Anatole Gaudin

activity

20242026

collaborators

4 papers

math.AP2026

The Boussinesq system in 3-dimensional bounded rough domains: Well-posedness in critical spaces and long-time behavior

Anatole Gaudin

We study the three-dimensional Boussinesq system in bounded rough domains, including bounded Lipschitz and $C^{1, I^\pm}$ domains, within a critical functional framework. We e…

math.AP2025

Optimal regularity results for the Stokes--Dirichlet problem

Dominic Breit, Anatole Gaudin

We develop a sharp maximal regularity theory for the resolvent and evolution Stokes equations with no-slip boundary conditions, focusing on bounded domains of low regularity. Our f…

math.AP2024

Homogeneous Sobolev and Besov spaces on special Lipschitz domains and their traces

Anatole Gaudin

We aim to contribute to the folklore of function spaces on Lipschitz domains. We prove the boundedness of the trace operator for homogeneous Sobolev and Besov spaces on a special L…

math.AP2024

On homogeneous Sobolev and Besov spaces on the whole and the half space

Anatole Gaudin

In this paper, we propose an elementary construction of homogeneous Sobolev spaces of fractional order on $R^{n}$ and $R_{+}^{n}$ . This construction completes the const…