Necessary optimality conditions for geodesics in weighted Wasserstein spaces
From MaRDI portal
Publication:931285
DOI10.4171/RLM/479zbMath1223.35197arXivmath/0603435OpenAlexW2038865565MaRDI QIDQ931285
Filippo Santambrogio, Luigi Ambrosio
Publication date: 25 June 2008
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603435
Nonlinear parabolic equations (35K55) Nonlinear evolution equations (47J35) Optimality conditions (49K99)
Related Items
Euler-Poisson systems as action-minimizing paths in the Wasserstein space ⋮ Optimal density evolution with congestion: L∞ bounds via flow interchange techniques and applications to variational Mean Field Games ⋮ A new class of transport distances between measures ⋮ Curves of minimal action over metric spaces
Cites Work
- Unnamed Item
- The dual least action problem for an ideal, incompressible fluid
- The reconstruction problem for the Euler-Poisson system in cosmology
- Path functionals over Wasserstein spaces
- A homogenized model for vortex sheets
- First order asymptotics of matrix integrals; a rigorous approach towards the understanding of matrix models
- A variational model of irrigation patterns
- The Least Action Principle and the Related Concept of Generalized Flows for Incompressible Perfect Fluids
- Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations
- OPTIMAL PATHS RELATED TO TRANSPORT PROBLEMS