Curriculum vitae

Mischler Stéphane

Professeur des universités
CEREMADE

mischlerping@ceremade.dauphinepong.fr
Bureau : B 519
Site web personnel

Dernières publications

Articles

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., 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

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., Weng Q. (2017), On a linear runs and tumbles equation, Kinetic & Related Models, vol. 10, n°3, p. 799 - 822

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., 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

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., 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

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

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

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

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., Hauray M. (2014), On Kac's chaos and related problems, Journal of Functional Analysis, vol. 266, n°10, p. 6055-6157

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 (M3AS), vol. 22, n°11, p. n°1250034

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

Mischler S., Mouhot C. (2011), About Kac's Program in Kinetic Theory, Comptes rendus. Mathématique, vol. 349, n°23-24, p. 1245-1250

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., 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

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

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. (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

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

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

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., 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., 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., 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 K., Dolbeault J., Hérau F., Mischler S., Mouhot C., Schmeiser C. (2021), Special modes and hypocoercivity for linear kinetic equations with several conservation laws and a confining potential, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 41 p.

Bernou A., Carrapatoso Nascimento Junior K., Mischler S., Tristani I. (2021), Hypocoercivity for kinetic linear equations in bounded domains with general Maxwell boundary condition, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 46 p.

Mischler S., Quiñinao C., Weng Q. (2018), Weak and strong connectivity regimes for a general time elapsed neuron network model, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 20 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.

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