowing in a bounded domain $\Omega$ in the two dimensional case. We assume that the fluid motion is governed by…

### A source reconstruction algorithm for the Stokes system from incomplete velocity measurements

- Mathematics
- 2017

We consider the inverse problem of determining the spatial dependence of a source of the form f(x)σ(t) in the Stokes system defined in Ω×(0,T), assuming that σ(t) is known and f(x) is…

### A coupled complex boundary expanding compacts method for inverse source problems

- MathematicsJournal of Inverse and Ill-posed Problems
- 2018

Abstract In this paper, we consider an inverse source problem for elliptic partial differential equations with both Dirichlet and Neumann boundary conditions. The unknown source term is to be…

### A dynamical regularization algorithm for solving inverse source problems of elliptic partial differential equations

- Mathematics
- 2018

This study considers the inverse source problem for elliptic partial differential equations with both Dirichlet and Neumann boundary data. The unknown source term is to be determined by additional…

### Wake control with permeable multilayer structures: The spherical symmetry case.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

The main practical finding for Stokes flow is that it is possible to reduce a certain measure of wake of a spherical object without any energy penalty and without active (power-consuming) force generation.

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