Solution of nonlinear curvature driven evolution of plane convex curves

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

Affine invariant distance using multiscale analysis ⋮ On the approximation of blow-up time for solutions of nonlinear parabolic equations

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface
Motion of level sets by mean curvature. I
On the formation of singularities in the curve shortening flow
The normalized curve shortening flow and homothetic solutions
The heat equation shrinking convex plane curves
The heat equation shrinks embedded plane curves to round points
Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions
Solution of porous medium type systems by linear approximation schemes
Axioms and fundamental equations of image processing
Solution of nonlinear diffusion appearing in image smoothing and edge detection
Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
A numerical method for solving the problem $u_t - \Delta f (u) = 0$
Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
User’s guide to viscosity solutions of second order partial differential equations
Solution of Some Free Boundary Problems by Relaxation Schemes
Solution of Nonlinear Diffusion Problems by Linear Approximation Schemes
AXIOMATIC DERIVATION OF IMAGE PROCESSING MODELS
CONVERGENCE OF A SEMI-DISCRETE SCHEME FOR THE CURVE SHORTENING FLOW
Evolution of Convex Plane Curves Describing Anisotropic Motions of Phase Interfaces
Solution of doubly nonlinear and degenerate parabolic problems by relaxation schemes
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

This page was built for publication: Solution of nonlinear curvature driven evolution of plane convex curves