The polar cone of the set of monotone maps

DOI10.1090/S0002-9939-2014-12332-XzbMath1308.49041arXiv1305.2692OpenAlexW2127049360MaRDI QIDQ5496318

Fabio Cavalletti, Michael Westdickenberg

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2692

zbMATH Keywords

optimal transportmonotone mapspolar conepressureless Euler equation

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Euler equations (35Q31)

Related Items (4)

Variational methods for evolution. Abstracts from the workshop held December 14--20, 2014. ⋮ Euler-Lagrange equation for a minimization problem over monotone transport maps ⋮ A variational time discretization for compressible Euler equations ⋮ Matrix Hölder's Inequality and Divergence Formulation of Optimal Transport of Vector Measures

Cites Work

• A geometrical approach to monotone functions in \(\mathbb{R}^n\)
• Partially ordered locally convex vector spaces and extensions of positive continuous linear mappings
• PROJECTIONS ONTO THE CONE OF OPTIMAL TRANSPORT MAPS AND COMPRESSIBLE FLUID FLOWS
• MICHELL TRUSSES AND LINES OF PRINCIPAL ACTION
• A Wasserstein Approach to the One-Dimensional Sticky Particle System
• Identification du cône dual des fonctions convexes et applications
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