29 citations · 68 across the 14 of their papers we have counts for
16 papers
Reconstruction of obstacles in a Stokes flow as a shape-from-moments problem
Alexandre Munnier
We address the classical inverse problem of recovering the position and shape of obstacles immersed in a planar Stokes flow using boundary measurements. We prove that this problem…
Invertibility criteria for the biharmonic single-layer potential
Alexandre Munnier
While the single-layer operator for the Laplacian is well understood, questions remain concerning the single-layer operator for the Bilaplacian, particularly with regard to inverti…
Square integrable surface potentials on non-smooth domains and application to the Laplace equation in
Alexandre Munnier
Motivated by applications in fluid dynamics involving the harmonic Bergman projection we aim at extending the theory of single and double layer potentials (well documented for func…
Asymptotic limit for the Stokes and Navier-Stokes problems in a planar domain with a vanishing hole
Alexandre Munnier
We show that the eigenvalues of the Stokes operator in a domain with a small hole converge to the eigenvalues of the Stokes operator in the whole domain, when the diameter of the h…
Dynamics of rigid bodies in a two dimensional incompressible perfect fluid
Olivier Glass, Christophe Lacave, Alexandre Munnier +1
We consider the motion of several rigid bodies immersed in a two-dimensional incompress-ible perfect fluid, the whole system being bounded by an external impermeable fixed boundary…
Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain
Julien Lequeurre, Alexandre Munnier
The main purpose of this work is to provide a Hilbertian functional framework for the analysis of the planar Navier-Stokes (NS) equations either in vorticity or in stream function…