Bridging Scales in Random Materials

Project Information

RandSCALES

Grant agreement ID: 948819

DOI

10.3030/948819

EC signature date 20 August 2020

Start date 1 March 2021

End date 28 February 2026

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 142 899,00

EU contribution

€ 1 142 899,00

Coordinated by

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
Austria

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)

Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow

Author(s): Julian Fischer, Alice Marveggio
Published in: arXiv, 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2203.17143

Boundary Layer Estimates in Stochastic Homogenization

Author(s): Peter Bella; Julian Fischer; Marc Josien; Claudia Raithel
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2403.12911

Stability of multiphase mean curvature flow beyond circular topology changes

Author(s): Julian Fischer; Sebastian Hensel; Alice Marveggio; Maximilian Moser
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2404.02884

A weak-strong uniqueness principle for the Mullins-Sekerka equation

Author(s): Julian Fischer; Sebastian Hensel; Tim Laux; Theresa Simon
Published in: 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2404.02682

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

The primitive equations with rough transport noise: Global well-posedness and regularity

Author(s): Antonio Agresti
Published in: arXiv, 2023
Publisher: arXiv

A monotonicity formula for minimizers of the Mumford-Shah functional in 2d and a sharp lower bound on the energy density

Author(s): Julian Fischer
Published in: arXiv, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2203.13177

Local minimizers of the interface length functional based on a concept of local paired calibrations

Author(s): Fischer, Julian; Hensel, Sebastian; Laux, Tim; Simon, Theresa M.
Published in: arXiv, 2022
Publisher: arXiv

Weighted Inertia-Dissipation-Energy approach to doubly nonlinear wave equations

Author(s): Goro Akagi; Verena Bögelein; Alice Marveggio; Ulisse Stefanelli
Published in: 2024
Publisher: arXiv
DOI: 10.48550/arxiv.2401.08856

Peer reviewed articles (17)

Global well-posedness and interior regularity of 2D Navier–Stokes equations with stochastic boundary conditions

Author(s): Antonio Agresti, Eliseo Luongo
Published in: Mathematische Annalen, Issue 390, 2024, Page(s) 2727-2766, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-024-02812-0

Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility

Author(s): Helmut Abels, Mingwen Fei, Maximilian Moser
Published in: Calculus of Variations and Partial Differential Equations, Issue 63, 2024, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-024-02715-7

A new varifold solution concept for mean curvature flow: Convergence of the Allen–Cahn equation and weak-strong uniqueness

Author(s): Sebastian Hensel, Tim Laux
Published in: Journal of Differential Geometry, Issue 130, 2025, ISSN 0022-040X
Publisher: International Press
DOI: 10.4310/jdg/1747065796

Weak-strong uniqueness for the Navier-Stokes equation for two fluids with the ninety degree contact angle and same viscosities

Author(s): Sebastian Hensel, Alice Marveggio
Published in: Journal of Mathematical Fluid Mechanics, Issue 14226928, 2022, ISSN 1422-6928
Publisher: Birkhauser Verlag
DOI: 10.1007/s00021-022-00722-2

Reaction-diffusion equations with transport noise and critical superlinear diffusion: Local well-posedness and positivity

Author(s): Antonio Agresti; Marc Veraar
Published in: Journal of Differential Equations, Issue 368, 2023, Page(s) 247–300, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2023.05.038

Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations

Author(s): Antonio Agresti
Published in: Stochastics and Partial Differential Equations: Analysis and Computations, Issue 12, 2024, Page(s) 1907-1981, ISSN 2194-0401
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s40072-023-00319-4

BV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness

Author(s): Sebastian Hensel; Tim Laux
Published in: Indiana University Mathematics Journal, 2022, Page(s) 25, ISSN 0022-2518
Publisher: Indiana University Press
DOI: 10.48550/arxiv.2112.11150

The critical variational setting for stochastic evolution equations

Author(s): Antonio Agresti, Mark Veraar
Published in: Probability Theory and Related Fields, Issue 188, 2024, Page(s) 957-1015, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-023-01249-x

Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Global Well-Posedness of Weakly Dissipative Systems

Author(s): Antonio Agresti, Mark Veraar
Published in: SIAM Journal on Mathematical Analysis, Issue 56, 2024, Page(s) 4870-4927, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1562482

Annealed quantitative estimates for the quadratic 2D-discrete random matching problem

Author(s): Nicolas Clozeau, Francesco Mattesini
Published in: Probability Theory and Related Fields, Issue 190, 2024, Page(s) 485-541, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-023-01254-0

Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier–Stokes/Allen–Cahn System

Author(s): Helmut Abels, Julian Fischer, Maximilian Moser
Published in: Archive for Rational Mechanics and Analysis, Issue 248, 2024, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-024-02020-9

Bias in the representative volume element method: periodize the ensemble instead of its realizations

Author(s): Nicolas Clozeau, Marc Josien, Felix Otto, Qiang Xu
Published in: Foundations of Computational Mathematics, 2023, ISSN 1615-3375
Publisher: Springer Verlag
DOI: 10.1007/s10208-023-09613-y

Weak-strong uniqueness for the mean curvature flow of double bubbles

Author(s): Hensel, Sebastian; Laux, Tim
Published in: Interfaces and Free Boundaries, Issue 14226928, 2022, Page(s) 59, ISSN 1422-6928
Publisher: Birkhauser Verlag
DOI: 10.48550/arxiv.2108.01733

Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field

Author(s): Nicolas Clozeau, Lihan Wang
Published in: Multiscale Modeling & Simulation, Issue 22, 2024, Page(s) 973-1029, ISSN 1540-3459
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/23m1603819

The stochastic primitive equations with non-isothermal turbulent pressure

Author(s): Antonio Agresti; Matthias Hieber; Amru Hussein; Martin Saal
Published in: Annals of Applied Probability, 2025, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics

Nonlocal‐to‐local convergence for a Cahn–Hilliard tumor growth model

Author(s): Christoph Hurm, Maximilian Moser
Published in: GAMM-Mitteilungen, Issue 48, 2025, ISSN 0936-7195
Publisher: Wiley - V C H Verlag GmbbH & Co.
DOI: 10.1002/gamm.70003

Convergence rates for the Allen–Cahn equation with boundary contact energy: the non-perturbative regime

Author(s): Sebastian Hensel; Maximilian Moser
Published in: Calculus of Variations and Partial Differential Equations, Issue 09442669, 2022, Page(s) 61, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-022-02307-3

Thesis and dissertations (1)

Weak-strong stability and phase-field approximation of interface evolution problems in fluid mechanics and in material sciences

Author(s): Marveggio, Alice
Published in: 2024
Publisher: ISTA
DOI: 10.15479/at:ista:14587