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- Laboratoire de Mathématiques Blaise PascalFR98 papers
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4 papers · 2 filters
Existence of infinite-energy and discretely self-similar global weak solutions for 3D MHD equations
Pedro Gabriel Fernández-Dalgo, Oscar Jarrín
This paper deals with the existence of global weak solutions for 3D MHD equations when the initial data belong to the weighted spaces , with and $…
Lyapunov functions, Identities and the Cauchy problem for the Hele-Shaw equation
Thomas Alazard, Nicolas Meunier, Didier Smets
This article is devoted to the study of the Hele-Shaw equation. We introduce an approach inspired by the water-wave theory. Starting from a reduction to the boundary, introducing t…
Weak solutions for Navier--Stokes equations with initial data in weighted spaces
Pedro Gabriel Fernández-Dalgo, Pierre Gilles Lemarié-Rieusset
We show the existence of global weak solutions of the 3D Navier-Stokes equations with initial velocity in the weighted spaces L 2 w , where w (x) = (1 + |x|) -- and 0 < $…
Interpolation, extrapolation, Morrey spaces and local energy control for the Navier--Stokes equations
Pierre Gilles Lemarié-Rieusset
Barker recently proved new weak-strong uniqueness results for the Navier-Stokes equations based on a criterion involving Besov spaces and a proof through interpolation between Beso…