Convergence of the thresholding scheme for multi-phase mean-curvature flow T Laux, F Otto Calculus of Variations and Partial Differential Equations 55 (5), 129, 2016 | 87 | 2016 |
Convergence of the Allen‐Cahn Equation to Multiphase Mean Curvature Flow T Laux, TM Simon Communications on Pure and Applied Mathematics 71 (8), 1597-1647, 2018 | 54 | 2018 |
Convergence of thresholding schemes incorporating bulk effects T Laux, D Swartz Interfaces and Free Boundaries 19 (2), 273-304, 2017 | 34 | 2017 |
Convergence Rates of the Allen--Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies J Fischer, T Laux, TM Simon SIAM Journal on Mathematical Analysis 52 (6), 6222-6233, 2020 | 31 | 2020 |
The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions J Fischer, S Hensel, T Laux, T Simon arXiv preprint arXiv:2003.05478, 2020 | 30 | 2020 |
Brakke’s inequality for the thresholding scheme T Laux, F Otto Calculus of Variations and Partial Differential Equations 59, 1-26, 2020 | 21 | 2020 |
A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness S Hensel, T Laux arXiv preprint arXiv:2109.04233, 2021 | 20 | 2021 |
The elastic flow of curves on the sphere A Dall’Acqua, T Laux, Lin, P Pozzi, A Spener Geometric flows 3 (1), 1-13, 2018 | 18 | 2018 |
Nematic–isotropic phase transition in liquid crystals: A variational derivation of effective geometric motions T Laux, Y Liu Archive for Rational Mechanics and Analysis 241 (3), 1785-1814, 2021 | 13 | 2021 |
Implicit time discretization for the mean curvature flow of mean convex sets G De Philippis, T Laux arXiv preprint arXiv:1806.02716, 2018 | 12 | 2018 |
Weak-strong uniqueness for the mean curvature flow of double bubbles S Hensel, T Laux Interfaces and Free Boundaries 25 (1), 37-107, 2022 | 11 | 2022 |
Mullins-Sekerka as the Wasserstein flow of the perimeter A Chambolle, T Laux Proceedings of the American Mathematical Society 149 (7), 2943-2956, 2021 | 11 | 2021 |
Analysis of diffusion generated motion for mean curvature flow in codimension two: a gradient-flow approach T Laux, NK Yip Archive for Rational Mechanics and Analysis 232, 1113-1163, 2019 | 11 | 2019 |
BV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness S Hensel, T Laux arXiv preprint arXiv:2112.11150, 2021 | 10 | 2021 |
Weak-strong uniqueness for volume-preserving mean curvature flow T Laux Revista Matemática Iberoamericana 40 (1), 93-110, 2024 | 9 | 2024 |
The thresholding scheme for mean curvature flow and de Giorgi's ideas for minimizing movements T Laux, F Otto The Role of Metrics in the Theory of Partial Differential Equations 85, 63-94, 2020 | 9 | 2020 |
Phase-field methods for spectral shape and topology optimization H Garcke, P Hüttl, C Kahle, P Knopf, T Laux ESAIM: Control, Optimisation and Calculus of Variations 29, 10, 2023 | 8 | 2023 |
The Hele–Shaw flow as the sharp interface limit of the Cahn–Hilliard equation with disparate mobilities M Kroemer, T Laux Communications in Partial Differential Equations 47 (12), 2444-2486, 2022 | 7 | 2022 |
De Giorgi’s inequality for the thresholding scheme with arbitrary mobilities and surface tensions T Laux, J Lelmi Calculus of Variations and Partial Differential Equations 61 (1), 35, 2022 | 6 | 2022 |
A new varifold solution concept for mean curvature flow: Convergence of the Allen–Cahn equation and weak-strong uniqueness, preprint (2021) S Hensel, T Laux arXiv preprint arXiv:2109.04233, 0 | 5 | |