On the regularity of the pressure field of Brenier’s weak solutions to incompressible Euler equations View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2008-04

AUTHORS

Luigi Ambrosio, Alessio Figalli

ABSTRACT

In this paper we improve the regularity in time of the gradient of the pressure field arising in Brenier’s variational weak solutions (Comm Pure Appl Math 52:411–452, 1999) to incompressible Euler equations. This improvement is necessary to obtain that the pressure field is not only a measure, but a function in . In turn, this is a fundamental ingredient in the analysis made by Ambrosio and Figalli (2007, preprint) of the necessary and sufficient optimality conditions for the variational problem by Brenier (J Am Mat Soc 2:225–255, 1989; Comm Pure Appl Math 52:411–452, 1999). More... »

PAGES

497-509

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00526-007-0123-8

DOI

http://dx.doi.org/10.1007/s00526-007-0123-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1013331853


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