PhD thesis
Marnie Smith 2023-
Amélie Loher 2021-
Dominic Wynter (Cambridge) 2020-2024
>> Shock phenomena for the one-dimensional Boltzzmann equation and related kinetic problems
Renato Velozo (Cambridge) 2019-2022 (co-supervision with M. Dafermos)
>> Linear and non-linear collisionless many-particle systems
Angeliki Menegaki (Cambridge) 2018-2021
>> Quantitative studies and Hydrodynamical limits for interacting particle systems
Megan Griffin-Pickering (Cambridge) 2016-2019 (co-supervision with M. Iacobelli)
>> Contributions to the Derivation and Well-posedness Theory of Kinetic Equations
Jo Evans (Cambridge) 2015-2018
>> Deterministic and Stochastic Approaches to Relaxation to Equilibrium for Particle Systems
Franca Hoffmann (Cambridge) 2014-2017 (co-supervision with J. A. Carrillo)
Ludovic Cesbron (Cambridge) 2013-2017 (co-supervision with A. Mellet)
>> On the derivation of non-local diffusion equations in confined spaces
Tom Holding (Cambridge) 2013-2016 (co-supervision with J. A. Carrillo)
>> Asymptotic Behaviour and Derivation of Mean Field Models
Helge Dietert (Cambridge) 2013-2016 (co-supervision with A. Iserles)
>> Contributions to mixing and hypocoercivity in kinetic models
Sara Merino (Cambridge) 2011-2015 (co-supervision with J. Norris)
>> Contributions in fractional diffusive limit and wave turbulence in kinetic theory
Marc Briant (Cambridge) 2011-2014
>> On the Boltzmann equation, Quantitative studies and hydrodynamical limits
Kleber Carrapatoso (Uni. Paris-Dauphine) 2010-2013 (co-supervision with S. Mischler)
>> Théorèmes asymptotiques pour les équations de Boltzmann et de Landau
Daniel Marahrens (Cambridge 2009-2012) (informal partial supervision, main advisors: P. Markowich, C. Sparber)
>> On some nonlinear partial differential equations for classical and quantum many body systems
Thomas Rey (Uni. Lyon 1) 2009-2012 (co-supervision with F. Filbet)
>> Quelques contributions à l’analyse mathématique et numérique d’équations cinétiques collisionnelles
MPhil thesis
Davide Piazzoli (Cambridge) 2014-2017 (co-supervision with F. Bolley)
> Relaxation to equilibrium for the kinetic Fokker-Planck equation
Cambridge Center for Analysis research projects
Ben Jennings, Adam Kashlak, Davide Piazzoli (2014)
> An Overview of the Cauchy Problem for the Vlasov-Poisson Equation
David Driver, Zhuo Min Lim (2014)
> Existence and Continuation for Euler Equations
Alexander Bastounis, Tom Holding, Vittoria Silvestri (2013)
> The Cauchy problem for the Boltzmann equation
Milana Gataric (2012)
> Concentration-compactness in PDEs and orbital stability of galaxy configurations
Part III essays
Ruoyu Wang 2017: Around the Nash-Moser theorem
Armand Bernou 2017: Free molecular flow and boundary effects
Ricardo Grande 2015: Averaging Lemmas and the X-ray transform
Jo Evans 2013: Distributions: Topology and Sequential Compactness
Kevin Schlegel 2013: Distributions: Topology and Sequential Compactness
James Kilbane 2013: Weyl’s Theorem and constructive growth estimates on semi-groups
Helge Dietert 2012: Penrose Stability Criterion for Plasmas
Otis Chodosh 2011: Optimal Transport and Ricci Curvature: Wasserstein Space Over the Interval
Undergraduate (and “M1”) essays
Yizhen Chen (Cambridge, 2022): Quantitative Propagation of Smallness for Solutions of Elliptic Equations
Lucas Lemoine (ÉNS Paris, 2022)
Samuel Chan-Ashing (ÉNS Rennes, 2022): Random dynamical systems and application to turbulence
Cyril Letrouit (ENS Paris, 2017): Solutions auto-similaires de l’équation de Navier-Stokes
Younes Zine (ENS Rennes, 2017): Paradoxe de Scheffer-Shnirelman et intégration convexe
Antoine Diez (ENS Rennes, 2016): Around the Boltzmann-Grad limit
Alexis Drouot & Brice Legrigno (ENS Paris, 2010): Développement de singularités dans les solutions de l’équation de Navier-Stokes
Roméo Hatchi (ENS Lyon, 2008, co-supervised with S. Mischler): L’inégalité de Nash
Victor Lévy (ENS Lyon, 2007, co-supervised with S. Mischler): Versions quantitatives du théorème spectral pour la fonction exponentielle
Collaborators (joint paper)
Ricardo Alonso, Anton Arnold, Céline Baranger, Jacob Bedrossian, Thierry Bodineau, Émeric Bouin, Marc Briant, José Alfredo Cañizo, Eric Carlen, Esther Daus, Laurent Desvillettes, Jean Dolbeault, Francis Filbet, Nicolas Fournier, Irene Gamba, François Golse, Maria Pia Gualdani, Franca Hoffmann, Cyril Imbert, Ansgar Jüngel, Axel Klar, Joel Lebowitz, Xuguang Lu, Nader Masmoudi, Antoine Mellet, Sara Merino, Stéphane Mischler, Lukas Neumann, Lorenzo Pareschi, Thierry Paul, Thomas Rey, Valeria Ricci, Emmanuel Russ, Christian Schmeiser, Yannick Sire, Christof Sparber, Robert Strain, Alexis Vasseur, Cédric Villani, Bernt Wennberg, Nicola Zamponi
Clément Mouhot 