- A Cahn--Hilliard--Willmore phase field model for non-oriented interfaces
2024/12/20 by Bretin, Elie, Chambolle, Antonin, Masnou, Simon · 1 citation
#35A15 #35A35 #53E10 #53E40 #65M32 #74N20 #FOS: Mathematics #Optimization and Control (math.OC)
- Global existence for the Willmore flow with boundary via Simon's Li-Yau inequality
2024/02/12 by Manuel Schlierf, Schlierf, Manuel · 1 citation
Mathematics · #35B40 #35J35 (secondary) #35K41 #49Q10 (primary) #53E40 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
- Curvature diffusion of planar curves with generalised Neumann boundary conditions inside cones
2023/12/29 by Mashniah Gazwani, Gazwani, Mashniah, James McCoy +1 · 1 citation
Mathematics · #35G61 #53E40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations
- A thresholding algorithm to Willmore-type flows via fourth order linear parabolic equation
2023/11/22 by K. Ishi, Ishii, Katsuyuki, Yoshihito Kohsaka +5 · 1 citation
Mathematics · #35K30 #35R37 #53E40 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Numerical Analysis (math.NA)
- Elastic flow of curves with partial free boundary
2023/10/23 by Diana, Antonia · 1 citation
#35A01 #35G31 #53E40 #Analysis of PDEs (math.AP) #FOS: Mathematics
- The Parametric Willmore Flow
2023/08/06 by Francesco Palmurella, Tristan Rivière, Palmurella, Francesco +1 · 1 citation
Engineering · Mathematics · #35J35 #35J48 #35K46 #49Q10 #53A05 #53E10 #53E40 #58E15 #58E30 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
- The p-elastic flow for planar closed curves with constant parametrization
2021/04/08 by Shinya Okabe, Glen Wheeler, Okabe, Shinya +1 · 2 citations
Mathematics · #53A04 #53E40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations
- Approximation of surface diffusion flow: a second order variational Cahn--Hilliard model with degenerate mobilities
2020/07/07 by Bretin, Elie, Masnou, Simon, Sengers, Arnaud +1 · 1 citation
#35A15 #35A35 #53E10 #53E40 #65M32 #74N20 #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA)