Contracting convex immersed closed plane curves with slow speed of curvature
From MaRDI portal
Publication:2844728
DOI10.1090/S0002-9947-2012-05611-XzbMath1279.53066arXiv1009.4777OpenAlexW2044824908MaRDI QIDQ2844728
Yu-Chu Lin, Chi-Cheung Poon, Dong-Ho Tsai
Publication date: 19 August 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.4777
Related Items
Deforming a hypersurface by Gauss curvature and support function, The evolution of immersed locally convex plane curves driven by anisotropic curvature flow, Upper estimates for blow-up solutions of a quasi-linear parabolic equation, On a nonlinear parabolic equation arising from anisotropic plane curve evolution, On length-preserving and area-preserving nonlocal flow of convex closed plane curves, Expanding convex immersed closed plane curves, Evolution of highly symmetric curves under the shrinking curvature flow, Asymptotic expansions of traveling wave solutions for a quasilinear parabolic equation
Cites Work
- Unnamed Item
- Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations
- Contracting convex immersed closed plane curves with fast speed of curvature
- Geometric expansion of convex plane curves
- Curve shortening makes convex curves circular
- On the formation of singularities in the curve shortening flow
- On a simple maximum principle technique applied to equations on the circle
- Expanding convex immersed closed plane curves
- Evolving a convex closed curve to another one via a length-preserving linear flow
- The normalized curve shortening flow and homothetic solutions
- Blow-up of solutions of nonlinear degenerate parabolic equations
- The heat equation shrinking convex plane curves
- The heat equation shrinks embedded plane curves to round points
- An expansion of convex hypersurfaces
- Evolving convex curves
- Convergence for degenerate parabolic equations
- Harnack inequalities for evolving hypersurfaces
- Geometric aspects of Aleksandrov reflection and gradient estimates for parabolic equations
- Convex curves moving homothetically by negative powers of their curvature
- Asymptotic shape of cusp singularities in curve shortening
- Non-convergence and instability in the asymptotic behaviour of curves evolving by curvature
- Expansion of embedded curves with turning angle greater than \(-\pi\)
- Blowup behavior of an equation arising from plane-curves expansion.
- Convex curves moving translationally in the plane
- Asymptotic closeness to limiting shapes for expanding embedded plane curves
- Behavior of the gradient for solutions of parabolic equations on the circle
- Deforming a hypersurface by its Gauss-Kronecker curvature
- On the blow-up set for u_t=du^m+u^m, m>1
- Classification of limiting shapes for isotropic curve flows
- Blowup and convergence of expanding immersed convex plane curves