Lecture notes on variational models for incompressible Euler equations

Luigi Ambrosio (1) , Alessio Figalli (2)

1 SNS - SNS Pisa
2 Mathematics Department [San Marcos TX]

These notes briefly summarize the lectures for the Summer School "Optimal transportation: Theory and applications" held by the second author in Grenoble during the week of June 22-26, 2009. Their goal is to describe some recent results on Brenier's variational models for incompressible Euler equation.

Mots clés: Euler equations; Optimal transportation; Measure-preserving maps

Domaines: Analyse classique [math.CA]; Probabilités [math.PR]; Géométrie différentielle [math.DG]; Equations aux dérivées partielles [math.AP]

Luigi Ambrosio, Alessio Figalli. Lecture notes on variational models for incompressible Euler equations. 2009. ⟨hal-00518481⟩