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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Showing 2020 · math.APShow all

21 papers · 2 filters

math.AP2020★ 3 cited

Heat kernel of supercritical SDEs with unbounded drifts

Stéphane Menozzi, Zhang Xicheng

Let $α \in (0, 2)$ and $d \in N$ . Consider the following SDE in $R^{d}$ : $d X_{t} = b (t, X_{t}) d t + a (t, X_{t -}) d L_{t}^{(α)}, X_{0} = x,$ where $L^{(α)}$ is a $d…

math.AP2020

Mild criticality breaking for the Navier-Stokes equations

Tobias Barker, Christophe Prange

In this short paper we prove the global regularity of solutions to the Navier-Stokes equations under the assumption that slightly supercritical quantities are bounded. As a consequ…

math.AP2020★ 2 cited

Constructive exact control of semilinear 1D wave equations by a least-squares approach

Arnaud Münch, Emmanuel Trélat

It has been proved by Zuazua in the nineties that the internally controlled semilinear 1D wave equation $\partial_{tt} y - \partial_{xx} y + g (y) = f 1_{ω}$ , with Dirichlet boundary condit…

math.AP2020

Continuity problem for singular BSDE with random terminal time

Alexandre Popier, Sharoy Samuel, Ali Sezer

We study a class of nonlinear BSDEs with a superlinear driver process f adapted to a filtration F and over a random time interval [[0, S]] where S is a stopping time of F. The term…

math.AP2020

Regularity theory for the dissipative solutions of the MHD equations

Diego Chamorro, Jiao He

We study here a new generalization of Caffarelli, Kohn and Nirenberg's partial regularity theory for weak solutions of the MHD equations. Indeed, in this framework some hypotheses…

math.AP2020

Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit

Elisabetta Brocchieri, Lucilla Corrias, Helge Dietert +1

We rigorously prove the passage from a Lotka-Volterra reaction-diffusion system towards a cross-diffusion system at the fast reaction limit. The system models a competition of two…