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52 documents

Journal articles45 document

  • Nicolas Forcadel, Regis Monneau. Beyond uniqueness: Relaxation calculus of junction conditions for coercive Hamilton-Jacobi equations. Journal of Differential Equations, 2026, 456. ⟨hal-04930137⟩
  • Nicolas Forcadel, Cyril Imbert, Regis Monneau. The twin blow-up method for Hamilton-Jacobi equations in higher dimension. ESAIM: Control, Optimisation and Calculus of Variations, 2025, 31, Paper N. 12. ⟨10.1051/cocv/2024090⟩. ⟨hal-04388950⟩
  • Nicolas Forcadel, Cyril Imbert, Regis Monneau. Non-convex coercive Hamilton-Jacobi equations: Guerand's relaxation revisited. Pure and Applied Analysis, 2024, 6 (4), pp.1055-1089. ⟨10.2140/paa.2024.6.1055⟩. ⟨hal-04201310⟩
  • Nader El Khatib, Nicolas Forcadel, Mamdouh Zaydan. Regularizing effect for unbounded flux-limited viscosity solutions of a discontinuous Hamilton-Jacobi equation on junction. Advances in Differential Equations, 2024, 29 (7-8), pp.477-514. ⟨10.57262/ade029-0708-477⟩. ⟨hal-03721696v2⟩
  • P Cardaliaguet, N Forcadel. Microscopic derivation of a traffic flow model with a bifurcation. Archive for Rational Mechanics and Analysis, 2024, 248 (6), ⟨10.1007/s00205-023-01948-8⟩. ⟨hal-03427102⟩
  • Pierre Cardaliaguet, Nicolas Forcadel, Regis Monneau. A class of germs arising from homogenization in traffic flow on junctions. Journal of Hyperbolic Differential Equations, 2024, 21 (2), pp.189-254. ⟨10.1142/S0219891624500073⟩. ⟨hal-04289965⟩
  • Pierre Cardaliaguet, Nicolas Forcadel, Theo Girard, Regis Monneau. Conservation laws and Hamilton-Jacobi equations on a junction: the convex case. Discrete and Continuous Dynamical Systems - Series S, 2024, 44 (12), pp.3920-3961. ⟨10.3934/dcds.2024082⟩. ⟨hal-04279829⟩
  • Nicolas Forcadel, Cyril Imbert, Regis Monneau. Coercive Hamilton-Jacobi equations in domains: the twin blow-ups method. Comptes Rendus. Mathématique, 2024, 362, pp.829-839. ⟨10.5802/crmath.591⟩. ⟨hal-04247597⟩
  • Jalal M. Fadili, Nicolas Forcadel, Thi Tuyen Nguyen, Rita Zantout. Limits and consistency of non-local and graph approximations to the Eikonal equation. IMA Journal of Numerical Analysis, 2023, 43 (6), pp.3685-3728. ⟨10.1093/imanum/drac082⟩. ⟨hal-03218100v5⟩
  • Nader El Khatib, Nicolas Forcadel, Mamdouh Zaydan. Semidiscrete shocks for the full velocity difference model. Applied Mathematics and Optimization, 2023, 88 (2), pp.56. ⟨10.1007/s00245-023-10029-x⟩. ⟨hal-03381518v3⟩
  • Nader El Khatib, Nicolas Forcadel, Mamdouh Zaydan. Homogenization of a microscopic pedestrians model on a convergent junction. Mathematical modeling of natural phenomena, 2022, pp.21. ⟨10.1051/mmnp/2022023⟩. ⟨hal-03211700v4⟩
  • Nicolas Forcadel, Fayad Rim, Ibrahim Hassan. Stochastic homogenization of Hamilton-Jacobi equations on a junction. Archive for Rational Mechanics and Analysis, 2022, 243, pp.1223-1267. ⟨10.1007/s00205-021-01737-1⟩. ⟨hal-02559465⟩
  • Ioana Ciotir, Rim Fayad, Nicolas Forcadel, Antoine Tonnoir. A non-local macroscopic model for traffic flow. ESAIM: Mathematical Modelling and Numerical Analysis, 2021, 55 (2), pp.689-711. ⟨10.1051/m2an/2021006⟩. ⟨hal-03188383v2⟩
  • Pierre Cardaliaguet, Nicolas Forcadel. From heterogeneous microscopic traffic flow models to macroscopic models. SIAM Journal on Mathematical Analysis, 2021, 53(1) (1), pp.309-322. ⟨10.1137/20M1314410⟩. ⟨hal-02172100⟩
  • Ioana Ciotir, Nicolas Forcadel, Wilfredo Salazar. Homogenization of a stochastic viscous transport equation. Evolution Equations and Control Theory, 2021, 10 (2), pp.353-364. ⟨10.3934/eect.2020070⟩. ⟨hal-02891812⟩
  • N Forcadel, Wilfredo Salazar. Homogenization of a discrete model for a bifurcation and application to traffic flow. Journal de Mathématiques Pures et Appliquées, 2020, 136, pp.356-414. ⟨10.1016/j.matpur.2019.12.004⟩. ⟨hal-01332787v2⟩
  • Elisabetta Carlini, Adriano Festa, Nicolas Forcadel. A semi-Lagrangian scheme for Hamilton-Jacobi equations on networks. SIAM Journal on Numerical Analysis, 2020, 58 (6), pp.3165-3196. ⟨10.1137/19M126093⟩. ⟨hal-01775734v2⟩
  • Nicolas Forcadel, Mamdouh Zaydan. A comparison principle for Hamilton-Jacobi equation with moving in time boundary. Evolution Equations and Control Theory, 2019, 8 (3), pp.543-565. ⟨10.3934/eect.2019026⟩. ⟨hal-03925962⟩
  • Nicolas Forcadel, Wilfredo Salazar, Mamdouh Zaydan. Specified homogenization of a discrete traffic model leading to an effective junction condition. Communications on Pure and Applied Analysis, 2018, 17 (5), pp.2173-2206. ⟨10.3934/cpaa.2018104⟩. ⟨hal-01097085v3⟩
  • Nicolas Forcadel, Wilfredo Salazar, Mamdouh Zaydan. Homogenization of second order discrete model with local perturbation and application to traffic flow. Discrete and Continuous Dynamical Systems - Series A, 2017, 37 (3), pp.1437-1487. ⟨10.3934/dcds.2017060⟩. ⟨hal-01311363⟩
  • Nicolas Forcadel, Cyril Imbert, Régis Monneau. Steady state and long time convergence of spirals moving by forced mean curvature motion. Communications in Partial Differential Equations, 2015, 40, pp.1137-1181. ⟨hal-00975120v2⟩
  • Nicolas Forcadel, Wilfredo Salazar, Mamdouh Zaydan. Homogenization of second order discrete model and application to traffic flow. Differential and integral equations, 2015, 28 (11-12), pp.1039-1068. ⟨10.3934/dcds.2017060⟩. ⟨hal-00966729⟩
  • Nicolas Forcadel, Zhiping Rao. Singular perturbation of optimal control problems on multi-domains. SIAM Journal on Control and Optimization, 2014, 52 (5), pp.2917-2943. ⟨10.1137/130916709⟩. ⟨hal-00812846⟩
  • Nicolas Forcadel, Amin Ghorbel, Sonda Walha. Existence and uniqueness of traveling wave for accelerated Frenkel-Kontorova model. Journal of Dynamics and Differential Equations, 2014, 26 (4), pp.1133-1169. ⟨hal-00945772⟩
  • Mohammad Al Haj, Nicolas Forcadel, Régis Monneau. Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models. Archive for Rational Mechanics and Analysis, 2013, 210 (1), pp.45-99. ⟨10.1007/s00205-013-0641-9⟩. ⟨hal-00721233v2⟩
  • Nicolas Forcadel, Zhiping Rao, Hasnaa Zidani. State-constrained Optimal Control Problems of Impulsive Differential Equations. Applied Mathematics and Optimization, 2013, 68, pp.1--19. ⟨10.1007/s00245-013-9193-5⟩. ⟨hal-00653671v2⟩
  • Nicolas Forcadel, Cyril Imbert, Régis Monneau. Uniqueness and existence of spirals moving by forced mean curvature motion. Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2012, 14 (3), pp.365-400. ⟨10.4171/IFB/285⟩. ⟨hal-00452241v3⟩
  • Nicolas Forcadel, Cyril Imbert, Régis Monneau. Homogenization of accelerated Frenkel-Kontorova models with $n$ types of particles. Transactions of the American Mathematical Society, 2012, 364, pp.6187-6227. ⟨10.1090/S0002-9947-2012-05650-9⟩. ⟨hal-00387818v3⟩
  • Nicolas Forcadel, Carole Le Guyader. A short time existence/uniqueness result for a nonlocal topology-preserving segmentation model. Journal of Differential Equations, 2012, 253, pp. 977-995. ⟨hal-00543911⟩
  • Olivier Bokanowski, Nicolas Forcadel, Hasnaa Zidani. Deterministic state constrained optimal control problems without controllability assumptions. ESAIM: Control, Optimisation and Calculus of Variations, 2011, 17 (4), pp. 995-1015. ⟨10.1051/cocv/2010030⟩. ⟨hal-00415953v2⟩
  • Elisabetta Carlini, Nicolas Forcadel, Régis Monneau. A Generalized Fast Marching Method for dislocation dynamics. SIAM Journal on Numerical Analysis, 2011, 49 (6), pp.2470-2500. ⟨10.1137/090770862⟩. ⟨hal-00415902v2⟩
  • Olivier Bokanowski, Nicolas Forcadel, Hasnaa Zidani. L^1-error estimate for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1.. Mathematics of Computation, 2010, 79 (271), pp.1395--1426. ⟨inria-00267644⟩
  • Olivier Bokanowski, Nicolas Forcadel, Hasnaa Zidani. Reachability and minimal times for state constrained nonlinear problems without any controllability assumption. SIAM Journal on Control and Optimization, 2010, 48 (7), pp. 4292-4316. ⟨hal-00395589⟩
  • Nicolas Forcadel. Comparison principle for a Generalized Fast Marching Method. SIAM Journal on Numerical Analysis, 2009, 47 (3), pp. 1923-1951. ⟨hal-00266075⟩
  • Nicolas Forcadel, Cyril Imbert, Régis Monneau. Homogenization of some particle systems with two-body interactions and of the dislocation dynamics. Discrete and Continuous Dynamical Systems - Series A, 2009, 23 (3), pp 785--826. ⟨hal-00140545v3⟩
  • Nicolas Forcadel, Régis Monneau. Existence of solutions for a model describing the dynamics of junctions between dislocations. SIAM Journal on Mathematical Analysis, 2009, 40 (6), pp. 2517-2535. ⟨10.1137/070710925⟩. ⟨hal-00197576⟩
  • Nicolas Forcadel, Aurélien Monteillet. Minimizing movements for dislocation dynamics with a mean curvature term. ESAIM: Control, Optimisation and Calculus of Variations, 2009, 15 (1), pp 214-244. ⟨hal-00149406⟩
  • Nicolas Forcadel, Cyril Imbert, Régis Monneau. Homogenization of fully overdamped Frenkel-Kontorova models. Journal of Differential Equations, 2009, 246, pp 1057--1097. ⟨10.1016/j.jde.2008.06.034⟩. ⟨hal-00266994v2⟩
  • Ahmad El Hajj, Nicolas Forcadel. A convergent scheme for a non-local coupled system modelling dislocations densities dynamics. Mathematics of Computation, 2008, 77, pp.789--812. ⟨hal-00415944⟩
  • Nicolas Forcadel, Carole Le Guyader, Christian Gout. Generalized Fast Marching Method: Applications to Image Segmentation. Numerical Algorithms, 2008, 48 (1-3), pp.189-211. ⟨10.1007/s11075-008-9183-x⟩. ⟨hal-00372740⟩
  • Francesca da Lio, Nicolas Forcadel, Régis Monneau. Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics.. Journal of the European Mathematical Society, 2008, 10 (4), pp.1105--1119. ⟨hal-00415939⟩
  • Elisabetta Carlini, Maurizio Falcone, Nicolas Forcadel, Régis Monneau. Convergence of a Generalized Fast Marching Method for a non-convex eikonal equation. SIAM Journal on Numerical Analysis, 2008, 46 (6), pp. 2920-2952. ⟨hal-00109596⟩
  • Nicolas Forcadel. Dislocations dynamics with a mean curvature term: short time existence and uniqueness. Differential and integral equations, 2008, 21 (3-4), pp.285-304. ⟨hal-00976662⟩
  • Nicolas Forcadel. Dislocation dynamics with a mean curvature term: short time existence and uniqueness. Differential and integral equations, 2008, 21 (3-4), pp.285--304. ⟨hal-00415911⟩
  • Nicolas Forcadel. An error estimate for a new scheme for mean curvature motion. SIAM Journal on Numerical Analysis, 2008, 46 (5), pp. 2715-2741. ⟨hal-00121795⟩

Conference papers3 document

  • Nicolas Forcadel, Mamdouh Zaydan. Derivation of a Macroscopic LWR Model from a Microscopic follow-the-leader Model by Homogenization. 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⟩. ⟨hal-01626910⟩
  • Nicolas Forcadel, Zhiping Rao, Hasnaa Zidani. Optimal control problems of BV trajectories with pointwise state constraints. 18th IFAC World Congress, Aug 2011, Milan, Italy. ⟨10.3182/20110828-6-IT-1002.01694⟩. ⟨inria-00639021⟩
  • Pierre Cardaliaguet, Francesca da Lio, Nicolas Forcadel, Régis Monneau. Dislocation dynamics : a non-local moving boundary. FBP, 2005, Coimbra, Portugal. ⟨hal-03925992⟩

Preprints, Working Papers2 document

  • Nicolas Forcadel, Cyril Imbert, Regis Monneau. Germs for scalar conservation laws: the Hamilton-Jacobi equation point of view. 2024. ⟨hal-04635094⟩
  • Jalal M. Fadili, Nicolas Forcadel, Rita Zantout. Limits of non-local approximations to the eikonal equation on manifolds. 2024. ⟨hal-04702187⟩

Theses1 document

  • Nicolas Forcadel. Contribution à l'analyse d'équations aux dérivées partielles
    décrivant le mouvement de fronts avec applications
    à la dynamique des dislocations.. Mathématiques [math]. Ecole des Ponts ParisTech, 2007. Français. ⟨NNT : ⟩. ⟨tel-00170767⟩

HDR thesis1 document

  • Nicolas Forcadel. Contribution à l'analyse d'équations aux dérivées partielles avec applications à la dynamique des dislocations et au contrôle optimal. Equations aux dérivées partielles [math.AP]. Université Paris Dauphine - Paris IX, 2011. ⟨tel-03925981⟩

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Ut enim benefici liberalesque sumus, non ut exigamus gratiam (neque enim beneficium faeneramur sed natura propensi ad liberalitatem sumus), sic amicitiam non spe mercedis adducti sed quod omnis eius fructus in ipso amore inest, expetendam putamus.

Haec ubi latius fama vulgasset missaeque relationes adsiduae Gallum Caesarem permovissent, quoniam magister equitum longius ea tempestate distinebatur, iussus comes orientis Nebridius contractis undique militaribus copiis ad eximendam periculo civitatem amplam et oportunam studio properabat ingenti, quo cognito abscessere latrones nulla re amplius memorabili gesta, dispersique ut solent avia montium petiere celsorum.

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