ERC conference on Optimal Transportation and Applications

نویسنده

  • Eric Carlen
چکیده

Explicit procedures are provided in the three cases above, the principal one being that the problem has an hidden structure of linear preorder with universally measurable graph. Yann Brenier (Nice). A modified least action principle allowing mass concentrations for the early universe reconstruction problem. Abstract. We discuss the reconstruction problem for the early universe, following Peebles and Frisch and coauthors. The model is given by the pressure-less gravitational Euler Poisson system, with time dependent coefficients taking into account general relativity features. (This amounts to considering Newtonian gravitation in an Einstein de Sitter background.) The standard least action principle is unable to take into account mass concentration effects. We show that a modification of the action is possible which allows dynamical concentrations. (detailed discussion available on HAL pre-print server.) Guy Bouchitté (Toulon). Smirnov decomposition of transport measures and applications. Abstract. Smirnov decomposition Theorem is concerned with one-dimensional normal currents. The aim of this talk is to show how this result can be fruitfully exploited in the framework of transport theory. In particular we will prove a lower semicontinuity for concave functionals on 1-dimensional transport measures occuring in models with economy

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تاریخ انتشار 2010