Bridging Scales in Random Materials
Project Period: 2021-03-01 – 2026-02-28
Funder:
EC/H2020
Acronym
RandSCALES
Principal Investigator
Department(s)
Grant Number
948819
Funder
EC/H2020
18 Publications
2024 | Published | Journal Article | IST-REx-ID: 17372 |
Reaction-diffusion equations with transport noise and critical superlinear diffusion: Global well-posedness of weakly dissipative systems
A. Agresti, M. Veraar, SIAM Journal on Mathematical Analysis 56 (2024) 4870–4927.
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A. Agresti, M. Veraar, SIAM Journal on Mathematical Analysis 56 (2024) 4870–4927.
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 17462 |
Artificial boundary conditions for random elliptic systems with correlated coefficient field
N. Clozeau, L. Wang, Multiscale Modeling and Simulation 22 (2024) 973–1029.
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N. Clozeau, L. Wang, Multiscale Modeling and Simulation 22 (2024) 973–1029.
2024 | Published | Journal Article | IST-REx-ID: 17481 |
Quantitative convergence of the vectorial Allen–Cahn equation towards multiphase mean curvature flow
J.L. Fischer, A. Marveggio, Annales de l’Institut Henri Poincare C 41 (2024) 1117–1178.
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J.L. Fischer, A. Marveggio, Annales de l’Institut Henri Poincare C 41 (2024) 1117–1178.
2024 | Published | Journal Article | IST-REx-ID: 17887 |
Approximation of classical two-phase flows of viscous incompressible fluids by a Navier–Stokes/Allen–Cahn system
H. Abels, J.L. Fischer, M. Moser, Archive for Rational Mechanics and Analysis 248 (2024).
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H. Abels, J.L. Fischer, M. Moser, Archive for Rational Mechanics and Analysis 248 (2024).
2024 | Published | Journal Article | IST-REx-ID: 12485 |
The critical variational setting for stochastic evolution equations
A. Agresti, M. Veraar, Probability Theory and Related Fields 188 (2024) 957–1015.
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A. Agresti, M. Veraar, Probability Theory and Related Fields 188 (2024) 957–1015.
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 14797 |
Annealed quantitative estimates for the quadratic 2D-discrete random matching problem
N. Clozeau, F. Mattesini, Probability Theory and Related Fields (2024).
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N. Clozeau, F. Mattesini, Probability Theory and Related Fields (2024).
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 15098 |
Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions
A. Agresti, E. Luongo, Mathematische Annalen (2024).
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A. Agresti, E. Luongo, Mathematische Annalen (2024).
2024 | Published | Journal Article | IST-REx-ID: 15334 |
Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility
H. Abels, M. Fei, M. Moser, Calculus of Variations and Partial Differential Equations 63 (2024).
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H. Abels, M. Fei, M. Moser, Calculus of Variations and Partial Differential Equations 63 (2024).
2023 | Published | Journal Article | IST-REx-ID: 13135 |
Reaction-diffusion equations with transport noise and critical superlinear diffusion: Local well-posedness and positivity
A. Agresti, M. Veraar, Journal of Differential Equations 368 (2023) 247–300.
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A. Agresti, M. Veraar, Journal of Differential Equations 368 (2023) 247–300.
2023 | Published | Thesis | IST-REx-ID: 14587 |
Weak-strong stability and phase-field approximation of interface evolution problems in fluid mechanics and in material sciences
A. Marveggio, Weak-Strong Stability and Phase-Field Approximation of Interface Evolution Problems in Fluid Mechanics and in Material Sciences, Institute of Science and Technology Austria, 2023.
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A. Marveggio, Weak-Strong Stability and Phase-Field Approximation of Interface Evolution Problems in Fluid Mechanics and in Material Sciences, Institute of Science and Technology Austria, 2023.
2023 | Epub ahead of print | Journal Article | IST-REx-ID: 12486 |
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations
A. Agresti, Stochastics and Partial Differential Equations: Analysis and Computations (2023).
[Submitted Version]
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A. Agresti, Stochastics and Partial Differential Equations: Analysis and Computations (2023).
2023 | Published | Journal Article | IST-REx-ID: 13043 |
Weak-strong uniqueness for the mean curvature flow of double bubbles
S. Hensel, T. Laux, Interfaces and Free Boundaries 25 (2023) 37–107.
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S. Hensel, T. Laux, Interfaces and Free Boundaries 25 (2023) 37–107.
2022 | Submitted | Preprint | IST-REx-ID: 14597 |
Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow
J.L. Fischer, A. Marveggio, ArXiv (n.d.).
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J.L. Fischer, A. Marveggio, ArXiv (n.d.).
2022 | Published | Journal Article | IST-REx-ID: 11842 |
Weak-strong uniqueness for the Navier–Stokes equation for two fluids with ninety degree contact angle and same viscosities
S. Hensel, A. Marveggio, Journal of Mathematical Fluid Mechanics 24 (2022).
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S. Hensel, A. Marveggio, Journal of Mathematical Fluid Mechanics 24 (2022).
2022 | Published | Journal Article | IST-REx-ID: 12079 |
Convergence rates for the Allen–Cahn equation with boundary contact energy: The non-perturbative regime
S. Hensel, M. Moser, Calculus of Variations and Partial Differential Equations 61 (2022).
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S. Hensel, M. Moser, Calculus of Variations and Partial Differential Equations 61 (2022).
2021 | Published | Thesis | IST-REx-ID: 10007 |
Curvature driven interface evolution: Uniqueness properties of weak solution concepts
S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts, Institute of Science and Technology Austria, 2021.
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S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts, Institute of Science and Technology Austria, 2021.
2021 | Submitted | Preprint | IST-REx-ID: 10011 |
A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness
S. Hensel, T. Laux, ArXiv (n.d.).
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S. Hensel, T. Laux, ArXiv (n.d.).
2021 | Submitted | Preprint | IST-REx-ID: 10013 |
Weak-strong uniqueness for the mean curvature flow of double bubbles
S. Hensel, T. Laux, ArXiv (n.d.).
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S. Hensel, T. Laux, ArXiv (n.d.).