Corrector equations and random operators

Project Information

COR-RAND

Grant agreement ID: 864066

DOI

10.3030/864066

EC signature date 3 March 2020

Start date 1 September 2020

End date 31 August 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 540 000,00

EU contribution

€ 1 540 000,00

Coordinated by

SORBONNE UNIVERSITE
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Other (9)

A spectral ansatz for the long-time homogenization of the wave equation

Author(s): Duerinckx, Mitia; Gloria, Antoine; Ruf, Matthias
Published in: arxiv, Issue 2303.07684, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2303.07684

On Einstein's effective viscosity formula

Author(s): Duerinckx, Mitia; Gloria, Antoine
Published in: arxiv, Issue 2008.03837, 2020
Publisher: arxiv
DOI: 10.48550/arxiv.2008.03837

Homogenization of active suspensions and reduction of effective viscosity

Author(s): Bernou, Armand; Duerinckx, Mitia; Gloria, Antoine
Published in: Arxiv, Issue 2301.00166, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2301.00166

Quantitative homogenization for log-normal coefficients via Malliavin calculus: the one-dimensional case

Author(s): Antoine Gloria, Siguang Qi
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2402.19182

Homogenization of the 2D Euler system: lakes and porous media

Author(s): Mitia Duerinckx, Antoine Gloria
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2409.01474

Quantitative homogenization for log-normal coefficients

Author(s): Nicolas Clozeau, Antoine Gloria, Siguang Qi
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2403.00168

On the lower spectrum of heterogeneous acoustic operators: homogenization meets localization

Author(s): Mitia Duerinckx, Antoine Gloria
Published in: 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2304.14046

Homogenization of the stochastic double-porosity model

Author(s): Elise Bonhomme, Mitia Duerinckx, Antoine Gloria
Published in: 2025
Publisher: arXiv
DOI: 10.48550/arxiv.2502.02847

The landscape function on $\mathbb{R}^d$

Author(s): Guy David, Antoine Gloria, Svitlana Mayboroda
Published in: 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2307.11182

Peer reviewed articles (11)

Quantitative homogenization theory for random suspensions in steady Stokes flow

Author(s): Duerinckx, Mitia; Gloria, Antoine
Published in: Journal de l'Ecole polytechnique, Issue 9, 2022, Page(s) 1183–1244, ISSN 2429-7100
Publisher: Université Paris - Saclay, École Polytechnique
DOI: 10.5802/jep.204

Sedimentation of random suspensions and the effect of hyperuniformity

Author(s): Duerinckx, Mitia; Gloria, Antoine
Published in: Annals of PDE, Issue 6, 2022, ISSN 2199-2576
Publisher: Springer Nature
DOI: 10.1007/s40818-021-00115-0

Corrector Equations in Fluid Mechanics: Effective Viscosity of Colloidal Suspensions

Author(s): Duerinckx, Mitia; Gloria, Antoine
Published in: Archive for rational mechanics and analysis, Issue 239, 2021, Page(s) 1025–1060, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-020-01589-1

A Scalar Version of the Caflisch-Luke Paradox

Author(s): Gloria, Antoine
Published in: Communications on pure and applied mathematiques, Issue 75(7), 2021, Page(s) 1403-1452, ISSN 0010-3640
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/cpa.21970

Convergence Towards the Steady State of a Collisionless Gas With Cercignani-Lampis Boundary Condition

Author(s): Bernou, Armand
Published in: Communications in Partial Differential Equations, Issue 47(4), 2022, Page(s) 724-773, ISSN 1532-4133
Publisher: Taylor & Francis
DOI: 10.1080/03605302.2021.1999975

Enhancement of elasto-dielectrics by homogenization of active charges

Author(s): Francfort, Gilles A.; Gloria, Antoine; Lopez-Pamies, Oscar
Published in: Journal de Mathématiques Pures et Appliquées, Issue 7, 2021, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2021.10.002

Approximate Normal Forms via Floquet–Bloch Theory: Nehorošev Stability for Linear Waves in Quasiperiodic Media

Author(s): Mitia Duerinckx; Mitia Duerinckx; Antoine Gloria; Antoine Gloria; Christopher Shirley
Published in: Communications in Mathematical Physics, Issue 8, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-03966-7

Continuum percolation in stochastic homogenization and the effective viscosity problem

Author(s): Duerinckx, Mitia; Gloria, Antoine
Published in: Archive for rational mechanics and analysis, Issue 247(2), 2023, Page(s) 26, ISSN 1432-0673
Publisher: Springer
DOI: 10.1007/s00205-023-01857-w

The Clausius-Mossotti formula

Author(s): Duerinckx, Mitia ; Gloria, Antoine
Published in: Asymptotic Analysis, 2023, ISSN 1875-8576
Publisher: IOP Press
DOI: 10.3233/asy-231840

A short proof of Gevrey regularity for homogenized coefficients of the Poisson point process

Author(s): Duerinckx, Mitia; Gloria, Antoine
Published in: Comptes Rendus. Mathématique, Issue 360, 2022, Page(s) 909-918, ISSN 1778-3569
Publisher: Académie des Sciences
DOI: 10.5802/crmath.354

Quantitative nonlinear homogenization: control of oscillations

Author(s): Clozeau, Nicolas; Gloria, Antoine
Published in: Archive for Rational Mechanics and Analysis, Issue 247, 2023, Page(s) 67, ISSN 1432-0673
Publisher: Springer-Verlag
DOI: 10.1007/s00205-023-01895-4

Conference proceedings (1)

Effective viscosity of semi-dilute suspensions

Author(s): Duerinckx, Mitia ; Gloria, Antoine
Published in: Séminaire Laurent Schwartz — EDP et applications, 2022, ISSN 2266-0607
Publisher: Les Editions de l'Ecole polytechnique
DOI: 10.48550/arxiv.2301.00165

Thesis and dissertations (2)

Effective properties of random media : expansions in dilute regimes

Author(s): Pertinand, Jules
Published in: 2022
Publisher: HAL

Quantitative estimates in stochastic homogenization of elliptic equations and systems

Author(s): Clozeau, Nicolas
Published in: 2021
Publisher: HAL