My Collaborators (in anti-alphabetic order):
Samir Salem,
Anne Nouri,
Claudia Negulescu,
Stéphane Mischler,
Claude Le Bris,
Pierre-Emmanuel Jabin,
Daniel Han-Kwan,
Christophe Gomez,
Nicolas Fournier,
Young-Pil Choi,
José Carrillo,
Charles-Édouard Brehier,
Julien Barré,
Riccardo Adami.
Former PhD student :
Samir Salem
Publications are listed by anti-chronological order.
Some (up to 2014) are also sorted by thematic on that
page.
Preprints
- C. Gomez, M. Hauray, Rigorous derivation of Lindblad equations from
quantum jumps processes in 1D , 25p, (arXiv)
- M. Hauray, S. Salem, Propagation of chaos for the Vlasov-Poisson-Fokker-
Planck system in 1D , 30p., to appear in Kin. Rel. Mod.
(arXiv)
- J. Carrillo, J.P. Choi, M. Hauray, S. Salem, Mean-field limit for collective
behaviour models with sharp sensitivity regions , 40p., to appear in Journ. Eur. Math. Soc. , (arXiv).
Articles
-
Uniform Contractivity in Wasserstein Metric for the Original 1D Kac’s Model,,
, Journ. of Stat. Phys. 2016, 162 (6), pp.1566–1570.
(DOI,
arXiv)
-
Propagation of chaos for the Landau equation with moderately soft potentials,
with Nicolas Fournier, Ann. Probab. Vol. 44, Number 6 (2016), 3581–3660.
(DOI,
arXiv)
-
Stability issues in the quasineutral limit of the one-dimensional Vlasov-Poisson equation, with Daniel Han-Kwan, Comm. Math. Phy. 334 (2015), 1101–1152.
(DOI,
HAL,
arXiv)
-
Decoherence for a heavy particle interacting with a light one: new analysis and numerics,
with Riccardo Adami and Claudia Negulescu, in Comm. Math. Sci. 14 (2016), no. 5, 1373–1415.
(DOI
HAL,
arXiv)
-
Propagation of chaos for particles approximations of Vlasov equations with singular forces,
with Pierre-Emmanuel Jabin, Ann. Sci. éc. Norm. Supér. 48 (2015), 891–940.,
( Site journal,
HAL,
arXiv)
-
Propagation of chaos for the 2D viscous Vortex Model,
with Nicolas Fournier and Stéphane Mischler, in
J. Eur. Math. Soc.
, Volume 16, Issue 7, 2014, pp. 1423–1466.
(DOI,
HAL,
arXiv)
-
On Kac's chaos and related problems,
with Stéphane Mischler,
in J. Funct. Anal., Volume 266, Issue 10, (2014), Pages 6055–6157.
(DOI,
HAL,
arXiv)
-
Well-posedness of a diffusive gyro-kinetic model.
with Anne Nouri, in Ann IHP (C) Non Linear Analysis Vol. 28, 2011, p. 529-550
(DOI,
HAL,
arXiv).
-
Stability of trajectories for N-particles dynamics with singular
potential,
with Julien Barré and Pierre-Emmanuel Jabin, in a topical
issue on Long-Range Interacting Systems of J. Stat. Mech. (2010) (DOI, HAL,
arXiv).
-
A new proof of the uniqueness of the flow for ordinary differential equations with BV vector fields,
with Claude Le Bris, in AMPA Volume 190, Issue 1 (2011), Page 91. (DOI,
HAL,
arXiv)
-
Derivation of a gyrokinetic model. Existence and uniqueness of specific stationary solutions, with Anne Nouri and Philippe Ghendrih, in Kinet. Relat. Models 2 (2009), no. 4, 707--725. ( DOI,
arXiv)
- Wasserstein distances for vortices approximation of Euler-type equation,
in Math. Models Methods Appl. Sci. 19 (2009), no. 8, 1357--1384. (DOI,
HAL)
- Deux remarques sur les flots géneralisés d'équations différentielles ordinaires,
with C. Le Bris et Pierre-Louis Lions, in Comptes rendus mathématiques 344, 2007, no. 12, 759-764. (DOI,
HAL)
- N particles approximation of the
Vlasov equations with singular potential, with Pierre-Emmanuel Jabin, in Arch. Rach. Mech. Analysis 183 (2007), no. 3, 489--524. (DOI,
HAL,
arXiv)
- On Liouville
transport equation with a force field in BVloc,
in Comm. Partial Differential Equations 29 (2004), no. 1-2, 207--217.
(DOI,
arXiv,
HAL)
- On
Two-dimensional Hamiltonian Transport Equations with Lp
loc coefficients,
in
Ann. Inst. H. Poincaré Anal. Non Linéaire
20 (2003),
no. 4, 625--644. (DOI,
arXiv,
HAL)
Proceedings and seminars
-
Local well-posedness of the generalized Cucker-Smale model with singular kernels,
with Jose Antonio Carrillo and Young-Pil Choi,
in ESAIM : Proceedings & Surveys 47 (2014), 17–35.
(DOI,
arXiv)
Local well-posedness of the generalized Cucker-Smale
model with singular kernels,
-
The derivation of Swarming models: Mean-Field Limit and Wasserstein distances,
with Jose Antonio Carrillo and Young-Pil Choi,
in a CISM Volume 553, 2014, pp 1-46 (Springer)
(DOI,
HAL,
arXiv)
-
Mean field limit for the one dimensional Vlasov-Poisson equation,
in Séminaire Laurent Schwartz (2012-2013).
(Séminaire's website,
HAL,
Arxiv)