Add to ORKGThe Mα energy which is usually minimized in branched transport problems among singular 1-dimensional rectifiable vector measures is ap-proximated by means of a sequence of elliptic energies defined on more regular vector fields. The procedure recalls the one of Modica-Mortola related to the approximation of the perimeter. In our context, the double-well potential is replaced by a concave term. The paper contains a proof of Γ−convergence and numerical simulations of optimal networks based on that previous result.
International audienceIn this paper we consider the branched transportation problem in 2D associated...
The transportation problem can be formalized as the problem of finding the optimal way to transport ...
International audienceWe investigate the following question: what is the set of unit volume which ca...
The M α energy which is usually minimized in branched transport problems among singular one-dimensio...
L'énergie Mα qui est minimisée dans les problèmes de transport branché parmi les mesures vectorielle...
Models for branched networks are often expressed as the minimization of an energy Mα ove...
Abstract. In this note we present a way to approximate the Steiner problem by a family of elliptic e...
The problem of branched transportation aims to describe the movement of masses when, due to concavit...
This thesis is devoted to the study of branched transport, related variational problems and fractal ...
In this thesis we devise phase field approximations of some Branched Transportation problems. Branch...
In this paper we consider variational problems involving 1-dimensional connected sets in the Euclide...
Cette thèse est consacrée à l’étude du transport branché, de problèmes variationnels qui y sont liés...
Recently a Dynamic-Monge-Kantorovich formulation of the PDE-based [Formula presented]-optimal transp...
Dans cette thèse, nous concevons des approximations par champ de phase de certains problèmes de Tran...
We develop a phase-field approximation of the relaxation of the perimeter functional in the plane un...
International audienceIn this paper we consider the branched transportation problem in 2D associated...
The transportation problem can be formalized as the problem of finding the optimal way to transport ...
International audienceWe investigate the following question: what is the set of unit volume which ca...
The M α energy which is usually minimized in branched transport problems among singular one-dimensio...
L'énergie Mα qui est minimisée dans les problèmes de transport branché parmi les mesures vectorielle...
Models for branched networks are often expressed as the minimization of an energy Mα ove...
Abstract. In this note we present a way to approximate the Steiner problem by a family of elliptic e...
The problem of branched transportation aims to describe the movement of masses when, due to concavit...
This thesis is devoted to the study of branched transport, related variational problems and fractal ...
In this thesis we devise phase field approximations of some Branched Transportation problems. Branch...
In this paper we consider variational problems involving 1-dimensional connected sets in the Euclide...
Cette thèse est consacrée à l’étude du transport branché, de problèmes variationnels qui y sont liés...
Recently a Dynamic-Monge-Kantorovich formulation of the PDE-based [Formula presented]-optimal transp...
Dans cette thèse, nous concevons des approximations par champ de phase de certains problèmes de Tran...
We develop a phase-field approximation of the relaxation of the perimeter functional in the plane un...
International audienceIn this paper we consider the branched transportation problem in 2D associated...
The transportation problem can be formalized as the problem of finding the optimal way to transport ...
International audienceWe investigate the following question: what is the set of unit volume which ca...