Activités de Recherche / Research Activities
- Thèmes de recherche
- Equations aux dérivées partielles
(cinétiques, paraboliques,
intégro-différentielles, ...)
- Analyse spectrale et
semi-groupes (hypocoercivité,
théorèmes
d'extension, de Krein-Rutman,
de Weyl, de perturbation, ...)
- Physique
statistique hors équilibre (Boltzmann
classique, quantique, collisions inélastiques, posée
dans un domaine, Landau, coagulation-fragmentation,
Vlasov-Poisson)
- Modèles mathématiques de la
biologie (populations structurées,
croissance-fragmentation, selection-mutation,
chemotaxie, neurosciences)
-
Intéraction analyse-probabilités et limite de champ moyen
- Asymptotique en temps grand (méthodes
entropiques, méthodes semi-groupes)
- Articles et notes originales dans des revues
avec
comités de lecture
[1] S. Mischler, Uniqueness
for the
B.G.K.-equation in R^N and rate of convergence for a
semi-discrete scheme, Differential and Integral
Equations 9 No 5
(1996), 1119-1138
[2] L. Desvillettes et S. Mischler, About
the splitting algorithm for Boltzmann and B.G.K. equations,
Mathematical Models and Methods in Applid Sciences 6 No. 8
(1996),
1079-1101
[3] S. Mischler, Convergence
of
discrete velocities schemes for the Boltzmann equation,
Archive
for Rational Mechanics and Analysis 140
(1997), 53-77
[4] S. Mischler, B. Perthame, Boltzmann
equation
with infinite energy: Renormalized solutions and
distributional solutions for small initial data and initial
data close
to a Maxwellian, SIAM Journal of Mathematical
Analysis 28 No 5
(1997), 1015-1027
[5] S. Mischler, B. Wennberg, On
the
Spatially Homogeneous Boltzmann equation, Annales
de
l'Institut Henri Poincaré - AN 16
No 4 (1999), 467-501
Récompensé
par
le
prix Institut Henri Poincaré / Gauthier-Villars
[6] S. Mischler, On the trace
problem
for solutions
of the Vlasov equation, Comm. Partial Differential
Equations 25 No 7-8
(2000), 1415-1443 (version
préprint
en .pdf)
[7] S. Mischler, On the
initial
boundary value problem for
the Vlasov-Poisson-Boltzmann
system, Comm. Math. Phys. 210
No 2 (2000), 447-466 (version
preprint
en .pdf)
[9] M. Escobedo, S. Mischler, On
a
Quantum Boltzmann equation
for a gas of photons, J. Math. Pures Appl. 80 No 5 (2001), 471-515 (version
preprint
en .pdf)
[11] Ph. Laurençot, S. Mischler, Global existence for the discrete diffuse
coagulation-fragmentation equations in L^1, Rev. Mat.
Iberoamericana 18
(2002),
221-235 (version
preprinten
.pdf)
[12] Ph. Laurençot, S. Mischler, The continuous
coagulation-fragmentation equations with diffusion,
Arch.
Rational Mech. Anal. 162
No 1
(2002), 45-99 (version
preprint
en .pdf)
[13] M. Escobedo, S. Mischler, J.J.L. Velazquez, Asymptotic description of Dirac
mass
formation in kinetic equations for quantum particles,
J.
Differential Equations
202 No
2 (2004) 208-230 (version
preprint
en .pdf)
[14] Ph. Laurençot, S. Mischler, From the discrete to the continuous
coagulation-fragmentation equations, Proc. Roy. Soc.
Edinburgh 132A (2002),
1219-1248 (version
preprint
en .pdf)
[15] M. Escobedo, S. Mischler, B. Perthame, Gelation in coagulation and
fragmentation
models, Comm. Math. Phys. 231
1, (2002), 157-188 (version
preprint
en .pdf)
[16] Ph. Laurençot, S. Mischler, The Lifshitz-Slyozov-Wagner asymptotic of
th Becker-Döring equation, J. Statist. Phys. 106 No. 5-6 (2002), 957-991
(version
preprint
en .pdf)
[17] M. Escobedo, S. Mischler, M. Del Valle, Maximization entropy problem for
Quantum
and Relativistic particles, Bulletin de la SMF 133 (2005) 87-120 (version
preprint
en .pdf)
[18] M. Escobedo, S. Mischler, M. Del Valle, Homogeneous Boltzmann equation for
Quantum
and Relativistic particles, Electron. J. Diff.
Eqns.,
Monograph 04 (2003), 85 pages (http://ejde.math.swt.edu/) (version
preprint
en .pdf)
[19] T. Horsin, S. Mischler, A. Vasseur, On the convergence of numerical
schemes for
the Boltzmann equation, Annales de l'Institut Henri
Poincaré - AN 20 No 5
(2003), 731-758 (version
preprint
en .pdf)
[20] A. Mellet, S. Mischler, Uniqueness
and
semigroup for the Vlasov
equation with elastic-diffusive reflexion boundary conditions,
Appl.
Math. Lett. 17
No.
7 (2004) 827-832 (version
preprint
en .pdf)
[21] S. Mischler, B. Perthame, L. Ryzhik, Stability in a Nonlinear Population
Maturation Model, Mathematical Models and Methods in
Applid
Sciences 12 No. 12
(2002),
1-22 (version
preprint
en .pdf)
[22] Ph. Laurençot, S. Mischler, Convergence to the equilibrium for the
coagulation-fragmentation equation, Bulletin des
Sciences
Mathématiques 127 No. 3
(2003), 179-190 (version
preprint
en .pdf)
[23] M. Escobedo, Ph. Laurençot, S. Mischler, B. Perthame,
Gelation and mass conservation
in
coagulation-fragmentation models, J. Differential
Equations 195 No
1
(2003) 143-174 (version
preprint
en .pdf)
[24] M. Escobedo, Ph. Laurençot, S. Mischler, Fast reaction limit for
coagulation-fragmentation equation, Comm. Partial
Differential Equations 28
No 5
& 6 (2003) (version
preprint
en .pdf)
[25] S. Mischler, M. Rodriguez Ricard, Existence
globale pour l'équation de
Smoluchowski continue non homogène et comportement
asymptotique
des solutions, C.R. Acad. Sc. Paris série I 336 (2003), 407-412 (version
preprint
en .pdf)
[26] M. Escobedo, P. Laurençot, S. Mischler, On a kinetic equation for
coalescing
particles, Comm. Math. Phys. 246 No 2 (2004) 237-267 (version
preprint
en .pdf)
[30] N. Fournier, S. Mischler, Exponential
trend
to equilibrium for
discrete coagulation equations with strong fragmentation and
without a
balance condition, Proc. R. Soc. Lond. Ser. A Math.
Phys.
Eng. Sci. 460 No.
2049
(2004) 2477-2486 (version
preprint
en .pdf)
[31] N. Fournier, S. Mischler, On
a
Boltzmann Equation for elastic,
inelastic and coalescing collisions, J. Math. Pures
Appl. (9) 84
(2005), no. 9, 1173–1234 (version
preprint
en .pdf)
[32] M. Escobedo, S. Mischler, M. Rodriguez Ricard, On self-similarity and stationary
problem
for fragmentation and coagulation models, Ann. Inst. H.
Poincaré Anal. Non Linéaire 22 No. 1 (2005) 99-125 (version
preprint
en .pdf)
Récompensé
par
le
prix Institut Henri Poincaré / Gauthier-Villars
[34] N. Ben Abdallah, M. Escobedo, S. Mischler, Convergence to the equilibrium for
the
Pauli equation without detailed balance condition,
C. R.
Math. Acad. Sci. Paris 341 (2005), no. 1, 5–10 (version
preprint
en .pdf)
[35] P. Laurençot, S. Mischler, Liapunov
functionals for Smoluchowski's
coagulation equation and convergence to self-similarity,
Monatsh. Math. 146 (2005), no. 2, 127–142 (version
preprint
en .pdf)
[36] S. Mischler, C. Mouhot, M. Rodriguez Ricard, Cooling process for inelastic
Boltzmann
equations for hard spheres, Part I: The Cauchy Problem,
J. Stat.
Phys. 124 (2006), no. 2-4, 655–702 (version
preprint
en .pdf)
[37] S. Mischler, C. Mouhot, Cooling
process for inelastic Boltzmann
equations for hard spheres, Part II: Existence of self-similar
solutions and proof of Haff's law, J. Stat. Phys. 124
(2006),
no. 2-4, 703–746 (version
preprint
en .pdf)
[38]
M. Escobedo, S. Mischler, On
self-similarity for the coagulation
equation, Ann. Inst. H. Poincaré Anal. Non
Linéaire 23 (2006), no. 3, 331–362 (version
preprint
en .pdf)
[39] O. Diekmann, P.-E. Jabin, S. Mischler, B. Perthame, The dynamics of adaptation : an
illuminating example and a Hamilton-Jacobi approach,
Theoretical
Population Biology 67 (2005) 257-271. (version
preprint
en .pdf)
[40] M. Escobedo, S.Mischler, J.J.L.Velazquez, On the fundamental solution of a
linearized
Uehling-Uhlenbeck equation, Arch. Rational Mech. Anal.
186
(2007), 309–349 (version
preprint
en .pdf)
[41] P. Michel, S. Mischler, B. Perthame, General relative entropy
inequality: an
illustration on growth models, J. Math. Pures Appl. (9)
84
(2005), 1235–1260. (version
preprint
en .pdf)
[43] M. Escobedo, S. Mischler, J.J.L.Velazquez, Singular Solutions for the Uehling
Uhlenbeck Equation, Proceedings of the Royal Society of
Edinburgh, 138A (2008), 67–107 (version
preprint
en .pdf)
[44] L. Desvillettes, P.-E. Jabin, S. Mischler, G. Raoul, On selection dynamics for
continuous structured
populations, Comm. Math.
Sci., (3) 6, (2008), 729-747 (version
preprint
en .pdf)
[45] S. Mischler, C. Mouhot, Stability,
convergence
to self-similarity and elastic limit for the Boltzmann
equation for inelastic hard spheres, Comm. Math. Phys.,
(3) 287,
(2009) hal-00124876
[46] S. Mischler, C. Mouhot, Stability,
convergence
to the steady state and elastic limit for the Boltzmann
equation for diffusively excited inelastic hard spheres,
Discrete and Cont.
Dyn. Syst. Series A (2009), vol. 24, pp 159-185, hal-00193200
[47] J.A. Cañizo, S. Mischler, Regularity,
asymptotic
behavior and partial uniqueness for Smoluchowski’s
coagulation equation, Rev. Mat. Iberoam. Vol. 27 no. 3,
803-839,
(2011), hal-00726385,
dernière
version
preprint
en .pdf
[48] J.A. Cañizo, S. Mischler, C. Mouhot, Rate of convergence to
self-similarity for
the Smoluchowski coagulation equation with constant coeficient,
SIAM Journal on Mathematical Analysis, (2010), vol. 41 (no. 6),
pp
2283-2314, hal-00337661
[49] A. Mellet, S. Mischler, C. Mouhot, Fractional diffusion limit for
collisional
kinetic equations, Arch. Rational Mech. Anal. Vol 199
no. 2,
493-525 (2011), hal-00321478
[50] S. Mischler, M. Rodriguez Ricard, Turing
instabilities at Hopf bifurcation, Journal of Nonlinear
Science
vol. 19 (2009), no. 5, 467–496.
Récompensé
par
le prix annuel 2009 de l’Académie des Sciences de Cuba
[51]
M. Escobedo, S. Mischler, Self-similarity
for
ballistic aggregation equation, J. Stat. Phys. 141
(2010), hal-00429213
[10] S. Mischler, Kinetic
equations
with Maxwell boundary
condition, Annales scientifiques de l’ENS 43, fascicule
5,
719-760 (2010) dernière
version
preprint
en .pdf, hal-00346628
[52] S. Mischler, C. Mouhot, Kac's
Program
in Kinetic Theory, Inventiones Mathematicae 193 (2013),
no. 1, 1–147, hal-00608971
Cet
article a donné lieu à une présentation par L. Desvillettes au
Séminaire N. Bourbaki de Novembre 2013. Résumé
& Texte.
[53] M.P. Gualdani, S. Mischler, C. Mouhot, Factorization for non-symmetric
operators
and exponential H-theorem, hal-00495786
(2013), Mém. Soc. Math. Fr. No. 153 (2017), 137 pp.
[54] A. Arnold, I.M. Gamba, M.P. Gualdani, S. Mischler, C.
Mouhot, C.
Sparber, The Wigner-Fokker-Planck equation: Stationary
states
and large time behavior,
Math. Models Meth. in Applied Science (M3AS), Vol. 22, No. 11,
(2012), arXiv:1010.2791v1
[55] J.A. Cañizo, M. J. Caceres, S. Mischler, Rate of convergence to the
remarkable state
for fragmentation and growth-fragmentation equations,
Journal de Mathématiques Pures et Appliquées, Vol.
96, No. 4, pp. 334-362 (2011), arXiv:1010.5461
[56] S. Mischler, C. Mouhot, B. Wennberg, A new approach to quantitative
chaos
propagation for drift, diffusion
and jump processes, Probab. Theory Related Fields 161
(2015), no. 1-2, 1–59, (version
preprint
en .pdf), hal-00559132
[57] J.A. Cañizo, M. J. Caceres, S. Mischler, Rate of convergence to
self-similarity for
the fragmentation equation in L^1 spaces, Communications in
Applied and
Industrial Mathematics (CAIM), 1, 2, (2010), arXiv:1102.3661
[60] M. Hauray, S. Mischler, On
Kac's
chaos and related problems, Journal of Functional
Analysis, 16 (2014), no. 7, 1423–1466, (version
preprint
en .pdf), hal-00682782
[61] N. Fournier, M. Hauray, S. Mischler, Propagation of chaos for the 2D
viscous
vortex model, Journal of the European Mathematical
Society (JEMS), 16 (2014), no. 7, 1423–1466 (version
preprint
en .pdf), hal-00762286
[62] O. Kavian, S. Mischler, A
global approach to the Schrödinger-Poisson system: An
Existence result in the case of infinitely many states,
Journal de Mathématiques Pures et Appliquées (9) 104
(2015), no. 5, 942–964 (version
preprint
en .pdf), hal-00787323
[63] N. Fournier, S. Mischler, Rate
of convergence of the Nanbu particle system for hard
potentials, Ann. Probab. 44 (2016), no. 1, 589–627. (version
preprint
en .pdf), hal-00793662
(2013)
[64] G. Egaña, S. Mischler, Uniqueness
and long time asymptotic for the Keller-Segel equation: the
parabolic-elliptic case, Arch. Ration. Mech. Anal. 220
(2016), no. 3, 1159-1194. (version
preprint
en .pdf), hal-00877878
[65] S. Mischler, J. Scher, Spectral analysis of semigroups and
growth-fragmentation equations, Ann. Inst. H. Poincaré
Anal. Non Linéaire 33 (2016), no. 3, 849-898 (version
preprint
en .pdf), hal-00877870
[67] K. Carrapatoso, S. Mischler, Uniqueness and long time asymptotic for the parabolic-parabolic Keller-Segel equation,
(2014) (version
preprint
en .pdf) hal-01011361,
Comm. Partial Differential Equations 42 (2017), no. 2, 291–345
[68] S. Mischler, C. Mouhot, Exponential
Stability of slowly decaying solutions to the
Kinetic-Fokker-Planck equation, Arch. Ration. Mech. Anal. 221 (2016), no. 2,
677–723 (version
preprint
en .pdf), hal-01098081
[69] S. Mischler, C. Quiñinao, J. Touboul, On a kinetic FitzHugh-Nagumo model
of neuronal network, Comm.
Math. Phys. 342 (2016), no. 3, 1001-1042. (version
preprint
en .pdf), hal-01108872
(2015)
[70] S. Mischler, Q. Weng, Relaxation
in time elapsed neuron network models in the weak connectivity
regime, (2015)
(version
preprint
en .pdf), hal-01148645,
Acta Appl. Math. 157 (2018), 45-74
[71] M. I. García de Soria, P. Maynar, S. Mischler, C. Mouhot,
T. Rey, E. Trizac, Towards
an H-theorem for granular gases, Journal of
Statistical Mechanics: theory and experiment, (2015) P11009 (version
preprint
en .pdf)
[72] S. Mischler, I. Tristani, Uniform
semigroup spectral analysis of the discrete, fractional &
classical Fokker-Planck equations, (2015), (version
preprint en .pdf), hal-01177101,
J. Ec. polytech. Math. 4 (2017), 389-433
[73] K. Carrapatoso, S. Mischler, Landau equation for very soft and Coulomb potentials
near Maxwellian, (2015),
hal-01237530, Ann. PDE 3 (2017), no. 1,
3:1.
[74] O. Kavian, S.
Mischler, M. Ndao, The
Fokker-Planck equation with subcritical confinement force, (2015), (version
preprint
en .pdf), hal-01241680,
J. Math. Pures Appl. 15 (9), (2021), 171-211
[75] S. Mischler, Q. Weng, On
a linear runs and tumbles equation,
(2016), (version
preprint
en .pdf), hal-01272429
Kinet. Relat. Models 10 (2017), no. 3, 799–822
[76] S. Mischler, C. Quiñinao, Q. Weng, Weak and strong connectivity
regimes for a general time elapsed neuron network
model, J. Stat. Phys. 173 (2018), no. 1,
77–98 hal-01148645
[77] E. Bouin, J. Dolbeault, S. Mischler, C. Mouhot, C.
Schmeiser, hypocoercivity
without confinement, (2017), hal-01575501,
Pure Appl. Anal. 2 (2020), no. 2, 203-232
[78]
K. Carrapatoso, J. Dolbeault, F. Hérau, S. Mischler, C. Mouhot, Weighted Korn and Poincaré-Korn inequalities in the Euclidean
space and associated operators, (2020), hal-03059166, Arch. Ration. Mech. Anal.
243 (2022), no. 3, 1565--1596
[79] A. Bernou, K. Carrapatoso, S. Mischler, I. Tristani,
Hypocoercivity for kinetic
linear equations in bounded domains with general Maxwell
boundary condition, (2021) hal-03142785,
Ann. Inst. H. Poincaré C Anal. Non Linéaire 40 (2023), no. 2,
287--338
- Prépublications
/
Nouveautés
[80] K. Carrapatoso, J. Dolbeault, F. Hérau, S. Mischler,
C. Mouhot, C. Schmeiser, Special
macroscopic modes and hypocoercivity (2021), hal-03222748,
to appear in JEMS
[81] J.A. Cañizo,
S. Mischler, Harris-type
results on geometric and subgeometric convergence to
equilibrium for stochastic semigroups, (2021) arXiv:2110.09650,
J. Funct. Anal. 284 (2023), no. 7, Paper No. 109830
[82] C. Fonte Sanchez, P. Gabriel, S. Mischler, On the Krein-Rutman theorem and
beyond, (2023) hal-04093201
Articles de "Survey", Rapports,
Notes
annonçant un
résultat, Actes de
Congrès
[8] M. Escobedo, S. Mischler, Equation
de
Boltzmann Quantique pour un gaz
de photons, Note au C.R. Acad. Sc. Paris série I 329 (1999), 593-598 (version
preprint
en .pdf)
[27] J. Clairambault, B. Laroche, S. Mischler, B. Perthame, A mathematical model of cell-cycle
and its
control, Rapport de recherche INRIA n. 4892 (2003) (version
preprint
en .pdf)
[28] N. Fournier, S. Mischler, On
a
discrete Boltzmann-Smoluchowski
Equation with bounded rate in the velocity variables,
Commun. Math. Science 2,
Supplemental issue 1 (guest editors François Golse, Thierry
Goudon, Frédéric Lagoutière) (2004) 55--63.
Proceeding de la conférence GRIP (groupe de recherche sur les
interactions de particules) sur les phénomènes de
coagulation et fragmentation (version
preprint
en .pdf)
[29] P. Laurençot, S. Mischler, On
coalescence equations and related models,
article de "survey" dans Modeling and computational
methods for
kinetic equations, Editors P. Degond, L. Pareschi, G.
Russo, 321--356, Model. Simul. Sci. Eng. Technol.,
Birkhäuser Boston, Boston, MA, 2004 (version
preprint
en .pdf)
[33] P. Michel, S. Mischler, B. Perthame, General entropy equations for
structured
population models and scattering, C.R. Acad. Sc. Paris
série I 338 (2004),
697-702
[42] M. Escobedo, S. Mischler, Qualitative
properties
of some Boltzmann like equations which do not fulfill a
detailed balance condition,
notes of a summer school in
Santander, Spain, july 2004, publié dans Recent trends in
partial
differential equations, 95–123, Contemp. Math., 409, Amer. Math.
Soc.,
Providence, RI, 2006 (version
preprint
en .pdf)
[58] S. Mischler, Le programme
de
Kac sur les limites de
champ
moyen, séminaire
EDP-X, (version
preprint
en .pdf), hal-00726384
[59] S. Mischler, C. Mouhot, About
Kac's
Program in Kinetic Theory, Note au C.R. Acad. Sc. Paris
série I 349 (2011), pp 1245-1250, hal-00641197
[66] S. Mischler, Kac's chaos
and Kac's program,
Séminaire Laurent Schwartz—Équations aux dérivées partielles et
applications. Année 2012–2013, Exp. No. XXII, 17 pp., Sémin.
Équ.
Dériv. Partielles, École Polytech., Palaiseau, 2014, (version
preprint
en .pdf), hal-00911426
- Documents de travail, Conférences, Notes
personnelles, Exposés
- Mecanismos de
crecimiento: desde el modelaje hasta el
anàlisis
matemàtico, Jornada del 50to egresado del
Doctorado en Matemàtica de la UCV, Caracas, Venezuela (version
.pdf)
- Quantitative and
uniform in time chaos convergence for
N-particle system to its single-typical-particle statistical
limit, Paris 6, Barcelona, Lyon 1, X-EDP 2010 (version
.pdf)
- Preserving
hypocoercivity when enlarging the space
setting for linear PDE and
applications, Oberwolfach 2010 (version
.pdf)
- Chaos and
Statistical solutions, congress: "Boltzmann
equation: mathematics, modeling and simulations In memory of
Carlo
Cercignani" - IHP, Paris, February 2011 (version
.pdf)
- Cours de l’Ecole doctorale EDDIMO : Estimation
quantitative et uniforme en temps de la propagation du chaos et
introduction aux limites de champ moyen pour des systèmes de
particules mars 2011, (version
provisoire.pdf)
- An inverse
solution to Kac's program in mean-field
theory, "Kinetic models of classical and quantum
particle systems" A
conference in memory of Naoufel Ben Abdallah, IMT, Toulouse,
March
14-18, 2011 (version
.pdf)
- Kac's program in
kinetic
theory, Séminaire Analyse Numérique et EDP,
Université Lille 1, 20 Octobre 2011 (version
.pdf)
- Analyse
asymptotique de modèles de fragmentation,
Ecole d'été, Modélisation en dynamique des
populations et évolution - Probabilités et EDP, La
Londe-les-Maures, 6-14 Septembre 2012 (NotesLaLonde2012.pdf)
- Uniqueness and
long time assymptotic for the
Keller-Segel equation - The parabolic-elliptic case
- Conference
Kinetic Theory,
June 17-21, 2013, Cambridge - UK (Cambridge2013.pdf)
- Propagation of
chaos for the 2D viscous Vortex model - Classical
and Quantum Mechanical Models of Many-Particle Systems,
December 2-6, 2013, Oberwolfach-Walke, Germany (Oberwolfach2013.pdf)
- Spectral analysis
of semigroups in Banach spaces and applications to
PDEs, GDR DynQua Annual meeting 2014,
5-7 February 2014, Roscoff, Station Biologique (Roscoff2014.pdf)
- Spectral analysis of semigroups in Banach
spaces and applications to PDEs, 6th International Workshop on
Kinetic
Theory & Applications,
May 12-14, 2014, Karlstad University, Sweden (Karlstad2014.pdf)
- Spectral
analysis of semigroups in Banach spaces and applications
to PDEs
(including the parabolic-parabolic Keller-Segel equation),
Boltzmann, Vlasov and related equations: last results and
open problems,, June 23-27, 2014, Cartagena, Colombia (Cartagena2014.pdf)
- Spectral analysis
of semigroups and FitzHugh-Nagumo statistical model,
Workshop
``PDEs: modelling, analysis and numerical simulations",
15-18 Septembre, 2014, Granada, September, 2014, (Granada2014.pdf)
- Spectral analysis
of semigroups in Banach spaces and Fokker-Planck
equations, Workshop "Mathematical problems and modeling
in kinetic theory", May 26-29, 2015, Rennes (Rennes2015.pdf)
- Landau equation
for Coulomb potentials near Maxwellians, International
Conference on Kinetic Equations and Related Topics,
September 13-19, 2015, Wuhan, China (Wuhan2015.pdf)
- Spectral analysis
of semigroups in Banach spaces and Fokker-Planck
equations, Seminario de Ecuaciones Diferenciales,
October 27, 2015, Universidad de Granada, Spain (Granada2015.pdf)
- Neuronal
Network: overarching framework and examples,
Groupe de travail Math-Bio, UPMC, Paris, 4 Novembre 2015 (UPMC2015.pdf)
- Survey on methods
and recent results on quantitative, qualitative and uniform in
time propagation of chaos,
Stochastic Limit Analysis for Reacting Particle System workshop,
December 16-18, 2015, Berlin, Germany (Berlin2015.pdf)
- On a linear runs
and tumbles equation, Mathematical Topics in Kinetic
Theory, May 9-13, 2016, Cambridge - UK (2016Cambridge.pdf)
- Neuronal
Network: overarching framework and examples,
CIMPA Summer Research School on "Mathematical modeling in
Biology and Medicine", 8-17 June, 2016, Santiago de Cuba (2016Santiago.pdf)
- Landau equation
for Coulomb potentials near Maxwellians and related problems,
Workshop interactions between PDEs & functional
inequalities,
September 12-16, 2016, Institut Mittag-Leffler, Sweden (2016Mittag.pdf)
- Introduction to
spectral theory for weakly hypodissipative generators,
Séminaire Analyse des EDP, 6 Octobre, 2016, Nice (2016Nice.pdf)
- On the long time
asymptotic for the Growth-Fragmentation equation - a
brief survey and a spectral analysis approach,
Workshop on: "Coagulation and Fragmentation Equations",
March 23
& 24, 2017 - Wolfgang Pauli Institute, Vienna, Austria (2017Wien.pdf)
- Villani's program
on constructive rate of convergence to the equilibrium : Part
I - Coercivity estimates,
PDE/probability interactions : kinetic equations, large time and
propagation of chaos conference, CIRM, april 18-22, 2017 (2017CIRM.pdf)
- Villani's program
on constructive rate of convergence to the equilibrium : Part
II - Hypocoercivity estimates,
Workshop on PDEs: Modelling, Analysis and Numerical Simulation,
Granada, June 19-23, 2017 (2017Granada.pdf)
- Villani's program
on constructive rate of convergence to the equilibrium, Seminary,
La Habana July 7, 2017 (2017UH.pdf)
- Régimes de
connectivité faible et forte dans un modèle de réseau de
neurones,7ème Journée Interne du Laboratoire
Jacques-Louis Lions, Paris, 7 Novembre 2017 (2017JLL.pdf)
- L^2-Hypocoercivity
estimates (and variants of Korn's inequality), PSPDE 6,
Université de Nice, November 30, (2017Nice.pdf)
- About the
asymptotic stability of positive semigroups, Conference
in honour of Mustapha Mokhtar-Kharroubi, December 11th-16th,
2017 (2017Besancon.pdf)
- Semigroups, large
time behavior, hypodissipativity and weak dissipativity,
International workshop on kinetic theory and related topics,
Tsinghua
Sanya International Mathematics Forum, China, June 25th-29th,
2018 (2018TSIMF.pdf)
- W1 stability
estimate and rate of propagation of chaos for the HS Boltzmann
model,
Recent advances in kinetic equations and applications, Rome,
November 11-15, 2019 (2019Rome.pdf)
- Hypocoercivity and
geometrical constraints or space confinement, Isaac
Newton Institute seminar during the ``Frontiers in kinetic
theory: connecting microscopic to macroscopic scales'' semester,
Cambridge, March 1st, 2022 (2022Newton.pdf)
- Yet another look
at Krein-Rutman theorem, workshop ANR NOLO,
Notre-Dame-de-Londres, March 2, 2022 (2022NOLO.pdf)
- Semigroup methods
for evolution PDE, workshop ANR ChaMaNe, Ile-Rousse,
June 23, 2022 (2022ChaMaNe.pdf)
- Krein-Rutman
theorem and Kinetic Fokker-Planck equation, ``MAFRAN
Days 2023'', Cambridge, 27 Février - 2 Mars 2023 (2023MAFRAN.pdf)
- Habilitation à Diriger des recherches / Second
Thesis
Ecole Doctorale : Ecole Doctorale de Sciences
Mathématiques de Paris Centre
Titre : Contributions
à
l'étude
mathématique de quelques
modèles issus de la physique statistique hors
équilibre (version
.pdf)
Date et lieu de soutenance : 12 décembre 2001
à l'Université de Versailles Saint-Quentin
Jury : Pierre Degond (rapporteur), Laurent
Desvillettes, François Golse, Otared Kavian, Benoît
Perthame, Jean-Pierre Puel, Mario Pulvirenti (rapporteur), Juan
J.L.
Velazquez
- Séminaires, Conférences, Ecoles organisées:
- Website
of
"EDP y aplicaciones" session, 8th Int. Conf. OR,
February 2008, La
Habana, Cuba
- Website
of the Winter School
and 9th ICOR sessions on PDE and Mathematical Biology
February 2010,
La Habana, Cuba
- Workshop
"Mean Field Limit" at IHP, Paris (academic year 2011-2012)