In this paper we prove the existence of self-similar solutions to the anisotropic curve shortening equation
In this paper, we will investigate a new curvature flow for closed convex plane curves which shorten...
We study the forward self-similar solutions to a parabolic system modeling chemotaxis ut=∇·(∇u-u∇v),...
I present a technique for constructing self-similar curves from smooth base curves. The technique is...
In this paper we prove the existence of self-similar solutions to the anisotropic curve shortening e...
this paper we prove the existence of self-similar solutions to the anisotropic curve shortening equa...
In the first part of this thesis, we give a classification of all self-similar solutions to the curv...
AbstractWe show that a nontrivial homothetic self-similar solution can happen only when F(k)=kα or F...
We study the existence of 2 pi-periodic positive solutions of the equation u(theta theta) + u = a...
Curve shortening is a geometric process that continually evolves a curve based on its curvature.Self...
The existence of 2 pi-periodic positive solutions of the equation u '' + u - a(x)/u(3) ...
This is a joint work with Prof. C. Dohmen and Prof. Y. Giga. We consider a simple looking ordinary d...
AbstractThe problem of curve evolution as a function of its local geometry arises naturally in many ...
We consider the anisotropic mean curvature flow of entire Lipschitz graphs. We prove existence and u...
In this paper, we examine the Lorentzian similar plane curvesusing the hyperbolic structure and sphe...
Abstract. We present new examples of complete embedded self-similar sur-faces under mean curvature b...
In this paper, we will investigate a new curvature flow for closed convex plane curves which shorten...
We study the forward self-similar solutions to a parabolic system modeling chemotaxis ut=∇·(∇u-u∇v),...
I present a technique for constructing self-similar curves from smooth base curves. The technique is...
In this paper we prove the existence of self-similar solutions to the anisotropic curve shortening e...
this paper we prove the existence of self-similar solutions to the anisotropic curve shortening equa...
In the first part of this thesis, we give a classification of all self-similar solutions to the curv...
AbstractWe show that a nontrivial homothetic self-similar solution can happen only when F(k)=kα or F...
We study the existence of 2 pi-periodic positive solutions of the equation u(theta theta) + u = a...
Curve shortening is a geometric process that continually evolves a curve based on its curvature.Self...
The existence of 2 pi-periodic positive solutions of the equation u '' + u - a(x)/u(3) ...
This is a joint work with Prof. C. Dohmen and Prof. Y. Giga. We consider a simple looking ordinary d...
AbstractThe problem of curve evolution as a function of its local geometry arises naturally in many ...
We consider the anisotropic mean curvature flow of entire Lipschitz graphs. We prove existence and u...
In this paper, we examine the Lorentzian similar plane curvesusing the hyperbolic structure and sphe...
Abstract. We present new examples of complete embedded self-similar sur-faces under mean curvature b...
In this paper, we will investigate a new curvature flow for closed convex plane curves which shorten...
We study the forward self-similar solutions to a parabolic system modeling chemotaxis ut=∇·(∇u-u∇v),...
I present a technique for constructing self-similar curves from smooth base curves. The technique is...