Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Marc Sedjro"'
Autor:
Marc Sedjro
Publikováno v:
Symmetry, Vol 7, Iss 4, Pp 2009-2024 (2015)
We consider a class of Monge–Ampere equations where the convex conjugate of the unknown function is prescribed on a boundary of its domain yet to be determined. We show the existence of a weak solution.
Externí odkaz:
https://doaj.org/article/922967b260364432bddcb2454b5fc2c7
Autor:
Marc Sedjro
Publikováno v:
Mathematica Applicanda. 50
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::054ecd4d7b612b8a7e7a9673224d27da
https://doi.org/10.14708/ma.v50i1.7136
https://doi.org/10.14708/ma.v50i1.7136
Autor:
Romeo Awi, Marc Sedjro
Publikováno v:
Acta Applicandae Mathematicae. 168:137-167
We prove existence and uniqueness of minimizers for a family of energy functionals that arises in Elasticity and involves polyconvex integrands over a certain subset of displacement maps. This work extends previous results by Awi and Gangbo to a larg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::500470b24d2b8263a3e345fcdd24035d
https://doi.org/10.1007/s10440-019-00282-0
https://doi.org/10.1007/s10440-019-00282-0
Autor:
Marc Sedjro
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 28:60
In this paper, we consider a class of Monge-Ampère equations in a free boundary domain of ℝ2 where the value of the unknown function is prescribed on the free boundary. From a variational point of view, these equations describe an optimal transpor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b1f79315aae73616c1e5861a31595ad
https://doi.org/10.1051/cocv/2022048
https://doi.org/10.1051/cocv/2022048
Autor:
Marc Sedjro, Diogo A. Gomes
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 11:901-914
Here, we consider one-dimensional forward-forward mean-field games (MFGs) with congestion, which were introduced to approximate stationary MFGs. We use methods from the theory of conservation laws to examine the qualitative properties of these games.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::328e6a9c804d46693329c27c0b731b58
https://doi.org/10.3934/dcdss.2018054
https://doi.org/10.3934/dcdss.2018054
We introduce a variational time discretization for the multidimensional gas dynamics equations, in the spirit of minimizing movements for curves of maximal slope. Each time step requires the minimization of a functional measuring the acceleration of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7a79ea9f8d7c8e4af86bdebeb628943
http://hdl.handle.net/20.500.11767/95499
http://hdl.handle.net/20.500.11767/95499
Publikováno v:
Applied Mathematics & Optimization. 74:619-642
While the general theory for the terminal-initial value problem for mean-field games (MFGs) has achieved a substantial progress, the corresponding forward–forward problem is still poorly understood—even in the one-dimensional setting. Here, we co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31edd798689fa315a147f0cfc2541277
https://doi.org/10.1007/s00245-016-9384-y
https://doi.org/10.1007/s00245-016-9384-y
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319915449
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 equati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ebd6e0dfe633c8a8a9728bec696bd74
https://doi.org/10.1007/978-3-319-91545-6_49
https://doi.org/10.1007/978-3-319-91545-6_49
Sticky particle solutions to the one-dimensional pressureless gas dynamics equations can be constructed by a suitable metric projection onto the cone of monotone maps, as was shown in recent work by Natile and Savar\'{e}. Their proof uses a discrete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::69d793c9379803d9a9b2436c44ade9ec
http://arxiv.org/abs/1311.3108
http://arxiv.org/abs/1311.3108
Autor:
Mike Cullen, Marc Sedjro
In this work, we consider a model of forced axisymmetric flows which is derived from the inviscid Boussinesq equations. What makes these equations unusual is the boundary conditions they are expected to satisfy and the fact that the boundary is part
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f73da99a7e5460c08156b8d484d6df1