Laboratoire de Mathématiques Blaise Pascal

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19932026

most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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math.AP2026

Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model

Cosmin Burtea, Timothée Crin-Barat, Pierre Gonin--Joubert

The dynamics of two-phase flows out of mechanical and thermal equilibrium are described by a partially dissipative first-order quasilinear system with stiff interaction terms assoc…

math.AP2025

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 $Φ$ $γ$ $\subset$ L 2…

math.AP2025

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, $d X_{t} = b (t, X_{t}) d t + d Z_{t}$ , where $Z$ is a symmetric isotropic d dimensional stable process of index $α\in (1,2…

math.AP2025

Existence of multi-solitons with any parameters for the 5D energy critical wave equation

Yvan Martel, Frank Merle

For the focusing, energy critical wave equation in dimension 5, we construct multi-solitons with any number of solitons, any choice of signs, speeds, scaling parameters and transla…

math.AP2025

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 $R^{3}$ . The phases of the flow may h…

math.AP2025

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…