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19992026
most citedAdaptive approximate Bayesian computation

625 citations

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63 papers · 1 filter

math.AP2024

Optimizing quasi-dissipative evolution equations with the moment-SOS hierarchy

Saroj Prasad Chhatoi, Didier Henrion, Swann Marx +1

We prove that there is no relaxation gap between a quasi-dissipative nonlinear evolution equation in a Hilbert space and its linear Liouville equation reformulation on probability…

math.AP2024

Gehring's Lemma for kinetic Fokker-Planck equations

Jessica Guerand, Cyril Imbert, Clément Mouhot

In this article, we establish a "Gehring lemma" for a real function satisfying a reverse Hölder inequality on all "kinetic cylinders" contained in a large one: it asserts that the…

math.AP2024

Long-time behavior of an anisotropic rigid body interacting with a Poiseuille flow in an unbounded 2D channel

Denis Bonheure, Matthieu Hillairet, Clara Patriarca +1

We study the long-time behavior of an elliptic rigid body which is allowed to vertically translate and rotate in a 2D unbounded channel under the action of a Poiseuille flow at lar…

math.AP2023

Derivation of a two-phase flow model accounting for surface tension

Hélène Mathis

This paper addresses the derivation of a two-phase flow model accounting for surface tension effects, by means of the Stationary Action Principle (SAP). The Lagrangian functional,…

math.AP2023★ 2 cited

A moment-based approach for the analysis of the infinitesimal model in the regime of small variance

J Guerand, M Hillairet, S Mirrahimi

We provide an asymptotic analysis of a nonlinear integro-differential equation describing the evolutionary dynamics of a population which reproduces sexually and which is subject t…

math.AP2023★ 3 cited

Hindered Settling of Well-Separated Particle Suspensions

Matthieu Hillairet, Richard M. Höfer

We consider identical inertialess rigid spherical particles in a Stokes flow in a domain . We study the average sedimentation velocity of the particles wh…