PDE Models for Multi-Agent Phenomena

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Cardaliaguet, Pierre (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Porretta, Alessio (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Salvarani, Francesco (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Springer INdAM Series, 28
• Θέματα: Partial differential equations.; Social sciences-Data processing.; Social sciences-Computer programs.; Mathematical models.; Partial Differential Equations.; Computational Social Sciences.; Mathematical Modeling and Industrial Mathematics.

This volume covers selected topics addressed and discussed during the workshop "PDE models for multi-agent phenomena," which was held in Rome, Italy, from November 28th to December 2nd, 2016. The content mainly focuses on kinetic equations and mean field games, which provide a solid framew...

Πίνακας περιεχομένων:

• 1 Martino Bardi and Marco Cirant, Uniqueness of solutions in Mean Field Games with several populations and Neumann conditions
• 2 Simone Cacace and Fabio Camilli, Finite difference methods for Mean Field Games systems
• 3 Piermarco Cannarsa and Rossana Capuani, Existence and uniqueness for Mean Field Games with state constraints
• 4 Adriano Festa, Diogo A. Gomes and Roberto M. Velho, An adjoint-based approach for a class of nonlinear Fokker-Planck equations and related systems
• 5 P. Jameson Graber and Charafeddine Mouzouni, Variational mean field games for market competition
• 6 Maria Gualdani and Nicola Zamponi, A review for an isotropic Landau model
• 7 Mikaela Iacobelli, A gradient flow perspective on the quantization problem
• 8 Edgard A. Pimentel and Makson S. Santos, Asymptotic methods in regularity theory for nonlinear elliptic equations: a survey
• 9 Elisabetta Carlini and Francisco J. Silva, A fully-discrete scheme for systems of nonlinear Fokker-Planck-Kolmogorov equations.