Minicourse on "Branched transport theory"
Speakers: Jean Michel Morel and Filippo Santambrogio (ENS Cachan)
Location: WPI Seminarroom C714

Mon, 18. Jun (Opening: 9:50)  Wed, 20. Jun 07


Organisation(s)
Wolfgang Pauli Institut 
Organiser(s)
Marco Di Francesco (U. L'Aquila) 

Remark: Click HERE for lecture notes.  
A branched structure is observable in most practical transportation
systems such as draining and irrigation systems,
electric power supply systems and natural objects like the blood
vessels, the river basins, or the trees. Recent
approaches of these transportation networks derive their branched
structure from an energy functional whose essential feature is to
favor wide routes. Given a flow $s$ in a river, a road, a tube or a
wire, the transportation cost per unit length is
supposed in these models to be proportional to s^alpha with 0 < alpha < 1.
The aim of these talks is to compare various (actually equivalent)
variational models for these phenomena, and to make the usual work:
feasibility, existence of weak solutions, regularity, structure
properties, subjacent PDE, open problems and their connections to
geophysical models of optimal river networks. Among the open problems
are the fractal properties of the infinite irrigation trees, and the
existence and regularity of river basins.
Talks in the framework of this event
Morel, Jean Michel 
WPI, Seminarroom C714 
Mon, 18. Jun 07, 10:00 
Branched transport theory (2h) 
A branched structure is observable in most practical transportation
systems such as draining and irrigation systems,
electric power supply systems and natural objects like the blood
vessels, the river basins, or the trees. Recent
approaches of these transportation networks derive their branched
structure from an energy functional whose essential feature is to
favor wide routes. Given a flow $s$ in a river, a road, a tube or a
wire, the transportation cost per unit length is
supposed in these models to be proportional to s^alpha with 0 < alpha < 1.
The aim of these talks is to compare various (actually equivalent)
variational models for these phenomena, and to make the usual work:
feasibility, existence of weak solutions, regularity, structure
properties, subjacent PDE, open problems and their connections to
geophysical models of optimal river networks. Among the open problems
are the fractal properties of the infinite irrigation trees, and the
existence and regularity of river basins.

 Event: Minicourse on "Branched transport theory"; Speakers: Jean Michel Morel and Filippo Santambrogio (ENS Cachan) (2007)

Morel, Jean Michel 
WPI, Seminarroom C714 
Tue, 19. Jun 07, 10:00 
Branched transport theory (2h) 
A branched structure is observable in most practical transportation
systems such as draining and irrigation systems,
electric power supply systems and natural objects like the blood
vessels, the river basins, or the trees. Recent
approaches of these transportation networks derive their branched
structure from an energy functional whose essential feature is to
favor wide routes. Given a flow $s$ in a river, a road, a tube or a
wire, the transportation cost per unit length is
supposed in these models to be proportional to s^alpha with 0 < alpha < 1.
The aim of these talks is to compare various (actually equivalent)
variational models for these phenomena, and to make the usual work:
feasibility, existence of weak solutions, regularity, structure
properties, subjacent PDE, open problems and their connections to
geophysical models of optimal river networks. Among the open problems
are the fractal properties of the infinite irrigation trees, and the
existence and regularity of river basins.

 Event: Minicourse on "Branched transport theory"; Speakers: Jean Michel Morel and Filippo Santambrogio (ENS Cachan) (2007)

Morel, Jean Michel and Santambrogio, Filippo 
WPI, Seminarroom C714 
Wed, 20. Jun 07, 10:00 
Branched transport theory (2h) 
A branched structure is observable in most practical transportation
systems such as draining and irrigation systems,
electric power supply systems and natural objects like the blood
vessels, the river basins, or the trees. Recent
approaches of these transportation networks derive their branched
structure from an energy functional whose essential feature is to
favor wide routes. Given a flow $s$ in a river, a road, a tube or a
wire, the transportation cost per unit length is
supposed in these models to be proportional to s^alpha with 0 < alpha < 1.
The aim of these talks is to compare various (actually equivalent)
variational models for these phenomena, and to make the usual work:
feasibility, existence of weak solutions, regularity, structure
properties, subjacent PDE, open problems and their connections to
geophysical models of optimal river networks. Among the open problems
are the fractal properties of the infinite irrigation trees, and the
existence and regularity of river basins.

 Event: Minicourse on "Branched transport theory"; Speakers: Jean Michel Morel and Filippo Santambrogio (ENS Cachan) (2007)
