1. Nearly G₂-manifolds and G₂-Laplacian co-flows
   2025/05/20 by Lotay, Jason D., Stein, Jakob · 2 citations
   #53C10 #53C25 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics
2. Structure-preserving parametric finite element method for curve diffusion based on Lagrange multiplier approaches
   2024/08/24 by Harald Garcke, Garcke, Harald, Wei Jiang +5 · 1 citation
   Engineering · #35K55 #53C44 #65M12 #65M60 #Advanced Numerical Analysis Techniques #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
3. On the minimality of the Winterbottom shape
   2024/02/03 by Kholmatov, Shokhrukh Yu. · 1 citation
   #35A15 #35D30 #35D35 #49Q20 #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
4. Consistency of minimizing movements with smooth mean curvature flow of droplets with prescribed contact-angle in \mathbb R³
   2024/01/12 by Kholmatov, Shokhrukh · 1 citation
   #35A15 #35D30 #35D35 #49Q20 #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
5. A second-order in time, BGN-based parametric finite element method for geometric flows of curves
   2023/09/22 by Wei Jiang, Jiang, Wei, Chunmei Su +3 · 2 citations
   Engineering · Physics and Astronomy · #35K55 #53C44 #65M12 #65M60 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
6. On the rate of convergence of the rescaled mean curvature flow
   2023/02/13 by Martin-Hagemayer, Rory, Sesum, Natasa · 2 citations
   #53C44 #Differential Geometry (math.DG) #FOS: Mathematics
7. A New Monotone Quantity in Mean Curvature Flow Implying Sharp Homotopic Criteria
   2023/01/22 by Tsai, Chung-Jun, Tsui, Mao-Pei, Wang, Mu-Tao · 1 citation
   #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)
8. A structure-preserving parametric finite element method for geometric flows with anisotropic surface energy
   2022/11/01 by Bao, Weizhu, Li, Yifei · 2 citations
   #35K55 #53C44 #65M12 #65M60 #FOS: Mathematics #Numerical Analysis (math.NA)
9. A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow
   2022/08/02 by Jiang, Wei, Su, Chunmei, Zhang, Ganghui · 2 citations
   #35K55 #53C44 #65M12 #65M60 #FOS: Mathematics #Numerical Analysis (math.NA)
10. Type II smoothing in mean curvature flow
    2021/08/19 by Angenent, Sigurd, Daskalopoulos, Panagiota, Sesum, Natasa · 1 citation
    #53C44 #Analysis of PDEs (math.AP) #FOS: Mathematics
11. Stability of the Volume Preserving Mean Curvature Flow in Hyperbolic Space
    2021/07/28 by Zheng Huang, Longzhi Lin, Huang, Zheng +3 · 1 citation
    Mathematics · Physics and Astronomy · #53C44 #58J35 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
12. Graphical translators for anisotropic and crystalline mean curvature flow
    2021/07/26 by Cesaroni, Annalisa, Kroener, Heiko, Novaga, Matteo · 2 citations
    #35R11 #49Q20 #53C44 #Analysis of PDEs (math.AP) #FOS: Mathematics
13. Convergence of the Yamabe flow on singular spaces with positive Yamabe constant
    2021/06/03 by Carron, Gilles, Lye, Jørgen Olsen, Vertman, Boris · 1 citation
    #35K08 #53C44 #58J35 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
14. Uniformization of compact foliated spaces by surfaces of hyperbolic type
    2021/03/19 by Muñiz, Richard, Verjovsky, Alberto · 1 citation
    #53C12 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics
15. Existence of finite global norm of potential vector field in a Ricci soliton
    2021/02/10 by Shaikh, Absos Ali, Mondal, Chandan Kumar, Mandal, Prosenjit · 1 citation
    #53C20 #53C21 #53C44 #FOS: Mathematics #General Mathematics (math.GM)
16. Pluriclosed and Strominger Kähler-like metrics compatible with abelian complex structures
    2021/02/03 by Fino, Anna, Tardini, Nicoletta, Vezzoni, Luigi · 2 citations
    #22E25 #53C44 #53C55 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics
17. A minimising movement scheme for the p-elastic energy of curves
    2021/01/25 by Simon Blatt, Blatt, Simon, Nicole Vorderobermeier +3 · 1 citation
    Computer Science · Mathematics · #53A04 #53C44 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
18. Stability of Compact Symmetric Spaces
    2020/12/14 by Semmelmann, Uwe, Weingart, Gregor · 1 citation
    #53C25 #53C27 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics
19. Classification of ancient flows by sub-affine-critical powers of curvature in ℝ²
    2020/12/03 by Choi, Kyeongsu, Sun, Liming · 1 citation
    #53A04 #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
20. A rigidity estimate for maps from S² to S² via the harmonic map flow
    2020/09/22 by Topping, Peter M. · 2 citations
    #53C43 #53C44 #58E20 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
21. On the Oval Shapes of Beach Stones
    2020/08/05 by Theodore P. Hill, Hill, Theodore P. · 1 citation
    Earth and Planetary Sciences · Engineering · #35Q86 #53C44 #Aeolian processes and effects #FOS: Physical sciences #Geological formations and processes #Hydrocarbon exploration and reservoir analysis #Primary 86A60 #Secondary 45K05 #Soft Condensed Matter (cond-mat.soft)
22. Contraction of convex hypersurfaces by nonhomogeneous functions of curvature
    2020/05/19 by McCoy, James · 1 citation
    #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
23. Self-expanders of the mean curvature flow
    2020/05/12 by Smoczyk, Knut · 1 citation
    #53C21 #53C42 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics
24. Uniqueness of ancient solutions to Gauss curvature flow asymptotic to a cylinder
    2020/04/24 by Beomjun Choi, Choi, Beomjun, Kyeongsu Choi +3 · 2 citations
    Computer Science · Mathematics · #35K55 #53C44 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
25. A mountain-pass theorem for asymptotically conical self-expanders
    2020/03/30 by Bernstein, Jacob, Wang, Lu · 1 citation
    #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
26. Existence and Uniqueness of the Motion by Curvature of regular networks
    2020/03/22 by Gößwein, Michael, Menzel, Julia, Pluda, Alessandra · 1 citation
    #35D35 #35K51 #35K59 #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
27. Ancient solutions to the Curve Shortening Flow spanning the halfplane
    2020/03/06 by John Man Shun Ma, Ma, John Man Shun · 1 citation
    Mathematics · #53C44 #Advanced Differential Equations and Dynamical Systems #Differential Geometry (math.DG) #FOS: Mathematics #Meromorphic and Entire Functions #Nonlinear Partial Differential Equations
28. Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups
    2020/02/17 by Pujia, Mattia · 1 citation
    #53B15 #53C07 #53C15 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics
29. A report on the hypersymplectic flow
    2020/01/31 by Fine, Joel, Yao, Chengjian · 1 citation
    #53C26 #53C44 #53D35 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)
30. On the maximal rate of convergence under the Ricci flow
    2020/01/05 by Kotschwar, Brett · 1 citation
    #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

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