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Comparison principle for a Generalized Fast Marching Method

 Nicolas Forcadel
SIAM Journal on Numerical Analysis, 2009, 47 (3), pp. 1923-1951
Article dans une revue hal-00266075v1
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Derivation of a Macroscopic LWR Model from a Microscopic follow-the-leader Model by Homogenization

 Nicolas Forcadel , Mamdouh Zaydan
27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. pp.272-281, ⟨10.1007/978-3-319-55795-3_25⟩
Communication dans un congrès hal-01626910v1

Dislocations dynamics with a mean curvature term: short time existence and uniqueness

 Nicolas Forcadel
Differential and integral equations, 2008, 21 (3-4), pp.285-304
Article dans une revue hal-00976662v1
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Regularizing effect for unbounded flux-limited viscosity solutions of a discontinuous Hamilton-Jacobi equation on junction

 Nader El Khatib , Nicolas Forcadel , Mamdouh Zaydan
Advances in Differential Equations, 2024, 29 (7-8), pp.477-514
Article dans une revue hal-03721696v2
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Homogenization of second order discrete model with local perturbation and application to traffic flow

 Nicolas Forcadel , Wilfredo Salazar , Mamdouh Zaydan
Discrete and Continuous Dynamical Systems - Series A, 2017, 37 (3), pp.1437-1487. ⟨10.3934/dcds.2017060⟩
Article dans une revue hal-01311363v1
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Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models

 Mohammad Al Haj , Nicolas Forcadel , Régis Monneau
Archive for Rational Mechanics and Analysis, 2013, 210 (1), pp.45-99. ⟨10.1007/s00205-013-0641-9⟩
Article dans une revue istex hal-00721233v2
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Singular perturbation of optimal control problems on multi-domains

 Nicolas Forcadel , Zhiping Rao
SIAM Journal on Control and Optimization, 2014, 52 (5), pp.2917-2943. ⟨10.1137/130916709⟩
Article dans une revue hal-00812846v1
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Contribution à l'analyse d'équations aux dérivées partielles décrivant le mouvement de fronts avec applications à la dynamique des dislocations.

 Nicolas Forcadel
Mathématiques [math]. Ecole des Ponts ParisTech, 2007. Français. ⟨NNT : ⟩
Thèse tel-00170767v1
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Minimizing movements for dislocation dynamics with a mean curvature term

 Nicolas Forcadel , Aurélien Monteillet
ESAIM: Control, Optimisation and Calculus of Variations, 2009, 15 (1), pp 214-244
Article dans une revue hal-00149406v1
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A Generalized Fast Marching Method for dislocation dynamics

 Elisabetta Carlini , Nicolas Forcadel , Régis Monneau
SIAM Journal on Numerical Analysis, 2011, 49 (6), pp.2470-2500. ⟨10.1137/090770862⟩
Article dans une revue hal-00415902v2
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Homogenization of fully overdamped Frenkel-Kontorova models

 Nicolas Forcadel , Cyril Imbert , Régis Monneau
Journal of Differential Equations, 2009, 246, pp 1057--1097. ⟨10.1016/j.jde.2008.06.034⟩
Article dans une revue hal-00266994v2
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Stochastic homogenization of Hamilton-Jacobi equations on a junction

 Nicolas Forcadel , Fayad Rim , Ibrahim Hassan
Archive for Rational Mechanics and Analysis, 2022, 243, pp.1223-1267. ⟨10.1007/s00205-021-01737-1⟩
Article dans une revue hal-02559465v1
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Limits and consistency of non-local and graph approximations to the Eikonal equation

 Jalal M. Fadili , Nicolas Forcadel , Thi Tuyen Nguyen , Rita Zantout
IMA Journal of Numerical Analysis, 2023, 43 (6), pp.3685-3728. ⟨10.1093/imanum/drac082⟩
Article dans une revue hal-03218100v5
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A convergent scheme for a non-local coupled system modelling dislocations densities dynamics

 Ahmad El Hajj , Nicolas Forcadel
Mathematics of Computation, 2008, 77, pp.789--812
Article dans une revue hal-00415944v1
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Homogenization of a microscopic pedestrians model on a convergent junction

 Nader El Khatib , Nicolas Forcadel , Mamdouh Zaydan
Mathematical modeling of natural phenomena, 2022, pp.21. ⟨10.1051/mmnp/2022023⟩
Article dans une revue hal-03211700v4
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Steady state and long time convergence of spirals moving by forced mean curvature motion

 Nicolas Forcadel , Cyril Imbert , Régis Monneau
Communications in Partial Differential Equations, 2015, 40, pp.1137-1181
Article dans une revue hal-00975120v2
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Non-convex coercive Hamilton-Jacobi equations: Guerand's relaxation revisited

 Nicolas Forcadel , Cyril Imbert , Regis Monneau
2023
Pré-publication, Document de travail hal-04201310v1
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Reachability and minimal times for state constrained nonlinear problems without any controllability assumption

 Olivier Bokanowski , Nicolas Forcadel , Hasnaa Zidani
SIAM Journal on Control and Optimization, 2010, 48 (7), pp. 4292-4316
Article dans une revue hal-00395589v1
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L^1-error estimate for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1.

 Olivier Bokanowski , Nicolas Forcadel , Hasnaa Zidani
Mathematics of Computation, 2010, 79 (271), pp.1395--1426
Article dans une revue inria-00267644v1
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Dislocation dynamics : a non-local moving boundary

 Pierre Cardaliaguet , Francesca da Lio , Nicolas Forcadel , Régis Monneau
FBP, 2005, Coimbra, Portugal
Communication dans un congrès hal-03925992v1
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Homogenization of second order discrete model and application to traffic flow

 Nicolas Forcadel , Wilfredo Salazar , Mamdouh Zaydan
Differential and integral equations, 2015, 28 (11-12), pp.1039-1068. ⟨10.3934/dcds.2017060⟩
Article dans une revue hal-00966729v1
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Homogenization of accelerated Frenkel-Kontorova models with $n$ types of particles

 Nicolas Forcadel , Cyril Imbert , Régis Monneau
Transactions of the American Mathematical Society, 2012, 364, pp.6187-6227. ⟨10.1090/S0002-9947-2012-05650-9⟩
Article dans une revue hal-00387818v3
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Existence and uniqueness of traveling wave for accelerated Frenkel-Kontorova model

 Nicolas Forcadel , Amin Ghorbel , Sonda Walha
Journal of Dynamics and Differential Equations, 2014, 26 (4), pp.1133-1169
Article dans une revue hal-00945772v1
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A semi-Lagrangian scheme for Hamilton-Jacobi equations on networks

 Elisabetta Carlini , Adriano Festa , Nicolas Forcadel
SIAM Journal on Numerical Analysis, 2020, 58 (6), pp.3165-3196. ⟨10.1137/19M126093⟩
Article dans une revue hal-01775734v2
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Specified homogenization of a discrete traffic model leading to an effective junction condition

 Nicolas Forcadel , Wilfredo Salazar , Mamdouh Zaydan
Communications on Pure and Applied Analysis, 2018, 17 (5), pp.2173-2206. ⟨10.3934/cpaa.2018104⟩
Article dans une revue hal-01097085v3
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A non-local macroscopic model for traffic flow

 Ioana Ciotir , Rim Fayad , Nicolas Forcadel , Antoine Tonnoir
ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (2), pp.689-711. ⟨10.1051/m2an/2021006⟩
Article dans une revue hal-03188383v1
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Microscopic derivation of a traffic flow model with a bifurcation

 P Cardaliaguet , N Forcadel
Archive for Rational Mechanics and Analysis, 2024, 248 (6), ⟨10.1007/s00205-023-01948-8⟩
Article dans une revue hal-03427102v1
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Deterministic state constrained optimal control problems without controllability assumptions

 Olivier Bokanowski , Nicolas Forcadel , Hasnaa Zidani
ESAIM: Control, Optimisation and Calculus of Variations, 2011, 17 (4), pp. 995-1015. ⟨10.1051/cocv/2010030⟩
Article dans une revue hal-00415953v2
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Contribution à l'analyse d'équations aux dérivées partielles avec applications à la dynamique des dislocations et au contrôle optimal

 Nicolas Forcadel
Equations aux dérivées partielles [math.AP]. Université Paris Dauphine - Paris IX, 2011
HDR tel-03925981v1
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State-constrained Optimal Control Problems of Impulsive Differential Equations

 Nicolas Forcadel , Zhiping Rao , Hasnaa Zidani
Applied Mathematics and Optimization, 2013, 68, pp.1--19. ⟨10.1007/s00245-013-9193-5⟩
Article dans une revue hal-00653671v2
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