Filippo Santambrogio
- Euclidean, Metric, and Wasserstein Gradient Flows: an overview
2016/09/13 by Filippo Santambrogio, Santambrogio, Filippo · 17 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research
- Optimal transportation with traffic congestion and Wardrop equilibria
2006/12/22 by Guillaume Carlier, Carlier, G., Carlos Hugo Jiménez +3 · 3 citations
Engineering · Mathematics · Social Sciences · #47N10 #49J45 #90B20 #FOS: Mathematics #Optimization and Control (math.OC) #Point processes and geometric inequalities #Traffic control and management #Transportation Planning and Optimization
- Handling congestion in crowd motion modeling
2011/01/21 by Bertrand Maury, Aude Roudneff-Chupin, Maury, B. +5 · 3 citations
Computer Science · Engineering · Physics and Astronomy · #34G25 #35F31 #35R70 #49K24 #Complex Network Analysis Techniques #Data Visualization and Analytics #Evacuation and Crowd Dynamics #FOS: Mathematics #Numerical Analysis (math.NA)
- Introduction to Optimal Transport Theory
2010/09/20 by Filippo Santambrogio, Santambrogio, Filippo · 3 citations
Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities #Probability (math.PR)
- A Cucker-Smale inspired deterministic mean field game with velocity\n interactions
2020/09/16 by Filippo Santambrogio, Woojoo Shim, Santambrogio, Filippo +1 · 4 citations
Engineering · Social Sciences · Biochemistry, Genetics and Molecular Biology · #Evacuation and Crowd Dynamics #Transportation Planning and Optimization #Diffusion and Search Dynamics
- A sharp estimate a la calderon-zygmund for the p--laplacian
2016/07/22 by Lorenzo Brasco, Filippo Santambrogio, Brasco, Lorenzo +1 · 2 citations
Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Advanced Mathematical Physics Problems
- A Benamou-Brenier approach to branched transport
2010/04/20 by Lorenzo Brasco, Brasco, Lorenzo, Giuseppe Buttazzo +3 · 1 citation
Mathematics · Engineering · #Mathematics and Applications #Geometric Analysis and Curvature Flows #Fluid dynamics and aerodynamics studies
- Advection-diffusion equations with density constraints
2015/03/08 by Alpár R. Mészáros, Mészáros, Alpár Richárd, Filippo Santambrogio +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Evacuation and Crowd Dynamics #Mathematical Biology Tumor Growth #Opinion Dynamics and Social Influence
- Lipschitz estimates on the JKO scheme for the Fokker-Plack equation on bounded convex domains
2020/07/16 by Vincent Ferrari, Ferrari, Vincent, Filippo Santambrogio +1 · 1 citation
Computer Science · Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Optimization and Control (math.OC) #Stochastic processes and financial applications
- q-Moment Measures and Applications: A New Approach via Optimal Transport
2020/08/21 by H. V. Khanh, Filippo Santambrogio, Khanh, Huynh +1 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Point processes and geometric inequalities
- New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations
2023/08/02 by Noemi David, David, Noemi, Filippo Santambrogio +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
- Fisher information and continuity estimates for nonlinear but 1-homogeneous diffusive PDEs (via the JKO scheme)
2024/07/04 by Thibault Caillet, Caillet, Thibault, Filippo Santambrogio +1 · 1 citation
Economics, Econometrics and Finance · #Analysis of PDEs (math.AP) #FOS: Mathematics #Stochastic processes and financial applications