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Geometrical interpretations of continuous and complex-lamellar steady flows
, 2017Three dimensional incompressible steady flows were investigated from a kinematical perspective. It is shown that their geometry, as defined by their streamline curvature, is directly related to the C u r l of the associated unit tangent vector t .
Ioannis Dimitriou
semanticscholar +1 more source
On the parametric finite element approximation of evolving hypersurfaces in R3
Journal of Computational Physics, 2008We present a variational formulation of motion by minus the Laplacian of curvature and mean curvature flow, as well as related second and fourth order flows of a closed hypersurface in R 3 .
J. W. Barrett +2 more
semanticscholar +1 more source
A Class of Second-Order Geometric Quasilinear Hyperbolic PDEs and Their Application in Imaging
SIAM Journal of Imaging Sciences, 2019In this paper, we study damped second-order dynamics, which are quasilinear hyperbolic partial differential equations (PDEs). This is inspired by the recent development of second-order damping systems for accelerating energy decay of gradient flows.
Guo-Zhi Dong, M. Hintermüller, Ye Zhang
semanticscholar +1 more source
Interior gradient estimates for mean curvature type equations and related flows
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs, 2021Li Ma
semanticscholar +1 more source
Conformal curvature flows on compact manifold of negative Yamabe constant
, 2018Xue-Zhang Chen, Pak-Tung Ho
semanticscholar +1 more source
Riemannian Mean Curvature Flow
International Symposium on Visual Computing, 2005Raúl San José Estépar +2 more
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SO(2) Symmetry of the Translating Solitons of the Mean Curvature Flow in \mathbb {R}^4\mathbb {R}^4
Annals of PDE, 2022Jingze Zhu
exaly
Uniqueness of two-convex closed ancient solutions to the mean curvature flow
Annals of Mathematics, 2020Panagiota Daskalopoulos
exaly