Tim Laux

发表

Convergence of thresholding schemes incorporating bulk effects

Tim Laux, Drew Swartz, Tim Laux, 2016, 1601.02467.

Convergence of the Allen‐Cahn Equation to Multiphase Mean Curvature Flow

Thilo M. Simon, Tim Laux, 2016, 1606.07318.

Convergence of the thresholding scheme for multi-phase mean-curvature flow

F. Otto, Tim Laux, 2016, 1602.05857.

A ug 2 01 6 Convergence of the thresholding scheme for multi-phase mean-curvature flow

F. Otto, Tim Laux, 2018 .

Analysis of Diffusion Generated Motion for Mean Curvature Flow in Codimension Two: A Gradient-Flow Approach

N. Yip, Tim Laux, 2018, Archive for Rational Mechanics and Analysis.

Large data limit of the MBO scheme for data clustering: $\Gamma$-convergence of the thresholding energies

Tim Laux, Jona Lelmi, 2021, 2112.06737.

Large data limit of the MBO scheme for data clustering: $\Gamma$-convergence of the thresholding energies

Tim Laux, Jona Lelmi, 2021, 2112.06737.

Analysis of thresholding for codimension two motion by mean curvature: a gradient-flow approach

Tim Laux, Aaron Yip, 2018, 1804.00747.

Analysis of Diffusion Generated Motion for Mean Curvature Flow in Codimension Two: A Gradient-Flow Approach

N. Yip, Tim Laux, 2018, Archive for Rational Mechanics and Analysis.

De Giorgi’s inequality for the thresholding scheme with arbitrary mobilities and surface tensions

Tim Laux, Jona Lelmi, 2022, Calculus of Variations and Partial Differential Equations.

Brakke’s inequality for the thresholding scheme

F. Otto, Tim Laux, 2020, Calculus of Variations and Partial Differential Equations.

Brakke’s inequality for the thresholding scheme

F. Otto, Tim Laux, 2017, Calculus of Variations and Partial Differential Equations.

Convergence of the thresholding scheme for multi-phase mean-curvature flow

F. Otto, Tim Laux, 2016, Calculus of Variations and Partial Differential Equations.

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

Tim Laux, J. Fischer, S. Hensel, 2022, 2212.11840.

Phase-field methods for spectral shape and topology optimization

Tim Laux, H. Garcke, P. Knopf, 2021, ESAIM: Control, Optimisation and Calculus of Variations.

A phase-field version of the Faber--Krahn theorem

Tim Laux, P. Knopf, Paul Huttl, 2022, 2207.10946.

Sharp Interface Limit of the Cahn-Hilliard Reaction Model for Lithium-ion Batteries

Tim Laux, Kerrek Stinson, 2022, 2209.07380.

Diffuse-interface approximation and weak–strong uniqueness of anisotropic mean curvature flow

Tim Laux, Kerrek Stinson, C. Ullrich, 2022, European Journal of Applied Mathematics.

Generic level sets in mean curvature flow are BV solutions

Tim Laux, A. Ullrich, 2023, 2301.01097.

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

Sebastian Hensel, Tim Laux, Tim Laux, 2021, 2109.04233.

Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets

Tim Laux, Jakob Fuchs, 2022, 2201.00413.

De Giorgi’s inequality for the thresholding scheme with arbitrary mobilities and surface tensions

Tim Laux, Jona Lelmi, 2021, Calculus of Variations and Partial Differential Equations.

Distributional solutions to mean curvature flow

Tim Laux, Tim Laux, 2021, 2108.08347.

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

Sebastian Hensel, Tim Laux, Tim Laux, 2021, 2108.01733.

The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions

Thilo M. Simon, Tim Laux, J. Fischer, 2020, 2003.05478.

The thresholding scheme for mean curvature flow and de Giorgi's ideas for minimizing movements

F. Otto, Tim Laux, 2019, 1910.11442.

Mullins-Sekerka as the Wasserstein flow of the perimeter

A. Chambolle, Tim Laux, 2019, 1910.02508.

Gradient-flow techniques for the analysis of numerical schemes for multi-phase mean-curvature flow

Tim Laux, 2018 .

Large data limit of the MBO scheme for data clustering: convergence of the dynamics

Tim Laux, Jona Lelmi, 2022, ArXiv.

Convergence Rates of the Allen-Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies

Thilo M. Simon, Tim Laux, J. Fischer, 2020, SIAM J. Math. Anal..

A uniqueness and stability principle for surface diffusion

Tim Laux, Milan Kroemer, 2022, 2212.12487.

The elastic flow of curves on the sphere

Paola Pozzi, Tim Laux, Paola Pozzi, 2018 .

Phase-field methods for spectral shape and topology optimization

Tim Laux, H. Garcke, P. Knopf, 2021, ESAIM: Control, Optimisation and Calculus of Variations.

The Hele–Shaw flow as the sharp interface limit of the Cahn–Hilliard equation with disparate mobilities

Tim Laux, Milan Kroemer, Tim Laux, 2021, Communications in Partial Differential Equations.

A uniqueness and stability principle for surface diffusion

Tim Laux, Milan Kroemer, 2022, 2212.12487.

Weak-strong uniqueness for volume-preserving mean curvature flow

Tim Laux, 2022, Revista Matemática Iberoamericana.

Quantitative convergence of the nonlocal Allen--Cahn equation to volume-preserving mean curvature flow

Tim Laux, Milan Kroemer, 2023, 2309.12409.

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

Sebastian Hensel, Tim Laux, Tim Laux, 2021, 2112.11150.

Nematic–Isotropic Phase Transition in Liquid Crystals: A Variational Derivation of Effective Geometric Motions

Tim Laux, Yuning Liu, 2020, Archive for Rational Mechanics and Analysis.

Large Data Limit of the MBO Scheme for Data Clustering

Tim Laux, Jona Lelmi, 2023, PAMM.

Well-posedness for degenerate elliptic PDE arising in optimal learning strategies

J. M. Villas-Boas, Tim Laux, 2019, Interfaces and Free Boundaries.

A phase-field version of the Faber--Krahn theorem

Tim Laux, P. Knopf, Paul Huttl, 2022, 2207.10946.

Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets

Tim Laux, Jakob Fuchs, Tim Laux, 2022, Advances in Calculus of Variations.

Implicit time discretization for the mean curvature flow of mean convex sets

Tim Laux, G. Philippis, 2018, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE.