On the rate of convergence of the -curve shortening flow
In this paper we give rates of convergence for the -curve shortening flow for an integer, which improves on the known estimates and which are probably sharp.
Research profile
Alexander Murcia
Works on curve shortening, surfaces and long-time existence & convergence.
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- 2
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2017
2016
The Ricci flow on a cylinder
In this paper we study the Ricci flow on surfaces homeomorphic to a cylinder (that is, a product of the circle with a compact interval). We prove longtime existence results, results on the asymptotic behavior of the flow, and we report on an interesting phenomenon: convergence to constant curvature in the normalised flow,under certain assumptions on the initial data, cannot be exponential.
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- Samuel CuthbertsonShared topics: Curve shortening, Long-time existence & convergence
- Friederike DittbernerShared topics: Curve shortening, Long-time existence & convergence
- Naotoshi FujiharaShared topics: Curve shortening, Surfaces, Long-time existence & convergence
- Tatsuya MiuraShared topics: Curve shortening, Surfaces, Long-time existence & convergence
- Qi SunShared topics: Curve shortening, Long-time existence & convergence
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