TY - GEN
T1 - Conservation Laws Arising in the Study of Forward–Forward Mean-Field Games
AU - Gomes, Diogo A.
AU - Nurbekyan, Levon
AU - Sedjro, Marc
N1 - KAUST Repository Item: Exported on 2023-09-30
Acknowledged KAUST grant number(s): KAUSTOSR-CRG2017-3452
Acknowledgements: D. A. Gomes was partially supported by KAUST baseline funds and KAUSTOSR-CRG2017-3452. L. Nurbekyan and M. Sedjro were supported by KAUST baseline and start-up funds.
PY - 2018/6/23
Y1 - 2018/6/23
N2 - We consider forward–forward Mean-Field Game (MFG) models that arise in numerical approximations of stationary MFGs. First, we establish a link between these models and a class of hyperbolic conservation laws as well as certain nonlinear wave equations. Second, we investigate existence and long-time behavior of solutions for such models.
AB - We consider forward–forward Mean-Field Game (MFG) models that arise in numerical approximations of stationary MFGs. First, we establish a link between these models and a class of hyperbolic conservation laws as well as certain nonlinear wave equations. Second, we investigate existence and long-time behavior of solutions for such models.
UR - http://hdl.handle.net/10754/630423
UR - https://link.springer.com/chapter/10.1007%2F978-3-319-91545-6_49
UR - http://www.scopus.com/inward/record.url?scp=85049373145&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-91545-6_49
DO - 10.1007/978-3-319-91545-6_49
M3 - Conference contribution
AN - SCOPUS:85049373145
SN - 9783319915449
SP - 643
EP - 649
BT - Theory, Numerics and Applications of Hyperbolic Problems I
PB - Springer International Publishing
ER -