CEREMADE
Mischler Stéphane
Professeur des universités
Publications
Articles
Carrapatoso K., Dolbeault J., Hérau F., Mischler S., MOUHOT C., Schmeiser C. (2023), Special macroscopic modes and hypocoercivity, Journal of the European Mathematical Society 
Cañizo, J., Mischler S. (2023), Harris-type results on geometric and subgeometric convergence to equilibrium for stochastic semigroups, Journal of Functional Analysis, vol. 284, n°7, p. 109830
Bernou A., Carrapatoso Nascimento Junior K., Mischler S., Tristani I. (2022), Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, p. 46
Carrapatoso K., Dolbeault J., Hérau F., Mischler S., Mouhot C. (2022), Weighted Korn and Poincaré-Korn inequalities in the Euclidean space and associated operators, Archive for Rational Mechanics and Analysis, vol. 243, p. 1565–1596
Kavian O., Mischler S., Ndao M. (2021), The Fokker-Planck equation with subcritical confinement force, Journal de mathématiques pures et appliquées, vol. 151, p. 171-211
Bouin E., Dolbeault J., Mischler S., Mouhot C., Schmeiser C. (2020), Hypocoercivity without confinement, Pure and Applied Analysis, vol. 2, n°2, p. 203-232
Mischler S., Quiñinao C., Weng Q. (2018), Weak and strong connectivity regimes for a general time elapsed neuron network model, Journal of Statistical Physics, vol. 173, p. 77–98
Mischler S., Weng Q. (2018), Relaxation in time elapsed neuron network models in the weak connectivity regime, Acta Applicandae Mathematicae, vol. 157, n°1, p. 45-74
Mischler S., Weng Q. (2017), On a linear runs and tumbles equation, Kinetic & Related Models, vol. 10, n°3, p. 799 - 822
Carrapatoso K., Mischler S. (2017), Landau equation for very soft and Coulomb potentials near Maxwellians, Annals of PDE, vol. 3, n°1
Carrapatoso K., Mischler S. (2017), Uniqueness and long time asymptotic for the parabolic-parabolic Keller-Segel equation, Communications in Partial Differential Equations, vol. 42, n°2, p. 291-345
Mischler S., Quiñinao C., Touboul J. (2016), On a Kinetic Fitzhugh–Nagumo Model of Neuronal Network, Communications in Mathematical Physics, vol. 342, n°3, p. 1001–1042
Mischler S., Scher J. (2016), Spectral analysis of semigroups and growth-fragmentation equations, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 33, n°3, p. 849-898
Mischler S., Fournier N. (2016), Rate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules, Annals of Probability, vol. 44, n°1, p. 589-627
Fernandez G., Mischler S. (2016), Uniqueness and long time asymptotic for the Keller-Segel equation: The Parabolic–Elliptic Case, Archive for Rational Mechanics and Analysis, vol. 220, n°3, p. 1159-1194
Mischler S., Mouhot C. (2016), Exponential stability of slowly decaying solutions to the kinetic Fokker-Planck equation, Archive for Rational Mechanics and Analysis, vol. 221, n°2, p. 677-723
Garcia De Soria M., Maynar P., Mischler S., Mouhot C., Rey T., Trizac E. (2015), Towards an H-theorem for granular gases, Journal of Statistical Mechanics: Theory and Experiment, vol. 2015
Kavian O., Mischler S. (2015), A global approach to the Schrödinger-Poisson system: An existence result in the case of infinitely many states, Journal de mathématiques pures et appliquées, vol. 104, n°5, p. 942-964
Mischler S., Mouhot C., Wennberg B. (2015), A new approach to quantitative propagation of chaos for drift, diffusion and jump processes, Probability Theory and Related Fields, vol. 161, n°1-2, p. 1-59
Mischler S., Hauray M. (2014), On Kac's chaos and related problems, Journal of Functional Analysis, vol. 266, n°10, p. 6055-6157
Mischler S., Fournier N., Hauray M. (2014), Propagation of chaos for the 2D viscous vortex model, Journal of the European Mathematical Society, vol. 16, n°7, p. 1423–1466
Mischler S., Mouhot C. (2013), Kac's Program in Kinetic Theory, Inventiones Mathematicae, vol. 193, n°1, p. 1-147
Gualdani M., Gamba I., Mischler S., Sparber C., Arnold A., Mouhot C. (2012), The Wigner-Fokker-Planck equation: Stationary states and large time behavior, Mathematical Models and Methods in Applied Sciences, vol. 22, n°11, p. n°1250034
Mellet A., Mischler S., Mouhot C. (2011), Fractional diffusion limit for collisional kinetic equations, Archive for Rational Mechanics and Analysis, vol. 199, n°2, p. 493-525
Mischler S., Mouhot C. (2011), About Kac's Program in Kinetic Theory, Comptes rendus. Mathématique, vol. 349, n°23-24, p. 1245-1250
Mischler S., Cañizo J. (2011), Regularity, local behavior and partial uniqueness for self-similar profiles of Smoluchowski's coagulation equation, Revista Matematica Iberoamericana, vol. 27, n°3, p. 803-839
Cañizo J., Mischler S., Caceres M. (2011), Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations, Journal de mathématiques pures et appliquées, vol. 96, n°4, p. 334-362
Escobedo M., Mischler S. (2010), Scalings for a Ballistic Aggregation Equation, Journal of Statistical Physics, vol. 141, n°3, p. 422-458
Mischler S. (2010), Kinetic equations with Maxwell boundary conditions, Annales scientifiques de l'Ecole normale supérieure, vol. 43, n°5, p. 719-760
Mouhot C., Mischler S., Cañizo J. (2010), Rate of convergence to self-similarity for Smoluchowski's coagulation equation with constant coefficients, SIAM Journal on Mathematical Analysis, vol. 41, n°6, p. 2283-2314
Mouhot C., Mischler S. (2009), Stability, convergence to the steady state and elastic limit for the Boltzmann equation for diffusively excited granular media, Discrete and Continuous Dynamical Systems, vol. 24, n°1, p. 159-185
Mouhot C., Mischler S. (2009), Stability, convergence to self-similarity and elastic limit for the Boltzmann equation for inelastic hard spheres, Communications in Mathematical Physics, vol. 288, n°2, p. 431-502
Ricard M., Mischler S. (2009), Turing Instabilities at Hopf Bifurcation, Journal of Nonlinear Science, vol. 19, n°5, p. 467-496
Escobedo M., Velazquez J., Mischler S. (2008), Singular solutions for the Uehling-Uhlenbeck equation, Proceedings of the Royal Society of Edinburgh. Section A, Mathematical and Physical Sciences, vol. 138, n°1, p. 67-107
Jabin P-E., Raoul G., Mischler S., Desvillettes L. (2008), On selection dynamics for continuous structured populations, Communications in Mathematical Sciences, vol. 6, n°3, p. 729-747
Velazquez J., Mischler S., Escobedo M. (2007), On the Fundamental Solution of a Linearized Uehling–Uhlenbeck Equation, Archive for Rational Mechanics and Analysis, vol. 186, n°2, p. 309-349
Mischler S., Escobedo M. (2006), Dust and self-similarity for the Smoluchowski coagulation equation, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 23, n°3, p. 331-362
Mouhot C., Mischler S. (2006), Cooling process for inelastic Boltzmann equations for hard spheres, Part II: Self-similar solutions and tail behavior, Journal of Statistical Physics, vol. 124, n°2-4, p. 703-746
Mischler S., Rodriguez Ricard M., Mouhot C. (2006), Cooling process for inelastic Boltzmann equations for hard spheres, Part I: The Cauchy problem, Journal of Statistical Physics, vol. 124, n°2-4, p. 655-702
Mischler S., Fournier N. (2005), A spatially homogeneous Boltzmann equation for elastic, inelastic, and coalescing collisions, Journal de mathématiques pures et appliquées, vol. 84, n°9, p. 1173-1234
Mischler S., Escobedo M., Rodriguez Ricard M. (2005), On self-similarity and stationary problem for fragmentation and coagulation models, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, vol. 22, n°1, p. 99-125
Fournier N., Mischler S. (2004), Exponential trend to equilibrium for discrete coagulation equations with strong fragmentation and without a balance condition, Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, vol. 460, n°2049, p. 2477-2486
Mischler S., Ponthiaux P. (2001), A round robin on combined electrochemical and friction tests on alumina/stainless steel contacts in sulphuric acid, Wear, vol. 248, n°1-2, p. 211-225
Présentation(s) dans un séminaire de recherche
Mischler S. (2013), Kac's chaos and Kac's program, in Séminaire Laurent Schwartz 2012-2013, Paris, Université Paris-Dauphine, 17 p
Mischler S. (2012), Sur le programme de Kac concernant les limites de champ moyen, in Séminaire Equations aux dérivées partielles, Palaiseau, 19 p
Prépublications / Cahiers de recherche
Carrapatoso Nascimento Junior K., Gabriel P., Medina Rodriguez R., Mischler S. (2024), Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in a domain, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 51 p.
Fonte Sanchez C., Mischler S. (2024), On the Voltage-Conductance kinetic equation, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 35 p.
Carrapatoso Nascimento Junior K., Mischler S. (2024), The Kinetic Fokker-Planck equation in a domain: Ultracontractivity, hypocoercivity and long-time asymptotic behavior, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 24 p.
Carrapatoso Nascimento Junior K., Gabriel P., Medina Rodriguez R., Mischler S. (2024), Constructive Krein-Rutman result for Kinetic Fokker-Planck equations in a domain, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 51 p.
Carrapatoso Nascimento Junior K., Mischler S. (2024), The Landau equation in a domain, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 52 p.
Fonte Sanchez C., Gabriel P., Mischler S. (2023), On the Krein-Rutman theorem and beyond, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 184 p.
Alvarez Borges F., Carrapatoso Nascimento Junior K., Mischler S. (2023), On the self-similar stability of the parabolic-parabolic Keller-Segel equation, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 23 p.
Mischler S. (2016), Erratum: Spectral analysis of semigroups and growth-fragmentation equations, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 4 p.
Mischler S., Tristani I. (2015), Uniform semigroup spectral analysis of the discrete, fractional & classical Fokker-Planck equations, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 45 p.
Mouhot C., Gualdani M., Mischler S. (2010), Factorization for non-symmetric operators and exponential H-theorem, Paris, Université Paris-Dauphine, 32 p.
Mouhot C., Mischler S. (2010), Quantitative uniform in time chaos propagation for Boltzmann collision processes, Paris, Université Paris-Dauphine, 60 p.