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Francesco Fanelli is a Research Professor at the Basque Center for Applied Mathematics (BCAM) under Ikerbasque - Basque Foundation for Science. He is on leave from Université Claude Bernard Lyon 1 and Institut Camille Jordan since September 2023. His work spans partial differential equations (PDEs), fluid dynamics, harmonic analysis, and asymptotic behavior of non-homogeneous fluids. He has made significant contributions to: Hydrodynamics of inviscid and compressible fluids Multi-scale analysis and singular perturbation problems Well-posedness theory for hyperbolic operators with low regularity coefficients Fourier analysis methods in PDEs (Littlewood-Paley theory, paradifferential calculus) His research intersects with geophysical fluid dynamics, magnetohydrodynamics (MHD), and turbulence theory. His 15 most recent publications focus on: Ekman boundary layers and pumping effects Kolmogorov turbulence models Fast rotation asymptotics Low Mach number limits with stratification Singular integrals and Besov space applications Scientific recognition includes: PEDR teaching and research excellence fellowship (2017-2020, renewed 2021-2025) ERC Consolidator Grant finalist (2024) Vinci 2010 fellowship He organizes and participates in international conferences on fluid dynamics and PDEs. Collaborators include leading researchers from institutions in France, Italy, Spain, Poland, and Chile.

• Partial Differential Equations
• Fluid Dynamics
• Harmonic Analysis
• +6 more

Guillaume Chiavassa is a Professor in Applied Mathematics at Ecole Centrale de Marseille, affiliated with the Laboratoire M2P2 (Mechanics, Modeling and Physical Processes Laboratory). He leads research in the Thermodynamics, Waves, Digital, Interfaces and Combustion team, focusing on advanced computational methods for complex physical phenomena. His research spans wave propagation in porous media, numerical modeling of plasma flows in Tokamak configurations, multilevel schemes for conservation laws, penalization methods for compressible flows, and wavelets in numerical analysis. Chiavassa's work demonstrates exceptional mathematical rigor applied to challenging physical systems, particularly in nonlinear wave dynamics and computational fluid mechanics. His methodologies bridge theoretical mathematics with practical engineering applications. Analysis of his recent publications reveals a strong focus on wave propagation phenomena across diverse media, with significant contributions to numerical methods for nonlinear systems. His work consistently addresses the mathematical challenges of modeling complex physical behaviors including material softening, fractional attenuation in porous media, and plasma dynamics in fusion devices. The interdisciplinary nature of his research connects applied mathematics with mechanical engineering, geophysics, and nuclear fusion technology. Chiavassa leads the PROSPERO Software project and participates in the ANR Espoir research initiative and the Consortium SEISCOPE. His teaching activities include courses on hyperbolic equations, finite elements, and heat transfer, with practical computational components developed for student instruction. He maintains an active research program through Laboratory M2P2, where his team develops advanced numerical methods for simulating complex physical phenomena with applications ranging from environmental engineering to nuclear fusion research.

• Wave Propagation
• Numerical Analysis
• Computational Fluid Dynamics
• +6 more

Christian Bonatti is a CNRS Researcher at the Mathematical Institute of Burgundy (IMB), University of Burgundy, and a member of the Geometry, Algebra, Dynamics, and Topology team. His work focuses on dynamical systems, particularly hyperbolic dynamics, partially hyperbolic systems, and singular hyperbolicity. Institute: Institute of Mathematics of Burgundy (UMR 5584 CNRS) Location: Mirande Building, Wing A, Office 307, Dijon Contact: christian.bonatti@ube.fr / christian.bonatti@u-bourgogne.fr Bonatti’s research investigates chaotic systems through geometric frameworks. He has contributed to understanding Anosov flows, Morse-Smale diffeomorphisms, and robust properties of dynamical systems in dimensions 2 and 3. His work often bridges topology and dynamics, exploring phenomena like homoclinic tangencies and singular hyperbolicity. His recent publications include studies on Anosov flows, prelaminations, and Morse-Smale classifications. Despite the absence of explicit student lists in the provided texts, he is known for mentoring postdocs and students in dynamical systems. Outside academia, Bonatti engages in painting and appreciates music, particularly works by Mahler and Stravinsky. He also practices culinary arts, passing down family recipes like his father’s meringue pie.

• Dynamical Systems
• Hyperbolic Dynamics
• Partially Hyperbolic Systems
• +7 more

Camilla Fiorini is an Associate Professor at the National Conservatory of Arts and Crafts (CNAM) in Paris, where she conducts research at the Mathematical and Numerical Modeling Laboratory (M2N). She serves as Principal Investigator for the ANR-funded SPARCL project (2025-2029) focusing on structure-preserving reduced order models for conservation laws. Her academic background includes a PhD in Applied Mathematics from the University of Versailles and both MSc/BSc degrees in Mathematical Engineering from Politecnico di Milano. Her research centers on computational fluid dynamics, numerical analysis of PDEs, and sensitivity methods, with specific applications in uncertainty quantification and reduced order modeling. Current projects develop novel approaches for conservation laws that maintain structural properties while improving computational efficiency and reliability. Fiorini's publication record demonstrates consistent focus on sensitivity analysis techniques for complex fluid systems, shock-capturing methods, and uncertainty propagation in hyperbolic PDEs. She received the SMAI-GAMNI PhD Award 2019 (French ECCOMAS Award) for her doctoral dissertation on sensitivity analysis for nonlinear hyperbolic systems. As Principal Investigator of the SPARCL project, she leads a team developing new reduced basis construction techniques for conservation laws. Fiorini actively advises graduate researchers including PhD students Nathalie Nouaime (2021-2024) and Nicolas Lepage (2022-present), plus multiple Master's candidates. Her research group collaborates with institutions including Inria, Sorbonne University, ONERA, and CEA. Current projects include ANR JCJC-funded SPARCL and ANR AHEAD initiatives. She leads the SPARCL research group at M2N laboratory, collaborating with researchers including Alessia Del Grosso, Iraj Mortazavi, and Taraneh Sayadi on reduced order modeling techniques. The team focuses on developing computationally efficient ROMs that preserve physical structures in conservation laws.

• Computational Fluid Dynamics
• Numerical Analysis
• Partial Differential Equations
• +4 more

Sam G. Krupa is a Research Fellow at École normale supérieure in Paris, France, holding a Marie Skłodowska-Curie European Postdoctoral Fellowship for his project on "Quantitative Stability and Regularity of Large Data for Conservation Laws," funded by the European Union with a grant of €195,914.88. His mentor is Cyril Imbert. Research interests include: Nonlinear Partial Differential Equations Fluid Dynamics Hyperbolic Systems of Conservation Laws Compressible Euler System Shocks Well-posedness Theory Ill-posedness Theory Convex Integration Scientific awards: Marie Skłodowska-Curie European Postdoctoral Fellowship Contact: sam.krupa@ens.fr . GitHub repositories include code for hyperbolic problems, p-system blowup analysis, and non-uniqueness in 2D isentropic Euler equations.

• Nonlinear Partial Differential Equations
• Fluid Dynamics
• Hyperbolic Systems of Conservation Laws
• +5 more

Sébastien Tordeux is an Associate Professor at the University of Pau, affiliated with the Magique 3D research team in the Faculty of Sciences. His research focuses on numerical methods for wave propagation, particularly Trefftz methods, asymptotic expansions, and electromagnetic/acoustic scattering. He holds a PhD in Applied Mathematics from the University of Versailles Saint-Quentin and has held positions at INSA-Toulouse and ETH Zurich. He has advised multiple PhD students and organized conferences such as the 2017 conference in honor of Abderrahmane Bendali. His work emphasizes high-order numerical modeling and efficient solvers for wave equations in complex media. Education: PhD in Applied Mathematics (2004, Université de Versailles), DEA M2SAP (2001), ENSTA Engineer (1998-2001). Professional roles include Chair of Excellence in Numerical Analysis (INRIA-UPPA 2010-2015), and leadership in Master’s program administration and national academic committees (CNU 26). Research interests span Trefftz methods for time-harmonic models, numerical solvers reducing pollution effects, and asymptotic modeling for small obstacle scattering. Recent contributions include quasi-Trefftz methods for electromagnetic systems and iterative approaches for 3D wave simulations. He has supervised PhD students working on topics like antenna patch models, perforated plate acoustics, and multiscale electromagnetic diffraction. His collaborative projects involve institutions like ONERA and TU Berlin, focusing on high-accuracy wave modeling and computational methods.

• Numerical Analysis
• Wave Propagation
• Electromagnetic Theory
• +3 more

Alexandre Ern is a Senior Researcher at CERMICS (École des Ponts ParisTech) and INRIA Paris (SERENA team), where he has contributed since 1995 and 2016, respectively. He holds a professorship at École des Ponts (since 1997) and previously served as Associate Professor at École Polytechnique (2010–2022). Since 2015, he heads the Master's program in Applied Mathematics at École des Ponts. Ern is Co-Editor-in-Chief of the IMA Journal of Numerical Analysis (since 2024) and Associate Editor for multiple top journals including SIAM Journal on Scientific Computing and ESAIM Mathematical Modelling and Numerical Analysis. His research focuses on numerical methods (finite elements, discontinuous Galerkin, hybrid high-order schemes), a posteriori error estimation , and applications in fluid/solid mechanics and environmental flows (hydrology, porous media). He develops structure-preserving discretizations for complex PDEs and explores computational geosciences and wave propagation. Ern's publications emphasize robust error analysis , high-order discretizations , and computational efficiency for elliptic, parabolic, and hyperbolic systems. Recent work explores hybrid high-order methods for wave equations, Maxwell's equations, and interface problems, often leveraging polynomial-degree-robust techniques and unfitted meshes. Scientific Awards: Paul Caseau Prize (2020) Nominee, AMIES Prize (2020) ENPC Best PhD Award (supervision) UPE Best PhD Award (supervision) Frontiers of Science Award, Int. Congress Basic Science (2024) He actively advises PhD students (31+ supervised) and postdocs, with projects funded by industrial partners including CEA, EDF, and Safran. His team collaborates with CERMICS and INRIA's SERENA lab, focusing on computational mechanics, model reduction, and large-scale fracture networks.

• Numerical Analysis
• Finite Element Methods
• Computational Mechanics
• +5 more

Benjamin Graille is a Lecturer in Applied Mathematics at Paris-Saclay University, affiliated with the Orsay Institute of Mathematics. His research focuses on lattice Boltzmann methods, numerical analysis, and computational physics, particularly for solving hyperbolic conservation laws and plasma dynamics problems. His recent work emphasizes multiresolution-based mesh adaptation techniques, error control mechanisms, and finite difference formulations for lattice Boltzmann schemes. Publications highlight applications in fluid dynamics and kinetic theory of plasmas. Contact: benjamin.graille@universite-paris-saclay.fr bgraille.upsaclay@gmail.com Laboratory: Orsay Institute of Mathematics

• Lattice Boltzmann Methods
• Computational Physics
• Numerical Analysis
• +3 more

Stéphane Nonnenmacher is a Professor of Mathematics at Université Paris-Saclay, where he leads the Ecole Doctorale Mathématique Hadamard. His research focuses on quantum chaos, spectral theory, and dynamical systems, with notable contributions to eigenfunction localization and resonance distribution in chaotic systems. He co-organizes events like the Paris-Saclay conference on Analysis and PDE (2024) and the monthly seminar 'Problèmes spectraux en physique mathématique.' He is affiliated with ANR ADYCT and the Groupement de Recherches Dynamique Quantique. Teaching includes advanced courses on semiclassical analysis and partial differential equations at the undergraduate and graduate levels. Research interests span theoretical and applied mathematical physics, emphasizing spectral properties of quantum systems, scattering theory, and the interplay between classical and quantum dynamics. His work often involves collaboration with leading researchers in the field. Teaching activities in 2024-25 include an analysis course for physics students and a master's-level course on semiclassical analysis. He also taught a course on measure theory and probability at the Université des Sciences et Technologies de Chine (USTC).

• Mathematical Physics
• Quantum Chaos
• Spectral Theory
• +3 more

Jean Auriol is a researcher affiliated with the Signals and Systems Laboratory , focusing on advanced control theory and partial differential equations (PDEs). His work spans robustness, hyperbolic systems, and infinite-dimensional systems, often addressing real-world applications in engineering and physics. Research Interests: PDEs and Control Theory Robustness in Dynamical Systems Hyperbolic Systems and Networked Control Stochastic and Delayed Systems Recent Publications: Stability analysis of triangular hyperbolic systems Smart traffic management for autonomous vehicles Stochastic hyperbolic PDE stabilization Minimum time control of coupled PDEs Neural network-based parameter estimation for drilling systems

• PDEs
• Control Theory
• Robustness
• +2 more

Fayssal Benkhaldoun is a Professor at Université Paris 13, affiliated with the LAGA laboratory (UMR7539). He has held leadership roles including former Head of the MCS team (Modeling and Scientific Computing) at LAGA and former President of the Scientific Council at IUT Villetaneuse. He is also the Project Leader of the International Office at IUT Villetaneuse. His research focuses on numerical methods for partial differential equations, particularly finite volume schemes for hyperbolic and elliptic problems. Key areas include shallow water equations, flow in porous media, mesh adaptation, and combustion front propagation. He has organized major conferences such as the International Symposium on Finite Volumes for Complex Applications (FVCA), initiating its first edition in 1996. Recent work emphasizes advanced numerical techniques like stabilized meshless methods, GPU acceleration, and parallel computing for CFD applications. His contributions span environmental modeling (flood simulation, sediment transport) and industrial applications (phosphate slurry rheology). Students advised include Jan Karel (2014, streamer propagation) and Saida Sari (2013, multilayer shallow water equations). He co-organized conferences since 1996 and has been an invited speaker at numerous institutions globally.

• Finite Volume Methods
• Computational Fluid Dynamics
• Shallow Water Equations
• +3 more

K. R. Arun is an Associate Professor at the School of Mathematics, Indian Institute of Science Education and Research Thiruvananthapuram . His research focuses on hyperbolic conservation laws , asymptotic preserving schemes , and nonlinear wavefront propagation . He has held prestigious positions including an Alexander von Humboldt Fellowship and has contributed to multidimensional numerical methods for fluid dynamics. PhD in Mathematics from Indian Institute of Science, Bangalore M.Sc. in Mathematics from Indian Institute of Technology Madras His work spans numerical analysis , partial differential equations , and computational fluid dynamics , with a focus on developing schemes for shallow water flows , acoustic waves , and gas dynamics . Publications highlight applications in heterogeneous media and low Froude number flows . Scientific awards include the Martin Forster Medal for his PhD thesis and a DST-DAAD joint research grant . He has collaborated with institutions in Germany and contributed to advanced numerical algorithms.

• Hyperbolic systems of conservation laws
• Asymptotic preserving schemes
• Genuinely multidimensional numerical schemes
• +3 more

Teddy Pichard is an Assistant Professor in Applied Mathematics at École Polytechnique. He holds a PhD from the University of Bordeaux and RWTH Aachen University. His research focuses on moment models in kinetic theory, hyperbolic systems, and numerical methods, with applications in radiative transfer, two-phase flow, and plasma physics. He teaches courses on computational linear algebra, numerical analysis, and mathematical modeling of biological systems. Education: 2010-2013: Engineer student at ENSEIRB-MATMECA and MIMSE Master at University of Bordeaux 2008-2010: MPSI-MP prep at Lycée Descartes, Tours Research Interests: Teddy’s work centers on developing advanced numerical methods for kinetic and hyperbolic systems, with a focus on moment closures and their applications in plasma physics, radiative transfer, and multiphase flow modeling. His methods emphasize asymptotic preserving properties and high-order accuracy. Publications Trends: His recent articles explore moment closure techniques in plasma dynamics, two-scale modeling of two-phase flows, and numerical schemes for stiff hyperbolic systems. Key topics include realizability boundaries in moment methods and their extensions, as well as applications in low-temperature plasma and medical radiotherapy. Grants & Advising: Supervises PhD student Arthur Loison (two-phase flows) and Master’s students Zoubaïr Tazakkati and Gaspard Brunelle. Collaborates on projects involving discontinuous Galerkin schemes and Eulerian models for polydisperse sprays. Labs & Teams: Active in the Applied Mathematics Department at École Polytechnique, collaborating with groups at RWTH Aachen University and the Jacques-Louis Lions Laboratory. His research intersects computational physics, fluid dynamics, and medical dosimetry.

• Applied Mathematics
• Numerical Analysis
• Kinetic Theory
• +4 more

Pauline Lafitte is a Professor at CentraleSupélec since 2011 and a member of the Laboratoire de Mathématiques d’Orsay UMR CNRS 8628 since 2025. She leads the Mathematics Department (3rd year curriculum) and co-heads the Mathematics and Data Sciences program at CentraleSupélec. She has held leadership roles including Director of the CentraleSupélec Mathematics Federation (FR3487) since 2017 and Editor-in-Chief of the Société Mathématique de France’s Gazette since 2023. Education: Habilitation à Diriger des Recherches (HDR) from Université Lille 1 (2010), PhD from ENS Lyon (2001), Agrégation de Mathématiques (1998), and DEA in Numerical Analysis (1997). Research focuses on hyperbolic/parabolic PDEs, kinetic theory, numerical analysis, and applications in physics, biology, and engineering. Key areas include asymptotic-preserving schemes, shock profile analysis, and fluid-particle interactions. Over 27 peer-reviewed articles and contributions to ANR projects like TOP-PRED (2021–2024) and STAB (2013–2016). Teaching includes large undergraduate classes (500–800 students) and specialized M2 courses in applied mathematics, covering PDEs, numerical methods, and functional analysis. Service roles include leadership in academic committees (e.g., CNRS, SMAI), editorial boards, and conference organization (e.g., Franco-Hellenic schools, CEMRACS 2019). Extensive jury participation in PhD defenses and academic recruitment committees.

• Partial Differential Equations (PDEs)
• Numerical Analysis
• Kinetic Theory
• +3 more

Abdallah Bradji is a Full Professor at Annaba University, Algeria since 2015, and holds a French Habilitation (HDR) in Mathematics. He is an associated member of LAGA (Laboratoire d'Analyse, Géométrie, et Applications) at Sorbonne University-Paris Nord and collaborates with international institutions like WIAS (Berlin) and the Nečas Center (Prague). His research focuses on numerical analysis of partial differential equations, specializing in Finite Volume Methods, Finite Element Methods, and Gradient Schemes. Education: PhD in Applied Mathematics from Aix-Marseille University (2005), Postdoc at WIAS Berlin (2006-2007) and Nečas Center Prague (2007-2008). Research Interests: Numerical schemes for hyperbolic/parabolic equations, fractional PDEs, non-Newtonian fluids, and convergence analysis of discretization methods. Recent work includes studies on super-convergence results for mixed finite elements, fractional diffusion equations, and oblique boundary value problems. He has presented at conferences like ICIAM 2023 (Tokyo), FVCA10 2023 (Strasbourg), and NMA 2022 (Bulgaria). Bradji collaborates with researchers such as Fayssal Benkhaldoun and Jürgen Fuhrmann, focusing on fluid dynamics and computational mathematics. His labs include LAGA and the I2M laboratory at Aix-Marseille University.

• Finite Volume Methods
• Finite Element Methods
• Gradient Schemes
• +5 more