## Table of contents

Homological algebra/Mathematical physics

The obstruction to the existence of a loopless star product
Complex analysis/Partial differential equations

On the higher dimensional harmonic analog of the Levinson $\mathrm{log}\mathrm{log}$ theorem
Partial differential equations

Exponential self-similar mixing and loss of regularity for continuity equations
Partial differential equations/Optimal control

Source identification for the wave equation on graphs
Partial differential equations

Some remarks on the paper “On the blow up criterion of 3D Navier–Stokes equations” by J. Benameur
Partial differential equations/Numerical analysis

Localization of extended current source with finite frequencies
Analyse numérique

Correction non linéaire d'ordre 2 et principe du maximum pour la discrétisation d'opérateurs de diffusion
[A nonlinear second order in space correction and maximum principle for diffusion operators]