L'évaluation des flux de sédiments en suspension dans les rivières reste une tâche difficile, en particulier pour la fraction la plus grossière, à savoir le sable. Pour les fractions d'argile et de limon, l'hypothèse d'une distribution homogène des concentrations dans toute la section de la rivière est généralement valable.

Understanding and predicting the hydrodynamics of river systems is a challenging, yet crucial task for managing the land-sea continuum. Considering the goal of maintaining an acceptable accuracy level with acceptable calculation time, various modeling approaches can be investigated to address this challenge.

Spinal deformities are one of the most mechanically disabling pathology for the human body. Resolving spinal deformities using surgery is difficult, sensitive and frequently leads to the necessity to perform corrective surgeries.

There are many examples in fluid dynamics in which we wish to use a limited amount of information about a flow (e.g., from sensors) to infer its larger behavior. Rather than treat this inverse problem deterministically, it is valuable to embrace its uncertainty, e.g., due to noisy sensor measurements, and work in a probabilistic setting.

The search for sustainable solutions for the production and transport of energy is essential to ensure Europe's leadership in these sectors. Micrometric metal particles offer a promising source of sustainable energy. Upon ignition, they generate a significant amount of energy without emitting carbon dioxide.

The study of conservation laws leads us to work with hyperbolic PDE's. Such systems can generate discontinuous solutions in finite time from continuous data. Bernhard Riemann was one of the first to investigate these discontinuous solutions in a paper published in 1860.

Cardiovascular diseases are the leading cause of death and disability worldwide. Atherosclerosis is a chronic inflammatory disease, characterized by the buildup of plaque within the arterial walls causing blood vessel narrowing, and is the primary cause of many cardiovascular diseases.

Gas-particle flows are commonly simulated through two-fluid model at industrial-scale. However, these simulations need very fine grid to have accurate flow predictions, which is prohibitively demanding in terms of computational resources.

In biomechanics, spine modelling allows the calculation of intervertebral efforts. The latter reflect the combined effect of spine geometry, spine kinematics and muscle forces. Although the geometry and kinematics of the spine are well known, the estimation of muscle forces is still one of the major challenges in spine modelling.

  Global warming leads to an alteration of hydrological cycle, determining more frequent high intensity rainfall events. Alteration of hydrological conditions inevitably leads to river's hydromorphological dynamism, with changes in flow discharge, water level, sediment transport and dispersion processes, affecting the aquatic habitats and biotic communities.