Add to ORKGWe study the evolution of closed inextensible planar curves under a second order flow that decreases the p-elastic energy. A short time existence result for p ∈ (1 , ∞) is obtained via a minimizing movements method. For p= 2, that is in the case of the classic elastic energy, long-time existence is retrieved
In this article we show that for initial data close to local minimizers of the Möbius energy the gra...
In this note we announce some results that will appear in [6] on the minimization of the functional ...
We consider the numerical approximation of theL2–gradient flow of general curvatureenergies∫G(|~κ|) ...
In this paper we study the $H^2(ds)$-gradient flow for the modified elastic energy defined on closed...
This thesis studies curvature flows of planar curves with Neumann boundary condition and flows of cl...
In a previous work by the authors a second order gradient flow of the p-elastic energy for a planar ...
summary:The gradient flow of bending energy for plane curve is studied. The flow is considered under...
We apply the penalty method to the curve straightening flow of inextensible planar open curves gener...
The elastic energy of a bending-resistant interface depends both on its geometry and its material co...
Deckelnick and Dziuk (2009) proved a stability bound for a continuous-in-time semidiscrete parametri...
We consider closed planar curves with fixed length whose elastic energy depends on an additional den...
AbstractWe derive the evolution equations for an inelastic plane curve, i.e., a curve whose length i...
2020, Mathematical Sciences Publishers. All rights reserved. We use a gradient flow to deform closed...
The L2-gradient flow of the elastic energy of networks leads to a Willmore type evolution law with n...
This paper delves into the intricate study of the elastic flow of closed curves and of open curves w...
In this article we show that for initial data close to local minimizers of the Möbius energy the gra...
In this note we announce some results that will appear in [6] on the minimization of the functional ...
We consider the numerical approximation of theL2–gradient flow of general curvatureenergies∫G(|~κ|) ...
In this paper we study the $H^2(ds)$-gradient flow for the modified elastic energy defined on closed...
This thesis studies curvature flows of planar curves with Neumann boundary condition and flows of cl...
In a previous work by the authors a second order gradient flow of the p-elastic energy for a planar ...
summary:The gradient flow of bending energy for plane curve is studied. The flow is considered under...
We apply the penalty method to the curve straightening flow of inextensible planar open curves gener...
The elastic energy of a bending-resistant interface depends both on its geometry and its material co...
Deckelnick and Dziuk (2009) proved a stability bound for a continuous-in-time semidiscrete parametri...
We consider closed planar curves with fixed length whose elastic energy depends on an additional den...
AbstractWe derive the evolution equations for an inelastic plane curve, i.e., a curve whose length i...
2020, Mathematical Sciences Publishers. All rights reserved. We use a gradient flow to deform closed...
The L2-gradient flow of the elastic energy of networks leads to a Willmore type evolution law with n...
This paper delves into the intricate study of the elastic flow of closed curves and of open curves w...
In this article we show that for initial data close to local minimizers of the Möbius energy the gra...
In this note we announce some results that will appear in [6] on the minimization of the functional ...
We consider the numerical approximation of theL2–gradient flow of general curvatureenergies∫G(|~κ|) ...