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Tim Laux
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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
872016
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
542018
Convergence of thresholding schemes incorporating bulk effects
T Laux, D Swartz
Interfaces and Free Boundaries 19 (2), 273-304, 2017
342017
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
312020
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
302020
Brakke’s inequality for the thresholding scheme
T Laux, F Otto
Calculus of Variations and Partial Differential Equations 59, 1-26, 2020
212020
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
202021
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
182018
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
132021
Implicit time discretization for the mean curvature flow of mean convex sets
G De Philippis, T Laux
arXiv preprint arXiv:1806.02716, 2018
122018
Weak-strong uniqueness for the mean curvature flow of double bubbles
S Hensel, T Laux
Interfaces and Free Boundaries 25 (1), 37-107, 2022
112022
Mullins-Sekerka as the Wasserstein flow of the perimeter
A Chambolle, T Laux
Proceedings of the American Mathematical Society 149 (7), 2943-2956, 2021
112021
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
112019
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
102021
Weak-strong uniqueness for volume-preserving mean curvature flow
T Laux
Revista Matemática Iberoamericana 40 (1), 93-110, 2024
92024
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
92020
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
82023
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
72022
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
62022
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
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