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math.AP2025
Multi-parameter identification in systems of PDEs from internal data
Élie Bretin, Eliott Kacedan, Laurent Seppecher
This article aims to present a general analysis of a class of inverse problems that consists in recovering the elliptic parameter maps in systems of PDEs, such as the linear elasti…
math.AP2023
Existence of global weak solutions of inhomogeneous incompressible Navier-Stokes equations with mass diffusion
Eliott Kacedan, Kohei Soga
This paper proves existence of a global weak solution to the inhomogeneous (i.e., non-constant density) incompressible Navier-Stokes system with mass diffusion. The system is well-…