Results 11 to 20 of about 5,163 (128)
Convergence of nonlocal geometric flows to anisotropic mean curvature motion [PDF]
, 2021 We consider nonlocal curvature functionals associated with positive interaction kernels, and we show that local anisotropic mean curvature functionals can be retrieved in a blow-up limit from them.
Pagliari, Valerio; orcid: +3 more
core +1 more source
Mean curvature flow in an extended Ricci flow background
, 2023 In this paper, we consider functionals related to mean curvature flow in an ambient space which evolves by an extended Ricci flow from the perspective introduced by Lott when studying a mean curvature flow in a Ricci flow background.
Gomes, José N. V., Hudson, Matheus
core +2 more sources
A Rigorous Sharp Interface Limit of a Diffuse Interface Model Related to Tumor Growth [PDF]
, 2016 In this paper, we study the rigorous sharp interface limit of a diffuse interface model related to the dynamics of tumor growth, when a parameter ε, representing the interface thickness between the tumorous and non-tumorous cells, tends to zero.
ROCCA E +5 more
core +2 more sources
Discrete Differential Operators for Computer Graphics [PDF]
, 2004 This thesis presents a family of discrete differential operators. Since these operators are derived taking into account the continuous notions of differential geometry, they possess many similar properties.
Meyer, Mark
core +1 more source
Lectures on mean curvature flows
, 2002 "Mean curvature flow" is a term that is used to describe the evolution of a hypersurface whose normal velocity is given by the mean curvature. In the simplest case of a convex closed curve on the plane, the properties of the mean curvature flow are ...
Zhu, Xi-Ping, Xi-Ping Zhu
core +1 more source
Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation [PDF]
, 2007 summary:We show stability and consistency of the linear semi-implicit complementary volume numerical scheme for solving the regularized, in the sense of Evans and Spruck, mean curvature flow equation in the level set formulation.
Mikula, Karol +2 more
core +1 more source
Modelling of turbulent swirling flows [PDF]
, 2004 This thesis investigates the predictability of non-reacting and reacting anistropic turbulent, swirling flows using popular turbulence models with a robust numrical procedure. The performance of these turbulence models is assessed and compared against
Jones, Lee Nicholas
core
Monotone quantities involving a weighted σk integral along inverse curvature flows
, 2015 We give a family of monotone quantities along smooth solutions to the inverse curvature flows in Euclidean spaces.
Kwong, Kwok-Kun, Miao, Pengzi
core +1 more source
Algorithms for computing motion by mean curvature
, 2018 : "We propose a finite element algorithm for computing the motion of a surface moving by mean curvature. The algorithm uses the level set formulation, so that changes in topology of the surface can be accommodated.
Noel Walkington (5364824)
core +1 more source
General Conformally Induced Mean Curvature Flow
, 2023 This paper continues the investigation of isoperimetric inequalities through volume preserving and area decreasing mean curvature type flows related to conformal Killing vector fields.
Flynn, Joshua, Reznikov, Jacob
core +1 more source