## Topics:

- Conservation laws, degenerate parabolic PDEs
- Nonlinear and fractional diffusion
- Models of road and pedestrian traffic
- Analysis of Finite Volume methods, discrete functional analysis

## Talks :

- Workshop on PDE/Probability Interactions : Particle Systems, Hyperbolic Conservation Laws (CIRM, Luminy, FRANCE), October 2019
*Flux-constrained conservation laws : modeling, analysis, many-particles’ approximation*

. - PDE, numerical analysis and modelling seminar Institut Camille Jordan (Lyon, FRANCE), June 2019
*A framework for interface coupling of conservation laws and applications*

. - Congrès SMAI 2019 (Guidel, FRANCE), May 2019
*Sur la convergence des schémas monotones pour les problèmes d’évolution L1L1-contractants (slides in English)*

. - PDE seminar in Bordeaux (France), February 2019

Notions of solution for conservation laws with fractional diffusion

. - CANUM 2018 (Cap d’Agde, FRANCE), June 2018
*Existence des solutions et approximation volumes finis pour certains systèmes de diffusion croisée (slides in English)*

. - Nonlinear Analysis Workgroup ENS Paris/Univ. Paris 6-7, June 2016 /

PDE and Numerical Analysis seminar Univ. Nantes February 2017/

Analysis seminar NTNU Trondheim, Norway August 2017*Conservation laws with point constraints : analysis, approximation, modeling of road and pedestrian traffic*

. - Analysis and Control on Networks : trends and perspectives, Padua, Italy, March 2016
*Well-posedness for some LWR models on a junction*

. - CEA-EDF-INRIA School New Trends in Compatible Discretizations, Rocquencourt, July 2015
*Formulation and analysis of Discrete Duality Finite Volume schemes.*,

Part I : 2D Co-volume scheme for p(x)-laplacian and use of discrete duality*Part II : 2D and 3D DDFV schemes*,*Part III : detailed presentation of 3D CeVeFE-DDFV scheme*

. - NumHyp 2015, 4th Conference on numerical approximation of hyperbolic systems with source terms and aplications, Cortona, Italy June 2015
*Well-balanced Finite Volume schemes for scalar discontinuous-flux conservation laws*

. - Tours, March 2015

and

GSSI, l’Aquila, Italy, June 2015*Inégalités de Kato pour les problèmes de convection-diffusion scalaires (French)**Kato inequalities for scalar convection-diffusion problems*

. *27ième séminaire CEA-GAMNI, IHP, Paris, february 2015**Analysis and approximation of particle-in-Burgers model*

.*Journées d’Analyse Non Linéaire, June 19-20, 2014, Besançon*

and

Séminaire du Laboratoire Jacques-Louis Lions, June 27, 2014, Paris VI*Notions of solution for conservation laws with fractional diffusion*

.*CANUM 2014 : 42ième Congrès National d’Analyse Numérique, Carry Le-Rouet, April 2014**Caractérisation et approximation des limites singulières : le cas des lois de conservation*(French)

.*9th DFG-CNRS Workshop on Two-Phase Fluid Flows, Paris VI, february 2014**On quasi-Richards equation and finite volume approximation of two-phase flow with unlimited air mobility*

.*EquaDiff13, Prague, Czech Republic, August 2013*

On hyperbolic-parabolic equations with discontinuous flux, or How much information should be contained in (adapted) entropy inequalities ?

.*Congress Nonlinear Partial Differential Equations in honor of J. Mazón 60th anniversary, Valencia, Spain, July 2013**Formulation and well-posedness of a nonlinear parabolic problem with inhomogeneous absorption*

.*SIAM Conference on Mathematical and Computational Issues in Geosciences, Padua, Italy, June 2013**A phase-by-phase upstream scheme that converges to the right solution for countercurrent two-phase flow in two-rocks media*

.*Oberwolfach workshop “Hyperbolic techniques for phase dynamics”, June 2013**Hyperbolic techniques for scalar degenerate parabolic problems*

.*8th DFG-CNRS Workshop on Two-Phase Fluid Flows, WIAS Berlin, february 2013**Solutions of Buckley-Leverett equation in heterogeneous medium and their approximation*

.*MoMaS workshop on two-phase flows, Nice, october 2012**On “quasi-Richards’’ equation and finite volume approximation of two-phase flow with unlimited air mobility*

.*6th European Congress of Mathematics (mini-symposium on Hyperbolic Conservation Laws), Krakow, Poland, July 2012*

and

Advances in Nonlinear PDEs, International conference in honour of Prof. Adimurthi, Bangalore, India, June 2012*Conservation Laws with discontinuous flux and applications*

.*14th international conference on Hyperbolic problems HYP2012, Padua, Italy, June 2012**Generalizing the Bardos-LeRoux-Nédélec boundary condition for scalar conservation laws*

.*Workshop “Recent Trends in Differential Equations : Analysis and Discretization Methods”, Bielefeld, Nov. 2011**Renormalized solutions adapted to the fractal Laplace operator*

.*Workshop “Hyperbolic Conservation Laws and Related Analysis with Applications”, Edinburgh, Sept. 2011**A particle-in-Burgers model : theory and numerics*

.*CEMRACS’11, CIRM, Luminy**Degenerate nonlinear parabolic-hyperbolic equations and their finite volume approximation*

.*FVCA 6, Prague, Czech Republic**Time compactness tools for discretized evolution equations and applications to degenerate parabolic PDEs*

.*Mamern’11, Saidia, Morocco**On conservation laws with discontinuous flux in the porous medium context*

.*Bordeaux II, 2011**Attractors of reaction-diffusion systems via a preconditioning technique*

.*HYP2010 Beijing, China**Dissipative coupling of scalar conservation laws across an interface : theory and applications*

.*Hyperbolic Month in Parma, 2010**Weak and entropy solutions to fractional conservation laws*

.*Orsay 2009**Theory and numerics for locally constrained conservation laws*

.*Rennes (Ker Lann) 2009**On certain cross-diffusion systems and their Finite Volume approximation*

.*Toulouse 2009**Stability of solutions of the p(x)-laplacian and numerical approximation*

.*Mathematical Modelling and Computing in Electrocardiology, Nantes 2009**Convergence of finite volume schemes for the macroscopic bidomain model of the heart electric activity*

.*FVCA 4, Marrakesh, Morocco, 2005**“Duplex” finite-volume schemes for nonlinear elliptic problems on general 2D meshes*

.