Research Group

Pattern Formation, Energy Landscapes and Scaling Laws - Publications

Explore the scholarly works of the "Pattern Formation, Energy Landscapes and Scaling Laws" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.

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Publications of Felix Otto

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Preprint

2024 Repository Open Access

Lucas Broux, Felix Otto and Markus Tempelmayr

Preprint

2024 Repository Open Access

Tim Bastian Laux and Anton Ullrich

Median filter method for mean curvature flow using a random Jacobi algorithm

BibTex ArXiv: 2410.07776 Code: mathrepo.mis.mpg.de

inJournal

2024 Journal Open Access

Pablo Linares, Felix Otto, Markus Tempelmayr and Pavlos Tsatsoulis

A diagram-free approach to the stochastic estimates in regularity structures

In: Inventiones mathematicae, 237 (2024) 3, pp. 1469-1565

BibTex DOI: 10.1007/s00222-024-01275-z ArXiv: 2112.10739

inJournal

2024 Repository Open Access

Jianfeng Lu, Felix Otto and Lihan Wang

Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media

In: Communications in partial differential equations, 49 (2024) 7/8, pp. 609-670

BibTex DOI: 10.1080/03605302.2024.2374568 ArXiv: 2109.01616

Academic

2024

Francesco Mattesini

A variational approach to the optimal matching problem

Dissertation, Universität Münster, 2024

BibTex

Preprint

2024 Repository Open Access

Peter S. Morfe

BibTex ArXiv: 2310.14242

inJournal

2023 Journal Open Access

Yvain Bruned and Foivos Katsetsiadis

Post-Lie algebras in regularity structures

In: Forum of mathematics / Sigma, 11 (2023), e98

BibTex DOI: 10.1017/fms.2023.93 ArXiv: 2208.00514

inJournal

2023 Repository Open Access

Georgiana Chatzigeorgiou

Locality properties of standard homogenization commutator

In: Asymptotic analysis, 132 (2023) 3/4, pp. 409-426

BibTex DOI: 10.3233/ASY-221797 ArXiv: 2112.06788

Preprint

2023 Repository Open Access

Nicolas Clozeau and Lihan Wang

Artificial boundary conditions for random ellitpic systems with correlated coefficient field

BibTex ArXiv: 2309.06798

inJournal

2023 Repository Open Access

Ophélie Cuvillier, Francesco Fanelli and Elena Salguero

Well-posedness of the Kolmogorov two-equation model of turbulence in optimal Sobolev spaces

In: Journal of evolution equations, 23 (2023) 4, p. 68

BibTex DOI: 10.1007/s00028-023-00914-x ArXiv: 2306.16014

inJournal

2023 Repository Open Access

William M. Feldman and Peter S. Morfe

The occurrence of surface tension gradient discontinuities and zero mobility for Allen-Cahn and curvature flows in periodic media

In: Interfaces and free boundaries, 25 (2023) 4, pp. 567-631

BibTex DOI: 10.4171/IFB/491 ArXiv: 2108.00558

inJournal

2023 Journal Open Access

Max Goering and Lukas Koch

A note on improved differentiability for the Banach-space valued Finsler $y$ -Laplacian

In: Comptes rendus mathematique, 361 (2023), pp. 1091-1105

BibTex DOI: 10.5802/crmath.474 ArXiv: 2207.01544

Preprint

2023 Repository Open Access

Michael Goldman, Martin Huesmann and Felix Otto

In: Journal of elliptic and parabolic equations, 9 (2023) 1, pp. 125-154

BibTex DOI: 10.1007/s41808-022-00194-5 Link: hal.archives-ouvertes.fr

Preprint

2023 Repository Open Access

Lukas Koch and Felix Otto

BibTex ArXiv: 2202.01171

Preprint

2022 Repository Open Access

Georgiana Chatzigeorgiou, Peter S. Morfe, Felix Otto and Lihan Wang

BibTex ArXiv: 2210.15454

Preprint

2022 Repository Open Access

Lukas Koch and Jan Kristensen

BibTex ArXiv: 2110.08755

Preprint

2021 Repository Open Access

Paweł Duch

Dissertation, Duke University, 2021

BibTex Link: www.proquest.com

Preprint

2020 Repository Open Access

Aymeric Baradat and Christian Léonard

BibTex DOI: 10.5802/crmath.105 ArXiv: 2007.00484

Preprint

2020 Repository Open Access

Jan Kristensen and Bogdan Raiţă

BibTex ArXiv: 1807.09857

inJournal

2018 Repository Open Access

Matt Elsey and Selim Esedoglu

Threshold dynamics for anisotropic surface energies

In: Mathematics of computation, 87 (2018) 312, pp. 1721-1756

BibTex DOI: 10.1090/mcom/3268 Link: www.semanticscholar.org

inJournal

2018 Repository Open Access

Yoshikazu Giga, Jonas Sauer and Katharina Schade

Strong stability of 2D viscoelastic Poiseuille-type flows

In: Advances in mathematical sciences and applications, 27 (2018) 1, pp. 143-167

BibTex Link: hdl.handle.net

Preprint

2018 Repository Open Access

Michael Goldman, Martin Huesmann and Felix Otto

In: Dynamics of partial differential equations, 14 (2017) 1, pp. 5-32

BibTex DOI: 10.4310/DPDE.2017.v14.n1.a2 ArXiv: 1506.04706

Preprint

2017 Repository Open Access

Alberto Chiarini, Alessandra Cipriani and Giovanni Conforti

In: Archive for rational mechanics and analysis, 222 (2016) 1, pp. 427-450

BibTex DOI: 10.1007/s00205-016-1005-z ArXiv: 1504.00421

Preprint

2016

Rajat Bhatnagar and Robert Finn

In: Communications in partial differential equations, 41 (2016) 7, pp. 1108-1148

BibTex DOI: 10.1080/03605302.2016.1179318 ArXiv: 1503.07578

Preprint

2016

Julian Fischer

BibTex ArXiv: 1510.07604

Preprint

2015 Repository Open Access

Eris Runa

BibTex DOI: 10.4171/OWR/2012/60 Link: publications.mfo.de

Preprint

2012 Repository Open Access

Hartmut R. Schwetlick and Chun-Chi Lin

In: SIAM journal on mathematical analysis, 42 (2010) 6, pp. 2402-2433

BibTex DOI: 10.1137/09077549X MiS Preprint

Preprint

2010 Repository Open Access

Thomas Blesgen and Anja Schlömerkemper

In: Advances in differential equations, 11 (2006) 9, pp. 1031-1080

BibTex ArXiv: math/0503638 Link: projecteuclid.org

inJournal

2004

Thomas Blesgen

Existence and uniqueness for a model describing chalcopyrite disease within sphalerite

In: Communications in partial differential equations, 29 (2004) 3-4, pp. 523-546

BibTex DOI: 10.1081/PDE-120030407

Open Access Types

Journal Open Access
• Without article processing charges (diamond open access)
• With article processing charges (gold open access)
• In closed access journals with chargeable open access option (hybrid open access)

Repository Open Access
• Publications on a preprint server or on a free repository (green open access)

Pattern Formation, Energy Landscapes and Scaling Laws - Publications

A hidden convexity in continuum mechanics, with application to classical, continuous-time, rate-(in)dependent plasticity

Solution decomposition for the nonlinear Poisson-Boltzmann equation using the range-separated tensor format

Renormalization of singular elliptic stochastic PDEs using flow equation

On the global well-posedness of interface dynamics for gravity Stokes flow

Gradient-type estimates for the dynamic φ24-model

A priori bounds for quasi-linear SPDEs in the full sub-critical regime

Convergence to the planar interface for a nonlocal free-boundary evolution

Focusing Gibbs measures with harmonic potential

Approximations of dispersive PDEs in the presence of low-regularity randomness

Hairer's multilevel Schauder estimates without regularity structures

Lecture notes on Malliavin calculus in regularity structures

Convergence of space-discretised gKPZ via regularity structures

Diagram-free approach for convergence of trees based model in regularity structures

A free discontinuity approach to optimal profiles in Stokes flows

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

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

The quantitative hydrodynamic limit of the Kawasaki dynamics

On a novel gradient flow structure for the aggregation equation

Bounds on the aspect ratio of the momentum support of a 2D collisionless plasma

There is no stationary p-cyclically monotone Poisson matching in 2D

Stochastic homogenization and geometric singularities : a study on corners

Scale invariant bounds for mixing in the Rayleigh-Taylor instability

Geometric linearisation for optimal transport with strongly p-convex cost

Quantified legendreness and the regularity of minima

Time-dependent averages of a critical long-range stochastic heat equation

Median filter method for mean curvature flow using a random Jacobi algorithm

A diagram-free approach to the stochastic estimates in regularity structures

Optimal artificial boundary conditions based on second-order correctors for three dimensional random elliptic media

A variational approach to the optimal matching problem

Comparison principles for the Finsler infinity Laplacian with applications to minimal Lipschitz extensions

Distributional celestial amplitudes

Invariant Gibbs dynamics for the two-dimensional Zakharov-Yukawa system

Generic level sets in mean curvature flow are BV solutions

Monge-Ampère gravitation as a Γ-limit of good rate functions

An example of singular elliptic stochastic PDE

Composition and substitution of regularity structures B-series

Post-Lie algebras in regularity structures

Locality properties of standard homogenization commutator

Artificial boundary conditions for random ellitpic systems with correlated coefficient field

Well-posedness of the Kolmogorov two-equation model of turbulence in optimal Sobolev spaces

The occurrence of surface tension gradient discontinuities and zero mobility for Allen-Cahn and curvature flows in periodic media

A note on improved differentiability for the Banach-space valued Finsler 𝓎y-Laplacian

Almost sharp rates of convergence for the average cost and displacement in the optimal matching problem

Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs

Endpoint L1 estimates for Hodge systems

There is no stationary cyclically monotone Poisson matching in 2d

Wasserstein asymptotics for the empirical measure of fractional Brownian motion on a flat torus

Boundary regularity results for minimisers of convex functionals with (p,q)-growth

Stochastic homogenization : a short proof of the annealed Calderón-Zygmund estimate

Lecture notes on the harmonic approximation to quadratic optimal transport

Birth-death dynamics for sampling : global convergence, approximations and their asymptotics

Comparison principles for second-order elliptic/parabolic equations with discontinuities in the gradient compatible with Finsler norms

Transverse domain walls in thin ferromagnetic strips

Quantitative heat-kernel estimates for diffusions with distributional drift

A trace inequality for solenoidal charges

Low regularity integrators via decorated trees

The Gaussian free-field as a stream function : asymptotics of effective diffusivity in infra-red cut-off

Symmetry properties of minimizers of a perturbed Dirichlet energy with a boundary penalization

Quasiconvexity, null Lagrangians, and Hardy space integrability under constant rank constraints

A note on a rigidity estimate for degree ±1 conformal maps on S2

The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization

Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth

On global absence of Lavrentiev gap for functionals with (p,q)-growth

On the validity of the Euler-Lagrange system without growth assumptions

Regularity for quasilinear vectorial elliptic systems via an iterative scheme with numerical applications

Longtime asymptotics of the two-dimensional parabolic Anderson model with white-noise potential

Oscillation and concentration in sequences of PDE constrained measures

Effective properties of random media : expansions in dilute regimes

BPX-Type preconditioners and convergence estimates for strictly quasiconvex functionals

Γ-convergence for a class of action functionals induced by gradients of convex functions

Quantitative estimates in stochastic homogenization of elliptic equations and systems

Echo chains as a linear mechanism : norm inflation, modified exponents and asymptotics

Additive functionals as rough paths

On symmetry of energy minimizing harmonic-type maps on cylindrical surfaces

Flow equation approach to singular stochastic PDEs

Infrared problem in perturbative quantum field theory

On limiting trace inequalities for vectorial differential operators

Quantitative linearization results for the Monge-Ampère equation

Optimal artificial boundary condition for random elliptic media

Gradient-type estimates for the dynamic $φ_{2}^{4}$ -model

There is no stationary $p$ -cyclically monotone Poisson matching in 2D

Monge-Ampère gravitation as a $Γ$ -limit of good rate functions

A note on improved differentiability for the Banach-space valued Finsler $y$ -Laplacian

Endpoint $L^{1}$ estimates for Hodge systems

Boundary regularity results for minimisers of convex functionals with $(p, q)$ -growth

A note on a rigidity estimate for degree $\pm 1$ conformal maps on $S^{2}$

$Γ$ -convergence for a class of action functionals induced by gradients of convex functions

Sharp boundary $ε$ -regularity of optimal transport maps

On the necessity of the constant rank condition for $L^{p}$ estimates

Continuity and canceling operators of order $n$ on $R^{n}$

Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with $L^{p}$ data

Optimal $L^{1}$ -relaxation rates for the Cahn-Hilliard equation on the line [In: Surface, bulk, and geometric partial differential equations : interfacial, stochastic, non-local and discrete structures ; 20 January - 26 January 2019 ; report no. 3/2019]

Optimal $L^{1}$ -type relaxation rates for the Cahn-Hilliard equation on the line

A note on estimates for elliptic systems with $L^{1}$ data