Identification results for inverse source problems in unsteady Stokes flows

  title={Identification results for inverse source problems in unsteady Stokes flows},
  author={Nuno F. M. Martins},
  journal={Inverse Problems},
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. 

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

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

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

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

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

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

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.

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.



Inverse source problem for linearized Navier–Stokes equations with data in arbitrary sub-domain

We consider an inverse problem of determining a spatially varying factor in a source term in the non-stationary linearized Navier–Stokes equations by observation data in an arbitrarily fixed

Factorization method for the inverse Stokes problem

We propose an imaging technique for the detection of porous inclusions in a stationary flow based on the Factorization method. The stationary flow is described by the Stokes-Brinkmann equations, a

Integral equations for an inverse boundary value problem for the two-dimensional Stokes equations

Abstract The problem to determine the location and shape of a perfect conductor within a conducting homogeneous host medium from measured current and voltages on the accessible exterior boundary of

Identification of immersed obstacles via boundary measurements

We study the following inverse problem: an inaccessible rigid body D is immersed in a viscous fluid, in such a way that D plays the role of an obstacle around which the fluid is flowing in a greater

Some remarks on the problem of source identification from boundary measurements

We consider the problem of determining a source term from boundary measurements, in an elliptic problem. In general, this source is unattainable except for its harmonic component. We then turn

On the multi-frequency inverse source problem in heterogeneous media

The inverse source problem where an unknown source is to be identified from knowledge of its radiated wave is studied. The focus is placed on the effect that multi-frequency data have on establishing