Identification of deformable droplets from boundary measurements: the case of non-stationary Stokes problem
From MaRDI portal
Publication:5861355
DOI10.1080/17415977.2021.2009475OpenAlexW4200215712MaRDI QIDQ5861355
Abdessatar Khelifi, Brice Naisseline, Christian Daveau, Stefan Bornhofen
Publication date: 4 March 2022
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2021.2009475
Inverse problems for PDEs (35R30) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Flow control and optimization for incompressible viscous fluids (76D55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic behaviors for eigenvalues and eigenfunctions associated to Stokes operator in the presence of small boundary perturbations
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem
- Detecting perfectly insulated obstacles by shape optimization techniques of order two
- Carleman estimate for the Navier–Stokes equations and an application to a lateral Cauchy problem
- Numerical solution of an inverse initial boundary-value problem for the full time-dependent Maxwell's equations in the presence of imperfections of small volume
- Inverse source problem for linearized Navier–Stokes equations with data in arbitrary sub-domain
- DETECTING AN OBSTACLE IMMERSED IN A FLUID BY SHAPE OPTIMIZATION METHODS
- Localization of small obstacles in Stokes flow
- The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media
- Topological Sensitivity Analysis for the Location of Small Cavities in Stokes Flow
- A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements
- Reconstruction of inclusion from boundary measurements
- A real time algorithm for the location search of discontinuous conductivities with one measurement
- Effective viscosity properties of dilute suspensions of arbitrarily shaped particles
- Asymptotic of the velocity of a dilute suspension of droplets with interfacial tension
- A Globally Convergent Numerical Method for a Coefficient Inverse Problem
- Reconstruction of a Small Inclusion in a Two-Dimensional Open Waveguide
- Direct Algorithms for Thermal Imaging of Small Inclusions
- Asymptotic formula for the solution of the Stokes problem with a small perturbation of the domain in two and three dimensions
- Identification of immersed obstacles via boundary measurements
- The linear sampling method and the MUSIC algorithm