Zobrazeno 1 - 10
of 505
pro vyhledávání: '"McCOY, JAMES"'
Autor:
Gazwani, Mashniah A., McCoy, James A.
We study families of smooth, embedded, regular planar curves $ \alpha : \left [-1,1 \right ]\times \left [0,T \right )\to \mathbb{R}^{2}$ with generalised Neumann boundary conditions inside cones, satisfying three variants of the fourth-order nonline
Externí odkaz:
http://arxiv.org/abs/2411.14806
Autor:
Gazwani, Mashniah, McCoy, James
We study families of smooth immersed regular planar curves $ \alpha : \left [-1,1 \right ]\times \left [0,T \right )\to \mathbb{R}^{2}$ satisfying the fourth order nonlinear curve diffusion flow with generalised Neumann boundary conditions inside con
Externí odkaz:
http://arxiv.org/abs/2312.17490
Autor:
McCoy, James A., Otuf, Ibraheem
Publikováno v:
In Journal of Differential Equations 15 July 2024 397:166-198
A recent article by the first two authors together with B Andrews and V-M Wheeler considered the so-called `ideal curve flow', a sixth order curvature flow that seeks to deform closed planar curves to curves with least variation of total geodesic cur
Externí odkaz:
http://arxiv.org/abs/2012.10022
Autor:
McCoy, James
A recent article Li and Lv considered contraction of convex hypersurfaces by certain nonhomogeneous functions of curvature, showing convergence to points in finite time in certain cases where the speed is a function of a degree-one homogeneous, conca
Externí odkaz:
http://arxiv.org/abs/2005.09326
Autor:
McCoy, James
A recent article by Li and Lv considered fully nonlinear contraction of convex hypersurfaces by certain nonhomogeneous functions of curvature, showing convergence to points in finite time in cases where the speed is a function of a degree-one homogen
Externí odkaz:
http://arxiv.org/abs/2005.09333
We consider the parabolic polyharmonic diffusion and $L^2$-gradient flows of the $m$-th arclength derivative of curvature for regular closed curves evolving with generalised Neumann boundary conditions. In the polyharmonic case, we prove that if the
Externí odkaz:
http://arxiv.org/abs/2001.06140
We show that any initial closed curve suitably close to a circle flows under length-constrained curve diffusion to a round circle in infinite time with exponential convergence. We provide an estimate on the total length of time for which such curves
Externí odkaz:
http://arxiv.org/abs/1901.07128
Publikováno v:
In Journal of Differential Equations 25 January 2023 344:1-43
Autor:
McCoy, James, Wheeler, Glen
We consider surfaces with boundary satisfying a sixth order nonlinear elliptic partial differential equation corresponding to extremising the $L^2$-norm of the gradient of the mean curvature. We show that such surfaces with small $L^2$-norm of the se
Externí odkaz:
http://arxiv.org/abs/1812.04761