Here, we study a one-dimensional, non-local mean-field game model with congestion. When the kernel in the non-local coupling is a trigonometric polynomial we reduce the problem to a finite dimensional system. Furthermore, we treat the general case by approximating the kernel with trigonometric poly-nomials. Our technique is based on Fourier expansion methods.
|Original language||English (US)|
|Number of pages||28|
|Journal||Discrete and Continuous Dynamical Systems - Series S|
|State||Published - Oct 2018|
Bibliographical noteFunding Information:
The author is supported by KAUST baseline and start-up funds and KAUST SRI, Uncertainty Quantification Center in Computational Science and Engineering.
© 2018 American Institute of Mathematical Sciences. All rights reserved.
- Fourier expansions
- Non-local mean-field games
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics