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Open PDE & Analysis Seminar                       Home   CV   Research   Publications   Teaching   Links

(Pre)Publications

1. Gevrey WKB method for pseudodifferential operators of real principal type (with Richard Lascar).
   Submitted ( Hal )


2. Simultaneous control for the heat equation with dirichlet and neumann boundary conditions (with Nicolas Burq).
   Submitted ( ArXiv )


3. Propagation of smallness and spectral estimates (with Nicolas Burq).
   Submitted ( ArXiv )


4. Quantitative rates of convergence to equilibrium for the degenerate linear Boltzmann equation on the torus (with Josephine Evans).
   Submitted. 22p. ( ArXiv )


5. Local null-controllability of the 2-D Vlasov-Navier-Stokes system.
   Submitted. 43p. ( hal )

Publications

1. A remark on the logarithmic decay of the damped wave and Schrödinger equations on a compact Riemannian manifold (with Nicolas Burq).
   Portugaliae Mathematica (to appear) ( ArXiv )


2. Spectral Inequalities for the Schrödinger operator (with Gilles Lebeau).
   Analysis and PDEs, to appear ( ArXiv )


3. Relaxed solutions for incompressible inviscid flows: A variational and gravitational approximation to the initial value problem (with Yann Brenier).
   Philosophical Transactions of the Royal Society A ( article ) ( ArXiv )


4. Propagation of smallness and control for heat equations (with Nicolas Burq).
   Journal of the European Mathematical Society (JEMS) ( article ) ( ArXiv )


5. Large time behavior of the Vlasov-Navier-Stokes system on the torus (with Daniel Han-Kwan and Ayman Moussa).
   Archive for Rational Mechanics and Analysis 236, pp. 1273–1323 (2020) ( article) ( ArXiv )


6. Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system (with Daniel Han-Kwan, Evelyne Miot and Ayman Moussa).
   Revista Matemática Iberoamericana Volume 36, Issue 1, 2020, pp. 37–60 ( article) ( ArXiv )


7. Finite-time stabilization of an overhead crane with a flexible cable (with Brigitte d'Andréa-Novel and Lionel Rosier).
   Mathematics of Control, Signals and Systems (to appear). 15p. ( hal )


8. Linear Boltzmann equation and fractional diffusion (with Claude Bardos and François Golse).
   Kinetic & Related Models, 2018, 11 (4) : 1011-1036. ( article ) ( hal ) ( ArXiv )


9. Local exact controllability of a quantum particle in a time-varying 2D disc with radial data.
   Journal of Mathematical Analysis and Applications, Volume 455, Issue 2, 15 November 2017, pp. 1323-1350. ( article ) ( hal )


10. On the controllability of the 2-D Vlasov-Stokes system.
    Communications in Mathematical Sciences, 15:3 (2017), pp. 711-743. ( article ) ( hal )


11. Flatness for a strongly degenerate 1-D parabolic equation.
    Mathematics of Control, Signals and Systems, 28:28 (2016). ( article ) ( hal )


12. Null-controllability of the Kolmogorov equation in the whole phase space (with Jérôme Le Rousseau).
    Journal of Differential Equations, 260 (2016), pp. 3193-3233. ( article ) ( hal )

Proceedings and other texts

1. Contrôlabilité de quelques équations cinétiques collisionnelles et non collisionnelles : Fokker-Planck et Vlasov-Navier-Stokes. Actes du Séminaire Laurent Schwartz (EDP et Applications). Novembre 2016. ( text )

Research