Tim Laux
- Convergence of the thresholding scheme for multi-phase mean-curvature\n flow
2016/02/18 by Tim Laux, Félix Otto, Laux, Tim +1 · 5 citations
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Geometry and complex manifolds
- Convergence of the Allen-Cahn Equation to multi-phase mean-curvature\n flow
2016/06/23 by Tim Laux, Laux, Tim, Simon, Thilo · 4 citations
Computer Science · Materials Science · Mathematics · #35A15 #35K57 #35K93 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Solidification and crystal growth phenomena
- Convergence rates of the Allen-Cahn equation to mean curvature flow: A\n short proof based on relative entropies
2020/02/27 by Julian Fischer, Fischer, Julian, Tim Laux +3 · 3 citations
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Meromorphic and Entire Functions #Nonlinear Partial Differential Equations
- A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness
2021/09/09 by Sebastian Hensel, Tim Laux, Hensel, Sebastian +1 · 3 citations
Mathematics · Computer Science · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering
- Large data limit of the MBO scheme for data clustering: convergence of the dynamics
2022/09/13 by Tim Laux, Laux, Tim, Jona Lelmi +1 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #35D40 #Analysis of PDEs (math.AP) #Bayesian Methods and Mixture Models #FOS: Mathematics #Numerical Analysis (math.NA) #Statistics Theory (math.ST) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Weak-strong uniqueness for volume-preserving mean curvature flow
2022/05/25 by Tim Laux, Laux, Tim · 2 citations
Mathematics · #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
- The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions
2020/03/11 by Julian Fischer, Sebastian Hensel, Fischer, Julian +5 · 2 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Black Holes and Theoretical Physics
- A weak-strong uniqueness principle for the Mullins-Sekerka equation
2024/04/03 by Julian Fischer, Fischer, Julian, Sebastian Hensel +5 · 2 citations
Mathematics · Engineering · #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations #Numerical methods in inverse problems
- Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets
2022/01/02 by Jakob Fuchs, Tim Laux, Fuchs, Jakob +1 · 1 citation
Mathematics · #35A21 (secondary) #35B51 (primary) #53E10 #65M12 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Markov Chains and Monte Carlo Methods #Nonlinear Partial Differential Equations
- Quantitative convergence of the nonlocal Allen--Cahn equation to volume-preserving mean curvature flow
2023/09/21 by Milan Kroemer, Kroemer, Milan, Tim Laux +1 · 1 citation
Mathematics · #35K57 #53E10 #Analysis of PDEs (math.AP) #Analytic and geometric function theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations