Add to ORKGWe provide a detailed description and classification of solutions to the curve shortening equation in Rn that are invariant under one-parameter symmetry groups of the equation. We pay particular attention to geometric properties of the curves and asymptot
International audienceWe exhibit a time reversible geometric flow of planar curves which can develop...
We investigate the existence of graphs that are solitons for the flow of the mean curvature. Under so...
If a curve in R"3 is closed, then the curvature and the torsion are periodic functions satisfyi...
On the occasion of Richard Hamilton’s nth birthday Abstract. We provide a detailed description of so...
Curve shortening is a geometric process that continually evolves a curve based on its curvature.Self...
AbstractA canonical straightening process is described for soliton curves associated with the locali...
We study translating soliton solutions to the flow by powers of the curvature of curves in the plane...
The Kiepert trefoil is an algebraic curve with remarkable geometric and number theoretic properties....
We present a characterization for the rotational soliton for the curve shortening flow (CSF) on the ...
Abstract. We prove that the only closed, embedded ancient solutions to the curve shortening flow on ...
It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly i...
The dynamics of a nonlinear string of constant length represented by a helical space curve may be st...
Abstract. Recursion schemes are familiar in the theory of soliton equations, e.g., in the discussion...
We classify closed, convex, embedded ancient solutions to the curve shortening flow on the sphere, s...
We apply the stabilization technique, developed by T. Zelenyak in 1960s for parabolic equations, on ...
International audienceWe exhibit a time reversible geometric flow of planar curves which can develop...
We investigate the existence of graphs that are solitons for the flow of the mean curvature. Under so...
If a curve in R"3 is closed, then the curvature and the torsion are periodic functions satisfyi...
On the occasion of Richard Hamilton’s nth birthday Abstract. We provide a detailed description of so...
Curve shortening is a geometric process that continually evolves a curve based on its curvature.Self...
AbstractA canonical straightening process is described for soliton curves associated with the locali...
We study translating soliton solutions to the flow by powers of the curvature of curves in the plane...
The Kiepert trefoil is an algebraic curve with remarkable geometric and number theoretic properties....
We present a characterization for the rotational soliton for the curve shortening flow (CSF) on the ...
Abstract. We prove that the only closed, embedded ancient solutions to the curve shortening flow on ...
It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly i...
The dynamics of a nonlinear string of constant length represented by a helical space curve may be st...
Abstract. Recursion schemes are familiar in the theory of soliton equations, e.g., in the discussion...
We classify closed, convex, embedded ancient solutions to the curve shortening flow on the sphere, s...
We apply the stabilization technique, developed by T. Zelenyak in 1960s for parabolic equations, on ...
International audienceWe exhibit a time reversible geometric flow of planar curves which can develop...
We investigate the existence of graphs that are solitons for the flow of the mean curvature. Under so...
If a curve in R"3 is closed, then the curvature and the torsion are periodic functions satisfyi...