English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In view of studying incompressible inviscid fluids, Brenier introduced in thelate 80's a relaxation of a geodesic problem addressed by Arnold in 1966.Instead of inviscid fluids, the present paper is devoted to incompressibleviscid fluids. A natural analogue of Brenier's problem is introduced, wheregeneralized flows are no more supported by absolutely continuous paths, but byBrownian sample paths. It turns out that this new variational problem is anentropy minimization problem with marginal constraints entering the class ofconvex minimization problems. This paper explores the connection between thisvariational problem and Brenier's original problem. Its dual problem is derivedand the general shape of its solution is described. Under the restrictiveassumption that the pressure is a nice function, the kinematics of its solutionis made explicit and its connection with the Navier-Stokes equation isestablished.

An entropic interpolation problem for incompressible viscid fluids