ON A CURVE EXPANDING FLOW WITH A NON-LOCAL TERM
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Publication:3056469
DOI10.1142/S0219199710003981zbMath1206.35136OpenAlexW1974322619WikidataQ125966078 ScholiaQ125966078MaRDI QIDQ3056469
Publication date: 12 November 2010
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219199710003981
Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Curves in Euclidean and related spaces (53A04)
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Cites Work
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- Curve shortening makes convex curves circular
- On the formation of singularities in the curve shortening flow
- Mean curvature evolution of entire graphs
- On a non-local curve evolution problem in the plane
- On a non-local perimeter-preserving curve evolution problem for convex plane curves
- The heat equation shrinks embedded plane curves to round points
- Evolving convex curves
- Convex curves moving homothetically by negative powers of their curvature
- Nonlocal geometric expansion of convex planar curves
- Three-manifolds with positive Ricci curvature
- Curve shortening in a Riemannian manifold
- Curve shortening and the topology of closed geodesics on surfaces
- Asymptotic closeness to limiting shapes for expanding embedded plane curves
- Deforming a hypersurface by its Gauss-Kronecker curvature
- Bonnesen-Style Isoperimetric Inequalities
- On the affine heat equation for non-convex curves
- Remarks on the inverse mean curvature flow
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