We consider the evolution of open planar curves by the steepest descent flow of a geometric functional, with different boundary conditions. We prove that, if any set of stationary solutions with fixed energy is finite, then a solution of the flow converges to a stationary solution as time goes to infinity. We also present a few applications of this result
In these notes we discuss general approaches for rigorously deriving limits of generalized gradient ...
In this paper we study the singular vanishing-viscosity limit of a gradient flow in a finite dimensi...
We present a novel variational approach to gradient-flow evolution in metric spaces. In particular, ...
2020, Mathematical Sciences Publishers. All rights reserved. We use a gradient flow to deform closed...
We are interested in the gradient flow of a general first order convex functional with respect to th...
We study the main consequences of the existence of a Gradient Flow (GF for short), in the form of Ev...
AbstractThe long time behavior of a curve in the whole plane moving by a curvature flow is studied. ...
Wheeler, G. (2013). On the curve diffusion flow of closed plane curves. Annali di Matematica Pura ed...
Abstract. In this note we report on a new variational principle for Gradient Flows in metric spaces....
In this note we report on a new variational principle for Gradient Flows in metric spaces. This new ...
In these notes we discuss general approaches for rigorously deriving limits of generalized gradient ...
We study the asymptotic behaviour of families of gradient flows in a general metric setting, when th...
We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we co...
This is the first of a series of papers devoted to a thorough analysis of the class of gradient flow...
This thesis is devoted to the rigorous study of approximations for (multi-phase) mean curvature flow...
In these notes we discuss general approaches for rigorously deriving limits of generalized gradient ...
In this paper we study the singular vanishing-viscosity limit of a gradient flow in a finite dimensi...
We present a novel variational approach to gradient-flow evolution in metric spaces. In particular, ...
2020, Mathematical Sciences Publishers. All rights reserved. We use a gradient flow to deform closed...
We are interested in the gradient flow of a general first order convex functional with respect to th...
We study the main consequences of the existence of a Gradient Flow (GF for short), in the form of Ev...
AbstractThe long time behavior of a curve in the whole plane moving by a curvature flow is studied. ...
Wheeler, G. (2013). On the curve diffusion flow of closed plane curves. Annali di Matematica Pura ed...
Abstract. In this note we report on a new variational principle for Gradient Flows in metric spaces....
In this note we report on a new variational principle for Gradient Flows in metric spaces. This new ...
In these notes we discuss general approaches for rigorously deriving limits of generalized gradient ...
We study the asymptotic behaviour of families of gradient flows in a general metric setting, when th...
We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we co...
This is the first of a series of papers devoted to a thorough analysis of the class of gradient flow...
This thesis is devoted to the rigorous study of approximations for (multi-phase) mean curvature flow...
In these notes we discuss general approaches for rigorously deriving limits of generalized gradient ...
In this paper we study the singular vanishing-viscosity limit of a gradient flow in a finite dimensi...
We present a novel variational approach to gradient-flow evolution in metric spaces. In particular, ...
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