The team is involved in many collaborative projects.

PEPR Numpex – Exama

Duration: 2022-2027
The Exama project (a pillar of PEPR NUMPEX) brings together research into numerical methods and reduced models for exascale computing. In particular, the Macaron team is involved in WP1 and WP2 on numerical methods and learning-based reduced models.
More infos: You can find more details here!

PEPR IA project PDE-IA

Duration: 2023-2028
The main objective of the PDE-AI project is to support the creation of a group of applied mathematicians specialized in machine learning issues, and to stimulate the cross-fertilization between mathematical analysis, optimal control and optimal transport, leading to new architectures for machine learning models. The Macaron team participates in projects focusing on optimal control.
More infos: You can find more details here!

Horizon Europe OMNIA NEW! (Host institution)

Duration: 2026-2027
MSCA Postdoctoral Fellowship
To date, no mixture theory can satisfactorily describe the processes that occur in a multiphase flow in a closed and unified way, fulfilling the laws of thermodynamics and the principle of causality. With the support of the Marie Skłodowska-Curie Actions programme, the OMNIA project believes that deeper insight into the mathematical modelling framework is necessary to achieve reliable numerical outcomes in the complex field of mixture theories. Thus, OMNIA proposes an approach that combines mathematical physics and numerical analysis to establish novel structure-preserving discretisations of unified and extended mixture theories.
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ANR DELFIN NEW!

Duration: 2026-2030
Fluid-structure interactions arise in many environmental and industrial processes. Therefore, efficient and accurate solvers which can capture the intricate structure of the interface accurately while allowing large time steps are necessary. Within this project, we propose the use of a monolithic Eulerian model which allows the simulation of all materials (gas, fluid, solid) in all flow regimes (compressible, nearly incompressible) within the same model. The focus lies on linear semi-implicit efficient asymptotic all speed scheme for viscous fluids and compressible materials which will be coupled with interface conditions based on a sharp interface approach. In particular in multi-dimensional problems, interface tracking becomes challenging and efficient implementation is key to efficient and fast simulations.

ANR MAPEFLU

Duration: 2023-2027
Epithelia have a viscoelastic behaviour: they respond as solids over short times and as fluids over large times. This fluidity plays an essential role in morphogenesis and tissue deformation. At the cellular scale, fluidity is achieved by the remodelling of junctions between cells due to their interactions but also by cell division and death. However, the contribution of apoptosis to fluidity has been little studied and remains unclear since cell death is also associated with local elastic constraints. Our project first aims at developing a novel particle model, describing cell cycles and the polarities interactions (Vicsek-like model), to assess the impact of cell death rate on tissue fluidity. The construction of this model will be strongly guided by comparisons with in vitro (MDCK cells) and in vivo (Drosophila pupa) experiments. From this particle model, a hydrodynamic model will be rigorously derived and simulations based on this new macroscopic description will be utilized to improve the understanding of tissue dynamics. The present study will thus provide a generic model, consistent with the experimental data and allowing one of the first systematic assessments of the role of apoptosis on tissues.
More infos: You can find more details here!

ANR MILK

Duration: 2022-2025
The MILK project investigates the construction of reduced models for the Vlasov equation in plasma physics. The challenge is to preserve the geometric structures of the equations, as well as their asymptotic limits, in order to guarantee stability in time. The project is a PRCI in collaboration with TUM and the Max Planck Plasma Physics Laboratory.
More infos: Visit the project homepage here!

ANR MOSICOF

Duration: 2021-2025
The aim of the MOSICOF project is to understand the properties of ferromagnetism and to highlight new multi-physics models, allowing for optimization and control of the magnetizations. More precisely, this project is build around 4 points : study the magnetostriction, investigate the influence of electric current on ferromagnetic devices, develop a mesoscale model to take into account thermal effects and optimize the geometry of the devices.
More infos: You can find more details here!

ANR SMEAGOL

Duration: 2024-2028
The structural method, introduced in the past two years, builds high-order numerical schemes to solve PDEs on compact stencils by separating physical and structural equations. This separation allows for flexibility, such as adapting to non-smooth solutions or adding constraints. The ANR project SMEAGOL aims to extend this method to nonlinear hyperbolic systems in multiple dimensions, making it suitable for problems in fluid mechanics or electromagnetism. SMEAGOL’s goals include constructing and adapting the structural method for these applications, to develop well-balanced, asymptotic-preserving and robust schemes.

Finished Projects

ANR Denise

Duration: 2021-2025
DENISE aims to explore the applicability of recent breakthroughs in the field of nonlinear inverse problems to audio signal reparation and to room acoustics, and to combine them with compact machine learning models to yield data-efficient techniques.
More infos: You can find more details here!