Add to ORKGCurve shortening is a geometric process that continually evolves a curve based on its curvature.Self-similar solutions to the curve shortening equation maintain their form throughoutthe process, though they can be scaled, translated, or rotated. These self-similar solutionscorrespond to the invariant solutions of the symmetry method for solving differential equations
Amongst the several analytic methods available to obtain exact solutions of non-linear differential ...
AbstractWe show how solutions to practical partial differential equations can be found by classical ...
On the occasion of Richard Hamilton’s nth birthday Abstract. We provide a detailed description of so...
We present a general method for analysing and numerically solving partial differential equations wit...
Curve shortening in the z-plane in which, at a given point on the curve, the normal velocity of the ...
We provide a detailed description and classification of solutions to the curve shortening equation i...
In this thesis methods of symmetry reduction are applied to several physically relevant partial diff...
Differential equations are vitally important in numerous scientific fields. Oftentimes, they are qui...
In this paper we prove the existence of self-similar solutions to the anisotropic curve shortening e...
In the late nineteenth century, Sophius Lie developed a technique to solve differential equations us...
AbstractThe ‘traditional’ curve-straightening flow is based on one of the standard Sobolev inner pro...
A geometric flow is a process which is defined by a differential equation and is used to evolve a ge...
Abstract. The geometry of a space curve is described in terms of a Euclidean invariant frame field, ...
The aim is to construct a straight line between the two endpoints of a rectifiable curve u...
I present a technique for constructing self-similar curves from smooth base curves. The technique is...
Amongst the several analytic methods available to obtain exact solutions of non-linear differential ...
AbstractWe show how solutions to practical partial differential equations can be found by classical ...
On the occasion of Richard Hamilton’s nth birthday Abstract. We provide a detailed description of so...
We present a general method for analysing and numerically solving partial differential equations wit...
Curve shortening in the z-plane in which, at a given point on the curve, the normal velocity of the ...
We provide a detailed description and classification of solutions to the curve shortening equation i...
In this thesis methods of symmetry reduction are applied to several physically relevant partial diff...
Differential equations are vitally important in numerous scientific fields. Oftentimes, they are qui...
In this paper we prove the existence of self-similar solutions to the anisotropic curve shortening e...
In the late nineteenth century, Sophius Lie developed a technique to solve differential equations us...
AbstractThe ‘traditional’ curve-straightening flow is based on one of the standard Sobolev inner pro...
A geometric flow is a process which is defined by a differential equation and is used to evolve a ge...
Abstract. The geometry of a space curve is described in terms of a Euclidean invariant frame field, ...
The aim is to construct a straight line between the two endpoints of a rectifiable curve u...
I present a technique for constructing self-similar curves from smooth base curves. The technique is...
Amongst the several analytic methods available to obtain exact solutions of non-linear differential ...
AbstractWe show how solutions to practical partial differential equations can be found by classical ...
On the occasion of Richard Hamilton’s nth birthday Abstract. We provide a detailed description of so...