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- Laboratoire de Mathématiques Blaise PascalFR98 papers
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44 papers · 1 filter
Calder{ó}n splitting and weak solutions for Navier-Stokes equations with initial data in weighted L p spaces
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 , using Calder{ó}n splitting L p L 2…
Weak Error on the densities for the Euler scheme of stable additive SDEs with Besov drift
Mathis Fitoussi, Elena Issoglio, Stéphane Menozzi
We are interested in the Euler-Maruyama dicretization of the formal SDE, , where is a symmetric isotropic d dimensional stable process of index $α\in (1,2…
Global-in-time Discontinuous Solutions for the Two-Phase Model of Compressible Fluids with Density-Dependent Viscosity
Marcel Zodji
We are concerned with a model describing the motion of two compressible, immiscible fluids with density-dependent viscosity in the whole . The phases of the flow may h…
Global mild solutions in a critical setting for a forced fractional Boussinesq system
Diego Chamorro, Maxence Mansais
We study here mild solutions for the forced, incompressible fractional Boussinesq system. Under suitable estimates for the terms involved (in an adapted functional framework) we ca…
Global weak solutions for a variation of the Whitham equation
Diego Chamorro, María Eugenia Martínez
We study in this article a variation of the Whitham equation which was introduced as an alternative to the KdV equation. We first prove the global existence of weak solutions, then…
The role of the dimension in uniqueness results for the stationary quasi-geostrophic system
Diego Chamorro, Manuel Fernando Cortez
In this paper, we study a Liouville-type theorem for the stationary fractional quasi-geostrophic equation in various dimensions. Indeed, our analysis focuses on dimensions n = 2, 3…